100 Points! Geometry question. Determine whether each pair of triangles is similar. If so, write a similarity statement. If not, what would be sufficient to prove the triangles similar? Explain your reasoning. Photo attached. Thank you!

100 Points! Geometry Question. Determine Whether Each Pair Of Triangles Is Similar. If So, Write A Similarity

Answers

Answer 1

Answer:

We cannot determine if the triangles are similar.

Step-by-step explanation:

The diagram shows two triangles, ΔABC and ΔDEF.

The tick marks on the sides of the triangles show that two corresponding sides are congruent:

AB ≅ EDBC ≅ EF

In similar triangles:

Corresponding angles are the same size.Corresponding sides are always in the same ratio.

As the diagram does not include any information about the interior angles or the length of the third side, we cannot determine if the triangles are similar.

To prove the triangles are similar by SAS similarity, we would need the measure of the included angles (angles B and E).

To prove the triangles are similar by SSS similarity, we would need the measure of the third side.

To prove the triangles are similar by AA similarity, we would need the measures of two corresponding angles.


Related Questions

An employee at a company is paid based on years of experience and years of education. Write the equation for their salary.

Salary, S, is 35,000 plus the product of 2,000 and years of experience, X, plus the product of 3,000 and years of education, D.


S=35,000x+2,000D

S=2,000x+3,000D

S=35,000+2,000x+3,000D

S+35,000=2,000x+3,000D

Answers

The compensation equation for the employee may be stated as follows:

[tex]\text{S}=35000+2000\text{x}+3000\text{D}[/tex]

What is a equation?

A equation is a mathematical statement that claims the equivalence of two expressions. Equations are used in mathematics, science, engineering, and many other professions to express connections between variables and to solve problems.

If s denotes income, x denotes years of experience, and d denotes years of education.

The employee's remuneration is computed as the basic wage of $35,000 + $2,000 for each year of experience plus $3,000 for each year of study. In deciding an employee's wage, this equation considers both their experience and education.

Therefore, [tex]\text{S}=35000+2000\text{x}+3000\text{D}[/tex] is the compensation equation for the employee.

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please help! with algebra I question

Answers

Answer:

[tex]\frac{g^{125}}{2h^{8}}[/tex]

Step-by-step explanation:

[tex]2g^{5^{3}} =2g^{125}[/tex]

[tex]4h^{2^3} = 4h^{8}[/tex]

[tex]\frac{2g^{125}}{4h^8} = \frac{g^{125}}{2h^8}[/tex]

100 Points! Geometry question. Find x and y. Please show as much work as possible. Photo attached. Thank you!

Answers

Answer: x=2, y=4

Step-by-step explanation:

Since the lines are parallel, we can say that the larger triangle and the smaller triangle are similar. Thus. x+3/(2y-1) = (3/2x+2)/(3y-5). Also, note that there are hash lines, telling us that 2y-1 and 3y-5 are equal. Thus 2y-1=3y-5, and y=4. Plugging y=4 into the first equation yields: (x+3)/(7)=(3/2x+2)/(7), or x+3=3/2x+2. Then 1/2x=1, x=2.

Thus: x=2, and y=4

Answer:

x = 2

y = 4

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

As the line bisects the side of the triangle with the y-variables, then the line is the midsegment of the triangle. This means that the line also bisects the side of the triangle with the x-variables.

Therefore, the two expressions with the x-variable are equal.

Similarly, the two expressions with the y-variable are equal.

Solving for x:

[tex]\boxed{\begin{aligned}\dfrac{3}{2}x+2&=x+3\\\\\dfrac{3}{2}x+2-x&=x+3-x\\\\\dfrac{1}{2}x+2&=3\\\\\dfrac{1}{2}x+2-2&=3-2\\\\\dfrac{1}{2}x&=1\\\\2 \cdot \dfrac{1}{2}x&=2 \cdot 1\\\\x&=2\end{aligned}}[/tex]

Solving for y:

[tex]\boxed{\begin{aligned}3y-5&=2y-1\\\\3y-5-2y&=2y-1-2y\\\\y-5&=-1\\\\y-5+5&=-1+5\\\\y&=4\end{aligned}}[/tex]

Instructions are as given:
Find the degree, the leading term, the leading coefficient, the constant term and the end behavior of the given polynomial.

p(t)=-t²(3 - 5t) (t²+ t + 4)

Answers

[tex]\underline{\underline{\purple{\huge\sf || ꪖꪀᦓ᭙ꫀ᥅}}}[/tex]

The given polynomial is:

p(t) = -t²(3 - 5t)(t² + t + 4)

To find the degree of the polynomial, we need to determine the highest power of t in the expression. This is given by:

degree = 2 + 1 + 2 = 5

So the degree of the polynomial is 5.

The leading term of the polynomial is the term with the highest power of t. This is given by:

leading term = -t² * 5t² = -5t^4

So the leading term of the polynomial is -5t^4.

The leading coefficient of the polynomial is the coefficient of the leading term. This is given by:

leading coefficient = -5

So the leading coefficient of the polynomial is -5.

The constant term of the polynomial is the term that does not contain any powers of t. This is given by:

constant term = -t²(3)(4) = -12t²

So the constant term of the polynomial is -12t^2.

To find the end behavior of the polynomial, we need to determine what happens to the value of the polynomial as t approaches positive or negative infinity. Since the degree of the polynomial is odd, we know that the end behavior will be opposite for t approaching positive or negative infinity. We can use the leading term to determine the end behavior:

- as t approaches positive infinity, the leading term approaches negative infinity, so the end behavior is p(t) → -∞ as t → ∞

- as t approaches negative infinity, the leading term approaches positive infinity, so the end behavior is p(t) → ∞ as t → -∞

So the end behavior of the polynomial is:

- p(t) → -∞ as t → ∞

- p(t) → ∞ as t → -∞

What is Navems manufacturing cycle efficiency (MCE) for its elevators

Answers

The manufacturing cycle efficiency (MCE) of Navems for its elevators is 38.6%

The correct answer choice is option A.

What is Navems manufacturing cycle efficiency (MCE) for its elevators?

Manufacturing cycle efficiency (MCE) = Value-added production time / Total cycle time.

Value-added production time;

Inspection time = 12 days

Process time = 5 days

Total = 17 days

Total cycle time:

Wait time = 12 days

Inspection time = 12 days

Process time = 5 days

Move time = 6 days

Queue time = 9 days

= 44 days

Hence,

Manufacturing cycle efficiency (MCE) = Value-added production time / Total cycle time × 100

= 17 days / 44 days × 100

= 38.63636363636363

Approximately,

38.6%

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What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Please awnser asap I will brainlist

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The number of $10 tickets sold is 1210 tickets.

The number of $20 tickets sold is 1344 tickets.

The number of $30 tickets sold is 827 tickets.

How to determine the number of each type of tickets sold?

In order to write a system of linear equations to describe this situation, we would assign variables to the number of each tickets sold, and then translate the word problem into an algebraic equation as follows:

Let the variable x represent the number of $10 tickets.Let the variable y represent the number of $20 tickets.Let the variable z represent the number of $20 tickets.

Since the basketball team sold 3381 tickets overall, 134 more $20 tickets than $10 tickets and the total sales are $63,790, a system of three linear equations to model this situation is given by;

x + y + z = 3381

y - x = 134

10x + 20y + 30z = 63790  ⇒ x + 2y + 3z = 6379

Next, we would solve the system of three linear equations simultaneously as follows;

x + x + 134 + z = 3381

2x + 134 + z = 3381

z = 3247 - 2x

x + 2(x + 134) + 3(3247 - 2x) = 6379

x = 1210 tickets.

For the value of y, we have:

y = x + 134

y = 1210 + 134

y = 1344 tickets.

For the z-value, we have:

z = 3247 - 2x

z = 3247 - 2(1210)

z = 827 tickets.

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Complete Question:

A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3381 tickets overall. It has sold 134 more $20 tickets than $10 tickets. The total sales are $63,790. How many tickets of each kind have been sold?

How many $10 tickets were sold?

How many $20 tickets were sold?

how many $30 tickets sold?

proportional relationships 7th grade

Answers

Answer/ Step-by-step explanation:

---

Proportional relationships are relationships between two variables where their ratios are equivalent.

---

Lets take a look at example one attached image:

The constant of proportionality is the value of y when x = 1 in a proportional relationship.

On which line does y = 1/2 when x = 1?

Only line C has a y- value less than 1 when x = 1, but how can we be sure that the constant of proportionality is exactly 1/2?

If the constant of proportionality of a proportional relationship is 1/2 then:

y = 1/2x (like rise over run (slope), rise up 1 unit, and run right 2 units)

We can try the point (2, 1), and plug in the values into the equation, where x = 2, y = 1.

(1) = 1/2(2)

1 = 1

Line C has a constant proportionality of 1/2 between x and y.

--------

Example 2, 3, and 4 is a worked out example on khan academy (attached images)

Please awnser asap I will brainlist

Answers

Answer:

A ∩ B = {7, 8}

Step-by-step explanation:

A = {1, 2, 5, 7, 8}

B = {6, 7, 8, 9}

A ∩ B = set of elements in both A and B

A ∩ B = {7, 8}

Jerry drew AJKL and AMNP so that ZK ZN, ZL 2P, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
A. Similar - SAS
B. Similar - AA
C. Similar - SSS
D. Cannot be determined

Answers

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

It is given that two triangles that are JKL and MNP are considered in which:

∠K = ∠N∠L = ∠PJK = 6MN = 18

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

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Una muestra de 26 personas seleccionadas al azar de una población de un barrio tiene una media salarial de 1800 pesos y una variante de 10 pesos estime la media salarial en el barrio a un nivel de confianza de 90

Answers

The estimated mean salary in the neighborhood at a 90% confidence level based on the given sample is {1798.94, 1801.06}.

What is the estimated mean salary in the neighborhood?

Given data:

Sample size (n) = 26Sample mean (x) = 1800 pesosSample variance (s²) = 10 pesosConfidence level = 90%

Since we know the sample variance (s²), the standard deviation is:

s = √(s²)

s = √(10)

s = 3.16 pesos

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

The critical value is obtained from the t-distribution table based on the desired confidence level and degrees of freedom (n-1). For a 90% confidence level and 25 degrees of freedom, the critical value is 1.708.

SE = s / √n

SE = 3.16 / √26

SE = 0.618 pesos

Confidence Interval = 1800 ± (1.708 * 0.618)

= 1800 ± 1.055544

= {1798.94, 1801.06}.

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Name: Salem A
Score:
Unit # 12 - Lesson #4 Exit Ticket: The spinner shown below has
three sections. If the pointer is spun one time, which number is it
most likely to land on? Explain your choice.
3
1
2

Answers

The number the spinner is most likely to land on is 2

Which number is it most likely to land on?

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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Si un hombre camina en promedio a una velocidad de 4 2/5 km por hora, ¿qué tan lejos puede llegar en 2 2/3 de hora?
Escribe el resultado en fracción.

Answers

Si un hombre camina a una velocidad promedio de 4 2/5 km por hora, podemos calcular la distancia que puede recorrer en 2 2/3 horas.

Primero, convertimos la velocidad promedio a una fracción impropia. 4 2/5 se puede expresar como 22/5. Por lo tanto, la velocidad es de 22/5 km por hora.

Luego, multiplicamos la velocidad por el tiempo para obtener la distancia. En este caso, la multiplicación sería (22/5) * (8/3) = 176/15 km.

Entoncs, el hombre puede llegar a una distancia de 176/15 km en 2 2/3 horas.

En resumen, el resultado es 176/15 km.

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Algebra Help PLS
solve the equation by the square root property
2x^2+6=10

Answers

Answer: 2.8

Step-by-step explanation:

2x^2+6=10

2x^2=10-6

x^2=16 divided by 2

x= square root of 8

x=2.8

NO LINKS!! URGENT HELP PLEASE!!!

10. Find the equation of the circle below.​

Answers

Answer:

(x+3)^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is (x – h)^2 + (y – k)^2 = r^2, where h is the x value of the center, k is the y value of the center, and r is the radius.


We can see from the picture that the radius is at about (-3, -1) and the radius is about 4, so we can plug those in:
(x – (-3))^2 + (y – (-1))^2 = 4^2

Simplify:
(x+3)^2 + (y+1)^2 = 16

Answer:

Equation of circle:[tex](x + 3)^2 + (y + 1)^2 = 16[/tex]

Step-by-step explanation:

Given:

Center of the circle = (-3, -1)

Point on the circle = (1, -1)

In order to find the radius of the circle, we can use the distance formula.

distance =[tex] \boxed{\bold{\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}}[/tex]

where:

x1 and y1 are the coordinates of the center of the circlex2 and y2 are the coordinates of the point on the circle

In this case, the distance formula becomes:

radius = [tex]\sqrt{(-3 - 1)^2 + ((-1) - (-1))^2}= \sqrt{16}=4[/tex]

Therefore, the radius of the circle is 4 units.

Now that we know the radius of the circle, we can find the equation of the circle using the following formula:

[tex]\boxed{\bold{(x - h)^2 + (y - k)^2 = r^2}}[/tex]

where:

h and k are the coordinates of the center of the circler is the radius of the circle

In this case, the equation of the circle becomes:

=[tex](x + 3)^2 + (y + 1)^2 = 4^2[/tex]

=[tex](x + 3)^2 + (y + 1)^2 = 16[/tex]

This is the equation of the circle.

this distance between two floors is 9'0 1/2". if 14 raisers are to be used in a set of stairs, what is the height of each raiser?

Answers

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.

City

Number of Owners

Total Population

Ratio as decimal

Owners per 100

Indianapolis

6,245

0.90 million



New York

911,216

18.6 million



Cairo

10,598

19.1 million



Beijing

959,611

21.2 million



Tokyo

1,700,510

26.5 million

Answers

Indianapolis: Ratio as decimal: 0.006939, Owners per 100: 0.7

New York: Ratio as decimal: 0.049018, Owners per 100: 4.9

Cairo: Ratio as decimal: 0.000554, Owners per 100: 0.1

Beijing: Ratio as decimal: 0.045336, Owners per 100: 4.5

Tokyo: Ratio as decimal: 0.064198, Owners per 100: 6.4

To calculate the ratio as a decimal and the owners per 100 for each city, we need to divide the number of owners by the total population and perform some additional calculations.

Let's calculate the ratio as a decimal for each city:

For Indianapolis:

Number of Owners: 6,245

Total Population: 0.90 million

Ratio as decimal: 6,245 / 0.90 million

= 6,245 / 900,000

= 0.006939

For New York:

Number of Owners: 911,216

Total Population: 18.6 million

Ratio as decimal: 911,216 / 18.6 million

= 911,216 / 18,600,000

= 0.049018

For Cairo:

Number of Owners: 10,598

Total Population: 19.1 million

Ratio as decimal: 10,598 / 19.1 million

= 10,598 / 19,100,000

= 0.000554

For Beijing:

Number of Owners: 959,611

Total Population: 21.2 million

Ratio as decimal: 959,611 / 21.2 million

= 959,611 / 21,200,000

= 0.045336

For Tokyo:

Number of Owners: 1,700,510

Total Population: 26.5 million

Ratio as decimal: 1,700,510 / 26.5 million

= 1,700,510 / 26,500,000

= 0.064198

Now, let's calculate the owners per 100 for each city by multiplying the ratio as a decimal by 100:

Owners per 100 for Indianapolis: 0.006939 * 100 = 0.6939

Owners per 100 for New York: 0.049018 * 100 = 4.9018

Owners per 100 for Cairo: 0.000554 * 100 = 0.0554

Owners per 100 for Beijing: 0.045336 * 100 = 4.5336

Owners per 100 for Tokyo: 0.064198 * 100 = 6.4198

Therefore, rounding the ratio as a decimal to 6 places, and the owners per 100 to one decimal, we have:

Indianapolis: Ratio as decimal: 0.006939, Owners per 100: 0.7

New York: Ratio as decimal: 0.049018, Owners per 100: 4.9

Cairo: Ratio as decimal: 0.000554, Owners per 100: 0.1

Beijing: Ratio as decimal: 0.045336, Owners per 100: 4.5

Tokyo: Ratio as decimal: 0.064198, Owners per 100: 6.4

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the perimeter of a semicircle protractor is 14.8cm,find it's radius​

Answers

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =[tex](1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693[/tex] cm.

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Example 2: Use the Venn diagram to determine each set and the number of elements in each set.
helpppp

Answers

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

How to Use the Venn diagram to determine each set and the number of elements in each set?

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

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Un cultivo de 32 200 bacterias aumenta un 25% cada 20 minutos. ¿Cuál será la población de bacterias al transcurrir 4 horas?

Answers

Para calcular la población de bacterias al cabo de 4 horas, primero necesitamos determinar cuántos intervalos de 20 minutos hay en 4 horas.

4 horas son equivalentes a 240 minutos. Dividiendo 240 minutos entre 20 minutos por intervalo, obtenemos 12 intervalos.

Dado que la población de bacterias aumenta un 25% cada 20 minutos, podemos aplicar este crecimiento a cada intervalo de 20 minutos.

Para cada intervalo de 20 minutos, la población de bacterias aumentará en un 25%.

Por lo tanto, podemos calcular la población de bacterias al final de los 12 intervalos de la siguiente manera:

Población final = Población inicial * (1 + tasa de crecimiento)^número de intervalos

Población inicial = 32,200 bacterias

Tasa de crecimiento = 25% = 0.25

Número de intervalos = 12

Población final = 32,200 * (1 + 0.25)^12

Realizando los cálculos, obtenemos la población final de bacterias al cabo de 4 horas.

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Determine the equation of the circle graphed below

Answers

Answer:

(x-2)^2 + (y+3)^2 = 5.1^2

Step-by-step explanation:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where h and k are the x and y values of the center of the circle respectively and r stands for the radius.

The center is given to us, at (2, -3) so we can plug that in:

(x-(2))^2 + (y- (-3))^2 = r^2

Simplify:

(x-2)^2 + (y+3)^2 = r^2

We can also solve for the radius by getting another point given to us: (3,2).

Using the pythagorean theorem, we can find how far the two points are away from each other:


a^2 + b^2 = c^2

1^2 + 5^2 = c^2
1 + 25 = c^2

26 = c^2

c ~ 5.1

Plug the radius we solved for in for r:
(x-2)^2 + (y+3)^2 = 5.1^2

The length of a rectangular banner is 5 feet longer than its width. If the area is 66
square​ feet, find the dimensions.

Answers

Answer:

The length should be 11 feet and the width should be 6 feet. 11 feet is 5 feet more than 6 feet. 11 feet times 6 feet is 66 square feet.

Step-by-step explanation:

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Answers

The set intersection X' ∩ Y' is expressed as; {e, 24}

How to find the intersection of the sets?

We are given the sets as;

U = {a, b, c, d, e, f, 19, 20, 21, 22, 23, 24}

X = {a, b, c, 20, 21, 22}

Y = {b, d, f, 19, 21, 23}

Union of the sets A and B , denoted A ∪ B , is the defined as the set of all objects that are a member of A , or B , or both. The union of {1, 2, 3} and {2, 3, 4} is the set {1, 2, 3, 4} . Intersection of the sets A and B , denoted A ∩ B , is the set of all objects that are members of both A and B

Thus:

X' ∩ Y' is as follows;

X' = {d, e, 19, 23, 24}

Y' = {a, c, e, 20, 22, 24}

X' ∩ Y' = {e, 24}

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Need Help Asap
70s = b
How many wing beats in one minute (60 seconds)?

Answers

Answer:

4,200

Step-by-step explanation:

70s = b

70(60) = b

4200 = b

Helping in the name of Jesus.

Does anyone know how to solve this with steps?

Find the savings plan balance after 19 months with an APR of 11​% and monthly payments of ​$250.

Answers

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 9 workers can complete a job in 56 minutes, how many minutes would it take 14 workers?

Answers

Therefore, it would take approximately 36 minutes for 14 workers to complete the job.

To solve this inverse variation problem, we'll use the formula: t = k/w, where t represents the time needed, w represents the number of workers, and k is the constant of variation.

We can find the value of k by plugging in the given values of 9 workers and 56 minutes into the formula:

56 = k/9

To find the value of k, we multiply both sides of the equation by 9:

k = 504

Now that we know the constant of variation, we can determine the time it would take for 14 workers to complete the job. Plugging in the values into the formula:

t = 504/14

t ≈ 36

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Si tengo cinco naranjas y tengo que repartirlas entre cuatro niños cuánto le toca a cada uno

Answers

Each child will get 1 orange, and there will be one orange left over.

If you have five oranges and you need to distribute them among four children, then you need to find out how many oranges each child will get.

To do this, you can divide the total number of oranges by the number of children.

Let's see how to do this: Divide the number of oranges by the number of children.5 ÷ 4 = 1.25This means that each child will get 1.25 oranges.

However, since you can't give a child a fraction of an orange, you will need to round this number to the nearest whole number.

If the decimal is less than 0.5, you round down; if it's 0.5 or greater, you round up.

In this case, 1.25 is closer to 1 than to 2, so you round down to 1.

Therefore, Each child will receive one orange, with one orange remaining.

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find the slope intercept equation of the line through (2,3) and (6,11)

Answers

Therefore, the slope-intercept equation of the line passing through the points (2,3) and (6,11) is y = 2x - 1.

To find the slope-intercept equation of the line passing through the points (2,3) and (6,11), we can use the formula for slope:

slope (m) = (change in y) / (change in x)

First, calculate the change in y and change in x using the given points:

change in y = 11 - 3 = 8

change in x = 6 - 2 = 4

Now, substitute the values into the slope formula:

slope (m) = 8 / 4 = 2

Next, we can use the point-slope form of the linear equation:

y - y1 = m(x - x1)

Choose one of the given points, let's use (2,3), and substitute the values into the equation:

y - 3 = 2(x - 2)

Simplifying the equation:

y - 3 = 2x - 4

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 2x - 1

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The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.

Answers

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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Enter the number that belongs in the green box

Answers

The angle measure that belongs in the green box is given as follows:

70.67º.

What is the law of sines?

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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