∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =

Answers

Answer 1

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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Related Questions

experimento aleatorio con orden,remplazo y sin repeticion

Answers

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

How to explain the information.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

[2.4-(0.3-3.21)·2+0.44÷(-2)]÷2/5 pls help me asap I litteraly have no idea how to do this

Answers

the final answer is 0.149

0.3-3.21= -2.91
-2.91 * 2= -5.82
2.4 - 5.82= -3.42
-3.42 + 0.44= -2.98
-2.98 / -2= 1.49
1.49 / 2= 0.745
0.745 / 5= 0.149

A skateboarder gets paid 10,000 fo4 winning a competition he puts it in a savings account that increases at 7% per year.How much money will he have after 8 years

Answers

Answer:

[tex]\$17181.86[/tex]

Step-by-step explanation:

[tex]A=P(1+r)^t\\A=10000(1+0.07)^8\\A=10000(1.07)^8\\A\approx\$17181.86[/tex]

Answer: $17182.

This is an example of an exponential growth function, which looks like f(x)=a(1+r)^x, where r is the growth rate, a is the initial value, and x is the time. 10000 is the initial value, 7% is the growth rate, and 8 years is the time. 7% can become 0.07. f(x)=10000(1+0.07)^8. f(x)=10000(1.07)^8. First simplify the exponent. f(x)=10000(1.71818618). f(x)≈17182.

Dot Plots and Histograms-Quiz-Level F
Briana is learning to play the guitar. At the end of each week, she records the number of days
she practiced. Her data is shown below.
2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6
OFReady
Which dot plot displays the data distribution?
1
2
2
3
4
Number of Days
3
Number of Days
:
5
6
7
567
0
+
0
1
2
3
4
Number of Days
2
5
...
3
4
Number of Days
5 6
..

Answers

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

What is a dot plot?

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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tickets to a movie cost $10.50 for adults and $7.25 for students. you and a few friends purchased 8 tickets for $61.25. how many adult tickets and student tickets were purchased?

Answers

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form

Answers

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 [tex]\times[/tex] (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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11 of 3011 of 30 Questions





















Question
A baker makes peanut butter cookies and chocolate chip cookies.

She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?

Answers

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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The measure of the largest scale of a triangle is 40o more than the measure of the smallest angle, and the measure of the remaining angle is 20o more than the measure of the smallest angle. Find the measure of each angle.

Answers

Answer:

  40°, 60°, 80°

Step-by-step explanation:

You want the measures of the three angles of a triangle if the larger angles are 20° and 40° greater than the smallest.

Middle angle

The largest angle is 20° more than the middle angle, and the smallest is 20° less. Then the sum of the three angles is 3 times the middle angle, which must be 180°/3 = 60°.

The three angles are 40°, 60°, 80°.

__

Additional comment

If you need equations, you can designate the angles a, b, c, smallest to largest. Then c=a+40, and b=a+20. The sum is ...

  (a) +(a +20) +(a +40) = 3a +60 = 180

Dividing by 3 tells you ...

  a +20 = 60 . . . . . matches the value of b

  a = 60 -20 = 40

  c = 40 +40 = 80

If we were to write the equations in terms of b, we would have ...

  (b -20) +b +(b +20) = 180

  3b = 180

  b = 60

This version gives a 1-step equation to solve instead of a 2-step equation, easier to do mentally.

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The measure of the Angles in the triangle are: the smallest angle is 40 degrees, the largest angle is 80 degrees, and the remaining angle is 60 degrees.

The measure of the smallest angle as x.

According to the given information, the largest angle is 40 degrees more than the smallest angle. Therefore, the measure of the largest angle is x + 40.

Similarly, the remaining angle is 20 degrees more than the smallest angle. So, the measure of the remaining angle is x + 20.

The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:

x + (x + 40) + (x + 20) = 180.

Simplifying the equation, we have:

3x + 60 = 180.

Subtracting 60 from both sides of the equation:

3x = 120.

Dividing both sides by 3:

x = 40.

Therefore, the measure of the smallest angle is 40 degrees.

Using this value, we can find the measures of the other two angles:

The largest angle is x + 40 = 40 + 40 = 80 degrees.

The remaining angle is x + 20 = 40 + 20 = 60 degrees.

the measure of the angles in the triangle are: the smallest angle is 40 degrees, the largest angle is 80 degrees, and the remaining angle is 60 degrees.

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anyone can solve this?

[tex] \sqrt[4] {a}^{3 \:} to \: power[/tex]

Answers

The value of the expression [tex]\sqrt[4]{a}^3[/tex] when evaluated is [tex]a^\frac34[/tex]

How to evaluate the expression

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

[tex]\sqrt[4]{a}^3[/tex]

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

[tex]\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}[/tex]

Apply the exponent rule of indices

[tex]\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14[/tex]

Apply the power rule of indices

[tex]\sqrt[4]{a}^3 = a^\frac34[/tex]

Hence, the expression [tex]\sqrt[4]{a}^3[/tex] when evaluated is [tex]a^\frac34[/tex]

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find the value of (32) 3/5

Answers

Answer:

19.2

Step-by-step explanation:

(32) 3/5

= 32 multiple 3/5

= 96/5 [ explanation: 32 multiple 3 = 96 ]

= 19.2 [ explanation: 96 divided by 5 = 19.2 ]

Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)

Answers

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

Solving the systems of inequalities graphically

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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I need the answer for this ones, please.

Answers

Answer:

Question 3) c.

Question 4) d.

Step-by-step explanation:

For the first question, it would be c., x is greater than and equal to -5. On the graph, there is a point at, (-5, -4). This restricts the graph from being all real numbers and the x value can't be less than -5. Since the point is a closed circle, it includes the point, so the domain will be -5, and everything greater than that value, making it C.

For the next question its asking for the range of the given graph. The range is based on y values. Domain is based on x values. There is a point at (-5, -4). Restrict the values of y to not be anything less than -4. And since the function continues and increases to positive infinity, the range would have to be y is greater than and equal to -4, making it d.

B= {X:X es un número entero comprendido entre -1 y 1}

Answers

The set B is the set of integers between -1 and 1, which includes -1, 0, and 1.

The set B can be defined as follows:

B = {x: x is an integer between -1 and 1}

This means that B is a set that contains all the integers x that satisfy the condition of being between -1 and 1. In other words, B includes the integers -1, 0, and 1. These are the only integers that fall within the specified range.

To represent this set in roster notation, we can write:

B = {-1, 0, 1}

In set-builder notation, we can express B as:

B = {x | x ∈ ℤ, -1 ≤ x ≤ 1}

This notation indicates that B consists of all the integers x such that x belongs to the set of integers (ℤ) and x is greater than or equal to -1 and less than or equal to 1.

In summary, the set B is the set of integers between -1 and 1, which includes -1, 0, and 1.

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IF AB||CD AND CB INTERSECTS DA AT F, FIND THE VALUE OF X. ​

Answers

19. The calculated value of x in the triangles is 5

21. The calculated value of x in the triangles is 4

How to calculate the value of x

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

The similar figures

The value of x can then be calculated using the following ratio

x : 4 = 15 : 12

Express the ratio as fraction

So, we have

x/4 = 15/12

Solving for x, we have

x = 4 * 15/12

Evaluate

x = 5

Hence, the value of x is 5

For the second pair of triangles, we have the following ratio

x : 2 = 12 : 6

Express the ratio as fraction

So, we have

x/2 = 12/6

Solving for x, we have

x = 2 * 12/6

Evaluate

x = 4

Hence, the value of x is 4

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A line passes through R(6, 9) and K(-6, 15)
a) What is the slope of RK?
b) Line VB is parallel to RK. What is the slope of VB?
c)Line WX is perpendicular to RK. What is the slope of WX? ​

Answers

The slope of line WX is 2.Since the slope of RK is -1/2, the slope of WX will be the negative reciprocal of -1/2, which means we flip the fraction and change its sign:

slope of WX = -1 / (-1/2) = 2.

a) To find the slope of the line RK, we can use the formula:

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

Given the points R(6, 9) and K(-6, 15), we can calculate the change in y and change in x:

change in y = 15 - 9 = 6

change in x = -6 - 6 = -12

Plugging these values into the slope formula:

slope = (6) / (-12) = -1/2

Therefore, the slope of line RK is -1/2.

b) Since line VB is parallel to line RK, it will have the same slope as RK. Therefore, the slope of line VB is also -1/2.

c) To find the slope of line WX, which is perpendicular to RK, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. Since the slope of RK is -1/2, the slope of WX will be the negative reciprocal of -1/2, which is 2.

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Hi can someone who is good at this please help I'm struggling here.




if there were 100 males and 200 females how many flies of each would have red eyes?

Answers

Answer:

The cross-over diagram is correct. The number of flies of each sex with red eyes will depend on the genotype of the parents.If a red-eyed male mates with a white-eyed female, all of the offspring will be female and have red eyes (XRXr).If a red-eyed male mates with a red-eyed female, half of the offspring will be male and have red eyes (XRY) and half will be female and have red eyes (XRXr).If a white-eyed male mates with a white-eyed female, all of the offspring will be white-eyed (XrXr).Therefore, if there are 100 males and 200 females, the number of flies of each sex with red eyes will be:Males: 50Females: 150I hope this helps!

If you know the answer answer it with the explanation thank you.

Answers

The four numbers are 1, 5, 11, and 23.

Four numbers have a mean of 10 and the median is 8. Two of the numbers are 1 and 5. The other two numbers must be 11 and 23.

The mean of a set of numbers is calculated by adding all of the numbers and dividing by the number of numbers. In this case, the mean is 10, so the sum of the four numbers is 40. We already know that two of the numbers are 1 and 5, so the other two numbers must add up to 34.

The median of a set of numbers is the middle number when the numbers are arranged in ascending order. In this case, the median is 8, so the third number must be 8. This leaves the fourth number to be either 11 or 23.

If the fourth number is 11, then the mean of the four numbers will be 9.5, which is not correct. Therefore, the fourth number must be 23.

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A circle has a radius of 4 ft.

What is the area of the sector formed by a central angle measuring 260°?

Use 3.14 for pi.

Enter your answer, rounded to the nearest tenth in the box.

Answers

The area of the sector is approximately 36.0 ft²

What is the area of the sector?

To find the area of the sector formed by a central angle of 260° in a circle with a radius of 4 ft, you can use the formula:

Area of sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is the value of pi, and r is the radius.

Plugging in the values:

θ = 260°

r = 4 ft

π = 3.14

Area of sector = (260/360) * 3.14 * 4²

Area of sector = (0.7222) * 3.14 * 16 = 36.3 square feet

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Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars.

c 1 2 3 4 5
f(c)1 4 9 16 25
, , , ,

Answers

The correct ordered pairs represented in the table are (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25).

The given table represents a function f(c) where c represents the quantity of furniture and f(c) represents the per unit cost in hundreds of dollars. We need to determine the correct ordered pairs based on the given information.

From the table, we can see that the values of c increase by 1 each time, starting from 1 and going up to 5. Similarly, the values of f(c) represent the square of the corresponding value of c. For example, f(1) = 1, f(2) = 4, f(3) = 9, and so on.

Based on this pattern, we can determine the correct ordered pairs:

(1, 1) corresponds to c = 1 and f(c) = 1

(2, 4) corresponds to c = 2 and f(c) = 4

(3, 9) corresponds to c = 3 and f(c) = 9

(4, 16) corresponds to c = 4 and f(c) = 16

(5, 25) corresponds to c = 5 and f(c) = 25

Therefore, the correct ordered pairs represented in the table are (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25).

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Select the reason that best
supports Statement 2 in the
given proof.
A. Division Property of Equality
B. Subtraction Property of Equality
C. Linear Pair Postulate
D. Transitive Property

Answers

The reason that best supports Statement 2 in the given proof is

C. Linear Pair Postulate

What is linear pair postulate?

The Linear Pair Postulate, also known as the Linear Pair Axiom, is a fundamental concept in geometry related to angles and their relationships. It states the following:

If two angles form a linear pair, then they are supplementary.

In the proof the angles are linear pair hence their sum id supplementary

∠ 1 + ∠ 2 = 180 degrees

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proof of the converse of the
e theorem. As you read through the
to complete the statements on the
Complete the statements by choosing the correct
answer from the drop-down menu.
are being used to get the equation in
are being used to get the equation in
are being used to get the equation in
step 9.
In step 14, "similar argument" means to draw segment
and follow the same logic in steps 3-12.
step 6.
step 8.

Answers

The converse of the parallelogram angle theorem is proved.

How to explain the information

The term parallelogram is defined as a quadrilateral whose two pairs of sides are parallel to each and the four angles at the vertices are not equal to the right angle and then the quadrilateral.

Here we are given that  LM ≅ ON and  LO ≅ MN

Here we have also know that ∠LNO and ∠NLM are alternative and interior angles

Then according to the reflexive property, it can be written as

=> LN ≅ LN

Then as per the SSS similarity the given triangle is written as,

ΔLNO ≅ ΔNLM

Here we have also it can be written as ∠OLN ≅ ∠MNL and  ∠LNO ≅ ∠NLM

Then it can be written as LM || ON and  LO || MN

Then the LMNO is a parallelogram

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2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)​

Answers

So basically the diagram shou3 times 8.53 don’t hi
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They base their arguments on the current trends in developed countries in this area in the form of employer-sponsored health insurance schemes, greater job security, improved treatment, etc. Others, (especially private entrepreneurs), are not very optimistic about governments trying to regulate the employer-employee relations closely. Competitive pressures, deregulation of industry, rising wage bills, increasing number of older employees needing social security protection, inflationary pressures, heavy taxes and a host of other factors having a significant bearing on the profitability of a firm do not seem to support government's active intervention in industry. These experts contend that if Nepalese firms have to remain competitive in international markets, they should be freed from all types of control, especially those imposed by the government. Question 1 (5 Marks) Which trend do you think will occur in Nepalese IRS scenario and why? 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Density of air = 1.29 kg/m, and the specific heat of air is 721 J/(kg) (a) How much heat transfer occurs due to evaporation in each breath? Heat transfered in each breath = (b) What is the rate of heat transfer in watts if the person is breathing at a moderate rate of 18.0 breaths per minute? Rate of heat transfer= W (c) If the inhaled air had a temperature of 20 C, what is the rate of heat transfer for warming the air? Think & Prepare 1. To raise the temperature of air from 20C to 38C, how much heat is required? 2. How will you calculate the mass of air from its volume and density? 3. Use the breathing rate to calcuate the rate of heat transfer in W. Rate of heat transfer= W (d) Discuss the total rate of heat transfer as it relates to typical metabolic rates. Will this breathing be a major form of heat transfer for this person? Total heat tranfer during to two processes W Cohens guidelines (which do not apply to all applications) arethat small, medium, and large values of r correspond toA).46, .67, .84B).10, .20, .30C) .00, .50, 1.00D) .10, .30, .50 In the IS-LM model, which of the following causes income to rise and the interest rate to decline? A) an increase in taxes B) a decrease in taxes C) an increase in the money supply D) a decrease in the money supply In the IS-LM model, which of the following causes both the interest rate and income to rise? A) an increase in taxes B) a decrease in taxes C) an increase in the money supply D) a decrease in the money supply Consider the perfectly competitive firm described by the short run cost curves in the figure below 20L MC 18. ATC AVC 16 14 12 10 4 2 0 5 10 15 20 25 30 35 40 45 50 Quantity (mugs per day) Price and cost (dollars per mug) 8 6 If the price of the firm's output is $14, is the firm making economic profit, loss or normal profit, and should they stay in business in the short run or shutdown? O economic loss, shut down in the short run O economic profit, stay in business in the short run economic loss, stay in business in the short run normal profit, stay in business in the short run It is generally accepted that the word "kawanatanga" was not a good translation into te reo Maori of the term "sovereignty". The word that would have conveyed the idea more accurately would have been "mana" but that was not used most likely because:a.Kawanatanga was already known to Maori through translation of the Bible into te reo.b.The Williamses who provided the translation were sufficiently fluent in te reo to know that no rangatiratanga would agree to cede his or her mana.c.The Williamses, father and son, who provided the translation were not sufficiently fluent in te reo. which of the choice(s) shows a keto-enol tautomeric pair(s)? [2.4-(0.3-3.21)2+0.44(-2)]2/5 pls help me asap I litteraly have no idea how to do this according to claude ("rael") vorilhon, the "elohim" were What can the Fed do to address an asset bubble? In other words,what are the tools that the Fed can use and can how can the Fed usethese tools to address an asset bubble? T/F: Microorganisms that produce antibiotics in their natural habitat may have a selective advantage over neighboring microbes. A researcher observes hydrogen emitting photons of energy 1.89 eV. What are the quantum numbers of the 2 states involved in the transition that emits these photons? The measure of the largest scale of a triangle is 40o more than the measure of the smallest angle, and the measure of the remaining angle is 20o more than the measure of the smallest angle. Find the measure of each angle. A corporation elected 5 corporation status. All shareholders gave their written consent, except for a missing shareholder who owns 1% of the outstanding stock. Which of the following statements about this situation is correct? The election is valid if the board of directors gives its written consent. The election is invalid because all shareholders must give their written consent. The election requires two-thirds of the shareholders' written consent to be valid The election requires 51% of the shareholders to give their written consent to be valid.