1. Use the word back to complete the following flow chart proof to show that is ABCD is a parallelogram and ZABEZBAE, then ABCD is a rectangle. Glyen: ABCD is a parallelogram and ZABEZBAE Prove: ABCD is a rectangle Word Bank SE AE Definition of a diagonalsofa ZABEZBAE rectangle parallelogram bisecleach ather Segment Addition ABCD is a ABCD B a rectangle BEE DE 2 CE E AE Postulate paralelogram Note: You can use the answers in the word bank mone than once fif needed) DEBE Transitive Property of Conguence CEAE Given BD EAC Converse Oilsosceles Trange Theorem Given NATION odbor

Step 1

At 1:30 pm

Monument's shadow= 22.5 feet

Calvin's shadow =3.5 feet

Calvin is 6.25 feet tall

a) for the monument

shadow= adjacent side=22.5 ft

hypotenuse= unknow=h1

height of the monument = opposite side= y1

b) for Calvin

shadow= adjacent side=3.5 ft

hypotenuse= unknow=h2

height of the Calvin = opposite side= 6.25

Step 2

those triangles are similar, so the ratio between the shadow and the height must be constant, so

ANSWER

EXPLANATION

To find the percentage increase in the tuition, we have to find the difference between the new tuition and the old tuition and divide it by the old tuition.

Therefore, we have that:

Therefore, the percentage increase is:

That is the answer.

Explanation:

There are 26 red cards in a pack of playing cards.

So,

Probability of picking a red card =Number of red cards/Total number of cards

We plug in what we know

Therefore, the probability of picking a red card is 1/2.

There is only one Queen of hearts in a deck of cards. So,

Probability of picking a Queen of hearts = Number of Queen of Hearts/ Total number of cards

Therefore, the probability of picking a

Queen of hearts is 1/52.

There are 13 cards that are clubs. So,

Probability of picking a club = Number of Clubs/ Total number of cards

Therefore, the probability of picking a club is 1/4.

There are 4 cards that are 5, 6, and 7. This gives a total of 12 cards. So,

The probability of picking 5,6, or 7 = 12/52 = 3/13

Therefore, the probability of picking 5,6, or 7 is 3/13.

We are given the following sum of fractions

We are asked to round off each term to 0, 1/2, or 1.

Notice that the term 3/7 (0.43 in decimal) is closest to 1/5 (0.50 in decimal), so we will round off 3/7 to 1/2

The term 1/5 (0.20 in decimal) is closest to 0, so we will 1/5 to 0.

So, the fractions become

Therefore, the estimated sum of fractions is 1/2

To find b in the equation y = 0.023x + b, you have to replace with a given point into the equation. For example, point (0, 11.08) means x = 0 when y = 11.08, replacing into the formula:

11.08 = 0.023*0 + b

11.08 = b

Answer: Translation up 5 units means g(x)=f(x)+5g(x)=f(x)+5. Reflecting this across the x-axis means g(x)=-(f(x)+5)g(x)=−(f(x)+5).

-(4x+5)=-4x-5

−(4x+5)=−4x−5

Step-by-step explanation:

Answer:

g(x) = -|x + 12|

Step-by-step explanation:

Translation to left ≡ f(x + 12)

f(x + 12) = | x + 12 |

Reflection of a function f(x) about the x - axis is keeping the x value same but negating the y values

Reflected f'(x) = -y = -f(x)

Taken together

g(x) = -(|x + 12|)

The equation is  4x+10 = 2x+20 and value of x is 5.

What is equation?

 Equation, a statement of equality between two expressions made up of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find systematic answers to those questions. Equations range in complexity from simple algebraic equations (involving only addition or multiplication) to differential equations, exponential equations (involving exponential expressions), and  integral equations.

Here Berto's age is x years. then

Rico's age = 4 times of Berto's age

=> Rico's age = 4x.

In 10 years then Berto's age = x+10, then ,

Rico's age +10 = 2(x+10)

now put Rico's age = 4x then,

=> 4x+10 = 2x+20

=>4x-2x=20-10

=>2x=10

=> x= 5

Hence the equation is  4x+10 = 2x+20 and value of x is 5.

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The cost written as a function of time of operation is C(t) = 4500000t - 245,000

Given N(V) = 900t- 58 and C(N) = 45,000 + 5000N

To find cost C as a function of the time of the operation of the factory, we will substitute the values of N(V) into C(N). Thus:

Since N(V) = 900t- 58, we have:

C(t) = 45,000 + 5000(900t- 58)

= 45,000 + 4500000t - 290,000

= 4500000t - 245,000

Therefore, the cost as a function of the time of operation is C(t) = 4500000t - 245,000

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Here are the completed tables:

Coffee (ounces)     4        8          12       16

Cream (ounces)     3/8    3/32     1 1/8     1 1/2

Yards            4     8.7    13.6      25

Seconds       6.4   10      15.6      40

Ratio is a concept that is used in mathematics to compare two or more numbers together. It shows the relationship between two or more numbers. Increase in the value of numbers that ratios to each other increase at a proportional rate.

The first step is to determine the amount of cream that is needed for 1 coffee = 3/8 ÷ 4

= 3/8 x 1/4 = 3/32

Amount of cream needed for 8 coffees = 3/32 x 8 = 3/4

Amount of cream needed for 16 coffees = 3/32 x 16 = 1 1/2

Now determine how much coffee is needed for 1 ounces of cream

4 ÷ 3/8

= 4 x 8/3 = 10 2/3

Amount of coffee needed for 1 1/8 ounces of cream = 10 2/3 x 1 1/8

32 / 3 x 9/8 = 12

Determine how many seconds is in 1 yard : 6.4 / 4 = 1.6

Seconds in 25 yards = 1.6 x 25 = 40

Determine how many yard is in 1 second : 4 / 4.6

Yards in 10 seconds = 4/4.6 x 10 = 8.7

Yards in 15.6 seconds = 4 / 4.6 x 15.6 = 13.6

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The exponential decay function can be written as :

where P = initial amount

r = rate of decay (decreasing value)

t = time in years

From the problem, we have :

P = $32,000

r = 16.5% or 0.165

The function will be :

Using desmos, the graph of the function will be :

Then use the graph to predict when the value will fall to $3000

That will be :

in about 13 years, the value will fall to $3000

ANSWER :

The function is :

The value will fall to $3000 in about 13 years.

ANSWER

EXPLANATION

The length of the midsegment of a trapezoid is equal to half the sum of the lengths of the two bases of the trapezoid.

This implies that:

Therefore, the length of LM is:

That is the answer.

the third part can be expressed as x / 3 of pumpkins with a value of 5,400

To solve the given equation for y, first, we add like terms:

Subtracting 34 from the equation, we get:

Finally, dividing by 9, we get:

Explanation

In the graph we can see different speeds Carlos used on his way to school, subdivided into different segments.

The segment on the graph that depicts Carlos's speed decreasing the most rapidly is given by the segment with the steepest look. By steepest look, this implies that the segment rises of falls sharply, in a form that is almost perpendicular.

Therefore, the right segment will be

Answer: Segment E

I would respond with a vehement disagreement because using the division operation, the more the divisor, the less the quotient.

A division operation is one of the four basic mathematical operations.

The division operation breaks a number or object into many parts.  The number to be divided is known as the dividend.

The dividing number or parts are called the divisor while the quotient is the result of the division operation.

For instance, when 144 is divided by 12, the result is 12.  When the same number is divided by 6, the result is 24.  From this, we can determine the division operation that yields more value.

Thus, a pizza cut into 12 pieces does not yield more than a pizza cut into (divided) 6 pieces.

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The time it will take to reach population of 129 is 20 weeks

What is Arithmetic progression?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Arithmetic progression with the first term of 9.

The common difference is:

51-9/7 = 42/7 = 6.

6 beetles are added each week.

The general formula after n weeks is

      Pn = 9 + 6n.

It will reach  129 when

     Pn = 129,

        129 = 9 + 6n

        129 - 9 = 6n

            120  = 6n

              n = 120/6

              n = 20

Hence, It will take 20weeks to reach beetle population 129​

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The rapper multiplies the first ingredient, ⅔ of a cup of sugar, by ½ because as he wants to get the cups of sugar required for five people instead of ten, he can use the inverse of division, which is multiplication.

Multiplication is one of the mathematical operations.

Multiplication uses the multiplicand and multiplier to compute the product, which is also described as the result of the multiplication operation.

The quantity of sugar required for 10 = ⅔

The quantity of sugar required for 5 = ⅔ ÷ 2

⅔ ÷ 2 = ⅔ x ½

= ¹/₃

Thus, by multiplying ⅔ by ½, the rapper gets the cups of sugar required for 5 people instead of 10 as ¹/₃ cups through the division inverse.

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The parent function f(x) has a horizontal asymptote located at:

Since g(x) has the horizontal asymptote located at:

We can conclude that g(x) is the result of translate f(x) 3 units up, therefore:

Answer:

k = 3

Answer:

8x+35≤ 14<3x
x=0

Answer:

Índice de rotación de personal= (A+D)/PE

Siendo A, el número de personas contratadas durante el período considerado. D, las personas desvinculadas durante el mismo período. PE, es el » promedio efectivo» del período considerado

Step-by-step explanation:

hope it helps have a nice day

We will need a weight of 30.1 pounds of alloy having 43% aluminium and 12.9 pounds of alloy with 63% aluminium to make a 43 pounds of alloy containing 49% aluminium.

Let The weight(in pounds ) of first alloy be x.

So, The weight(in pounds ) of second alloy will be 43-x.

Now, we can generate the typical mixture in a linear equation as

0.43(x) + 0.63 (43-x) = 0.49(43)

0.43(x) + 0.63 (43) - 0.63(x) = 0.49(43)

0.63(43) - 0.49 (43) = 0.63(x)-0.43(x)

0.43(63-49)= (0.63-0.43)x

0.43(14)=0.2x

x = 30.1 pounds

So, We can say that we will need a weight of 30.1 pounds of the alloy with 43% aluminium and 12.9 pounds of alloy with 63% aluminium.

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Answer: A. 22 tons B. $5775

Step-by-step explanation:

Substitute the values in for C.

Let's start with part a

7350 =  3500+175n

-3500   -3500- Subtract 3500 from both sides to isolate the 175n

----------------------------------------

3,850=175n

divide 175n from both sides to simplify it using the division property of equality

And you get 22=n!

So since n is each ton of sugar transporting, it's 22 tons being transported

FOR PART B

Substitute 13 tons for n since they're asking how many tons

Multiply 175 and 13 to get 2275

Add 2,275 and 3,500 to get 5775

Since they're asking for the amount in dollars, just say $5775

Hope I helped!! Have a wonderful day :))

Cost of hair = $50 - discount

discount = 15% of $50

Therefore,

Cost of haircut = $50 - $7.5

= $42.5

Equation of a circle in standard form:

(h,k) is the center of the circle

r is the radius

For the given circle:

Use the center and the given point to find the radius: the radius is the distance from the center to any point in the circumference.

Distance between two points:

Use the center (0,0) (the origin) and the rafius to write the equation of the circle:

Answer:

The triangles are similar.

Explanation:

Given the triangles in the attached image;

we want to confirm if they are similar.

Let us compare the ratio of corresponding sides of the triangles.

For them to be similar the ratio of the corresponding sides of the triangles must be equal.

substituting the values in the figure;

The ratio of the corresponding sides are equal.

Therefore, the triangles are similar.

SOLUTION:

Step 1:

In this question, we are given the following:

Describe all numbers x that are at a distance of 4 from the number 7.

Express this using absolute value notation.

Step 2:

The details of the solution are as follows:

Given:

Number x at a distance of 4 from the number 7.

Calculation:

The given statement is the numbers x are at a distance of 4 from the

number 7;

The number x at a distance of 4 is:

x at a distance of 4 from the number 7;

CONCLUSION:

Thus, the absolue value equation is:

To solve for the angles in a parallel line:

For a pair of parallel lines:

Corresponding Angles are equal m<1 = m<5 = 143°

Alternate Interior Angles are equal m<4 = m<6

Alternate Exterior Angles are equal m<2 = m<8

Consecutive Interior Angles add up to 180° m<3 + m<6 = 180

... then the lines are Parallel

Therefore the consecutive interior angles add up to 180

Therefore the consecutive interior angles add up to 180

Hence the corresponding angle for m<3 = 143° and m<2 = 37°

Given:

To find

Since the vertically opposite angles are equal.

So,

Then, the corresponding angles are equal.

Therefore,

Thus, the measure of angle 5 is 70 degrees.