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SIZIF [17.4K]
3 years ago
8

How do I solve this?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer: x = 15; y = 32; z = 2.5

see in the picture, u can see that this parallelogram has a right angle and two adjacent equal edges.

=> this parallelogram is a square

=> the diagonal lines of the parallelogram   are perpendicular to each other

=> m∠1 = 90°

⇔ 3y - 6 = 90

⇔ 3y = 96

⇔ y = 32

because this is a square

=> 3x = 18z = 45°

=> x = 15

    z = 2.5

Step-by-step explanation:

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19
LuckyWell [14K]

The function with the greatest average rate of change is the function k(x)

<h3>How to determine the function?</h3>

The average rate of change is calculated as

m = \frac{y_2 - y_1}{x_2 -x_1}

The interval is [0,2].

So, we have

m = \frac{y_2 - y_1}{2 -0}

m = \frac{y_2 - y_1}{2}

For function j(x), we have

j(2) = 3 * 1.6^2 = 7.68

j(2) = 3 * 1.6^0 = 3

So, we have

m_j = \frac{7.68 - 3}{2}

m_j = 2.34

For function g(x), we have

g(2) = 25/2

g(0) = 8

So, we have

m_g = \frac{25/2 - 8}{2}

m_g = 2.25

For function k(x), we have

k(2) = 9

k(0) = 4

So, we have

m_k = \frac{9 - 4}{2}

m_k = 2.5

For function f(x), we have

f(2) = 1.5 * 2^2 = 6

f(0) = 1.5

So, we have

m_f = \frac{6 - 1.5}{2}

m_f = 2.25

The function with the greatest average rate of change is the function k(x) with a rate of 2.5

Read more about average rate of change at:

brainly.com/question/23715190

#SPJ1

8 0
2 years ago
Amber made 6/8 of her free-throws in the last basketball game. What percent of free-throws did Amber make?
likoan [24]
If you divide 6 by 8= 0.75, which is equivalent to 75%. So Amber made 75% of her free throws. 
8 0
4 years ago
Read 2 more answers
The length of a rectangle is 14 centimeters and the width is 5 centimeters.
sladkih [1.3K]

Answer:

7

Step-by-step explanation:

One side is half of the other (5/2.5=2)

So 14/2=7

3 0
4 years ago
A farmer ships pears in crates that weigh 4.5 lb each when empty. Each pear weighs 0.25 lb. The total weight of a crate filled w
Ipatiy [6.2K]

Answer:

  one-quarter times the number of pears, plus four and one-half is forty-four and one-half

Step-by-step explanation:

The total weight (44.5 lb) will be the sum of the empty weight (4.5 lb) and the number of pears multiplied by the pear's weight. That can be expressed as ...

  one-quarter times the number of pears, plus four and one-half is forty-four and one-half

4 0
2 years ago
What is the greatest common factor 24s3 12s4 and 18s
Dimas [21]
The greatest common factor is 6s
6 0
3 years ago
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