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fgiga [73]
3 years ago
7

Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc

hes, what is the area of rectangle WXYZ? Round to the nearest integer.
Mathematics
1 answer:
rodikova [14]3 years ago
8 0

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

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By using the given graph:

  • When x = -2, the value of the function is f(-2) = 1
  • When x = -0.5, the value of the function is f(-0.5) = 0.75
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  • When x = 2.5, the value of the function is f(2.5) = 3
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<h3></h3><h3>How to use the graph to find the values of the function?</h3>

Suppose that we want to find the value of the graphed function when x = a.

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  • Then we move upwards (or downwards) until we meet the curve of the function.
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Now we can do these steps for each of the wanted values.

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If you want to learn more about how to read graphs:

brainly.com/question/4025726

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