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Find the missing values in the following figures​

Find the missing values in the following figures​-example-1
User Cytown
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4 votes

Answer:

15.

x = 40/9 = 4 4/9

z = 24/5 = 4 4/5

17.

x = 50

y ≈ 11.5

Explanation:

15. Corresponding segments are proportional:

top right side / whole right side = x / 8

5/(5+4) = x/8

x = 8(5/9) = 40/9

x = 4 4/9

__

right side bottom / right side top = z / 6

z = 6(4/5) = 24/5

z = 4 4/5

____

17. The acute angles are complementary:

x = 90 -40 = 50

__

From the Pythagorean theorem:

y = √(15² -9.6²) = √132.84

y ≈ 11.5