sqdancefan

Answer:

15.

  x = 40/9 = 4 4/9

  z = 24/5 = 4 4/5

17.

  x = 50

  y ≈ 11.5

Step-by-step 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

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  right side bottom / right side top = z / 6

  z = 6(4/5) = 24/5

  z = 4 4/5

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17. The acute angles are complementary:

  x = 90 -40 = 50

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From the Pythagorean theorem:

  y = √(15² -9.6²) = √132.84

  y ≈ 11.5