Question

40. Find UW.
T
6
5
U +-
The measure of UW is
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Answer 1

9

Explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0 or x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9