Question

S...

Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39

Answer 1

9514 1404 393

Answer:

A. 32

Explanation:

The relationship between segment lengths is ...

WT·WU = WC·WV

14(2x +2) = 12(2x +5)

28x +28 = 24x +60

4x = 32

2x = 16

Then the measure we're after is ...

UT = WT +WU = 14 +(16 +2)

UT = 32