Question

PLEASE HELP!! Find the length of UT¯¯¯¯¯¯¯+CV¯¯¯¯¯¯¯¯. A. 53 B. 4x + 35 C. 65 D. 59

Answer 1

C. 65

Explanation:

By the property of intersecting chords inside a circle.

`TW* WU = CW* WV`

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

`28x + 28= 24x + 60`

`28x - 24x =60-28`

`4x =32`

`x =(32)/(4)`

`x =8`

UT = 14+ 2x + 2

CV = 12+2x+5

UT + CV = 14 + 2x + 2 + 12 + 2x + 5

UT + CV = 4x + 33

UT + CV = 4*8+ 33 = 32 + 33 = 65

UT + CV = 65