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

PLEASE HELP!! Find the length of UT¯¯¯¯¯¯¯+CV¯¯¯¯¯¯¯¯. A. 53 B. 4x + 35 C. 65 D. 59-example-1
User Roadmaster
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1 Answer

2 votes

Answer:

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

User Reo Katoa
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