298,241 views
7 votes
7 votes
Find the measure of TU
A. 8
B. 12
C. 14
D. 11

Find the measure of TU A. 8 B. 12 C. 14 D. 11-example-1
User Begray
by
2.7k points

2 Answers

16 votes
16 votes

Answer:

11

Explanation:

User Taher Fattahi
by
3.6k points
14 votes
14 votes

Answer:

D. 11

Explanation:

First apply the secant-secant theorem to find the value of x.

Thus,

VU(TU + VU) = VW(BW + VW) (secant-secant theorem)

Substitute

(7)(x + 4 + 7) = (9)(-2 + x + 9)

7(x + 11) = 9(7 + x)

7x + 77 = 63 + 9x

Collect like terms

7x - 9x = 63 - 77

-2x = -14

Divide both sides by -2

x = 7

✔️Find TU

TU = x + 4

Substitute get value of x

TU = 7 + 4 = 11

User Remco Beugels
by
3.7k points