Question

PLEASE HELP!!!
Find the measure of WV¯¯¯¯¯¯¯¯¯. A. 8 B. 6 C. 7 D. 4

Answer 1

`\Huge \boxed{\mathrm{B. \ 6}}`

Explanation:

We can apply the Intersecting Secant-Tangent Theorem.

TV is the secant.

VW is the tangent.

VW² = VT × VU

(x+6)² = (5+x+4) × (x+4)

Combine the terms in bracket.

(x+6)² = (x+9)(x+4)

Expand brackets on both sides of the equation.

x²+12x+36=x²+13x+36

Subtract x² from both sides.

12x+36=13x+36

Subtract 12x from both sides.

36=x+36

Subtract 36 from both sides.

0=x

WV = x+6

x=0

WV = 0+6 = 6

The measure of the tangent WV is 6.