Question

What’s the value of x?

Answer 1

Answer:

x=12

Step-by-step explanation:

What we have here is a secant and tangent. Using this theorem,

Given the segments of a secant segment and a tangent segment which share an endpoint outside of a circle,

The product lengths of the secant segment and external secant segment equals the length of the tangent segment squared.

In other words,

$9(7 + 9) = {x}^{2}$

$9(16) = {x}^{2}$

$144 = {x}^{2}$

$x = 12$