Question

What’s the value of x?

Answer 1

x=12

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`