Question

I need to find the value of x. I also need to show my work so if anyone answers this I need to know what the work is. Thank you!

Answer 1

x = 8

Explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the secants external part and the whole secant, that is

x² = 4(4 + 12) = 4 × 16 = 64 ( take the square root of both sides )

x =
`√(64)` = 8