Question

Solve for x PLEASE HELP DUE TODAY!!!

Answer 1

x = 4

Explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Answer 2

x = 4

Explanation:

By intersecting tangent and secant theorem:

`{(x + 2)}^(2) = x(x + 5) \\ \\ {x}^(2) + 4x + 4 = {x}^(2) + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4`