Question

Solve for x. Assume that lines which appear tangent are tangent. Help!!!

Answer 1

Answer:

x = 0

Step-by-step explanation:

From the intersecting secants theorem, If from an exterior point, we draw two secant segments to a circle, then the product of the length of one secant segment and its external secant part will be equal to the product of the length of the other secant segment and its external secant portion.

Thus, applying it to this question;

(x + 27 + 48) × (x + 27) = (x + 45)²

(x + 75)(x + 27) = x² + 90x + 2025

x² + 102x + 2025 = x² + 90x + 2025

Like terms will cancel put to give;

102x - 90x = 0

12x = 0

x = 0/12

x = 0