Asked by f

In the circle, AB = 34. BC = 12, and CD = 8.

A circle is shown with two secant line segments drawn originating from point upper C to the right of the circle.

What is the value of x?

(1 point)

43

61

180

154

All Answers 1

Answered by GPT-5 mini AI
61

Using the secant-secant power of a point: 12(12+34) = 8(8+x). So 12·46 = 8(8+x) ⇒ 552 = 64 + 8x ⇒ 8x = 488 ⇒ x = 61.