Question

Solve for X. Assume that lines which appear tangent are tangent

Answer 1

Answer:

E

Step-by-step explanation:

(x+8)×8=12²=144

x+8=144/8=18

x=18-8=10

Answer 2

The value of x is 10.

Tangent-secant Theorem

When a tangent and secant share a common endpoint outside the circle the product of the secant and the external part of the secant is equal to the square of the tangent.

Given to us

internal part of the secant = (x+8),

external part of the secant = 8,

tangent = 12,

According  to Tangent-secant Theorem

$(x+8)\times 8 = 12^2\\8x+64 = 144\\8x = 144-64\\8x = 80\\x = \dfrac{80}{8}\\x=10$

Hence, the value of x is 10.

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