Question

Hi need help solving for x it says assume that which appear tangent are tangent

Answer 1

ANSWER

$C)\text{ }13$

EXPLANATION

To find the value of x, we have to apply the intersecting secant theorem which states that if two secants are drawn to a circle from an external point, then:

This implies that:

$7*(7+17)=8*(8+x)$

Solve for x by simplifying and collecting like terms:

$\begin{gathered} 7*24=64+8x \\ \\ 168=64+8x \\ \\ 8x=168-64=104 \\ \\ x=\frac{104}{8} \\ \\ x=13 \end{gathered}$

The correct answer is option C.