Question

hi I need help solving for X, it says assume that lines which appear tangent are tangent

Answer 1

ANSWER :

A. 15

EXPLANATION :

Recall the secant-secant formula :

$(\text{ whole secant})\times(\text{ external part})=(\text{whole secant})\times(\text{external part})$

That will be :

$(8+19)\times8=(x+9)\times9$

Solving for x :

$\begin{gathered} 27\times8=9x+81 \\ 216=9x+81 \\ 216-81=9x \\ 135=9x \\ 9x=135 \\ x=\frac{135}{9}=15 \end{gathered}$