Question

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

Answer 1

A. 15

EXPLANATION :

Recall the secant-secant formula :

`(\text{ whole secant})*(\text{ external part})=(\text{whole secant})*(\text{external part})`

That will be :

`(8+19)*8=(x+9)*9`

Solving for x :

`\begin{gathered} 27*8=9x+81 \\ 216=9x+81 \\ 216-81=9x \\ 135=9x \\ 9x=135 \\ x=(135)/(9)=15 \end{gathered}`