Question

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

Answer 1

`C)\text{ }13`

Step-by-step 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=(104)/(8) \\ \\ x=13 \end{gathered}`

The correct answer is option C.