Question

Find the measure of FG¯¯¯¯¯¯¯¯.secant-tangent 35A. 8B. 9C. 11D. 10

Answer 1

Given

To find the measure of FG.

Step-by-step explanation:

It is given that,

That implies,

`\begin{gathered} [(x-2)+15]\cdot(x-2)=[(x-3)+19]\cdot(x-3) \\ (x+13)(x-2)=(x+16)(x-3) \\ x^2+13x-2x-26=x^2+16x-3x-48 \\ -2x-26=-48 \\ 2x=48-26 \\ 2x=22 \\ x=(22)/(2) \\ x=11 \end{gathered}`

Hence, the value of x is 11.

And, the measure of FG is, x-3 = 11-3 = 8.