Chapter 9.7, Problem 4CE

To determine

To find: find the value of x from the figure

Answer to Problem 4CE

The value of x is 4

Explanation of Solution

Given information: we have given the figure of circle

  

Here, we can see length in the figure

Total length of both secant is 12 and 6+x

Using chord intersecting theorem

  $\begin{array}{c}\left(6+x\right)\times 6=12\times 5\\ \left(6+x\right)=\frac{60}{6}\\ x=10-6\\ x=4\end{array}$

Therefore, the value of x in the figure is 4