Question

find the value or measure. Assume all lines that appear to be tangent are tangent. PQ=

Answer 1

The intersection of two secants has the following relation:

$a\times b=c\times d$

Using the given information, we have.

$12\times(x+12)=18\times(16+18)$

Now, we solve for x.

$\begin{gathered} 12x+144=18\times34 \\ 12x=612-144 \\ 12x=468 \\ x=\frac{468}{12} \\ x=39 \end{gathered}$

Hence, x is equal to 39.