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* b=c* d`

Using the given information, we have.

`12*(x+12)=18*(16+18)`

Now, we solve for x.

`\begin{gathered} 12x+144=18*34 \\ 12x=612-144 \\ 12x=468 \\ x=(468)/(12) \\ x=39 \end{gathered}`

Hence, x is equal to 39.