Question

Find x.Do not round your answer.12 cm6 cm5 cmXX =[.? ] cmEnter

Answer 1

x = 16.6 cm

Step-by-step explanation:

By the intersecting secant theorem, we can write the following equation:

`5(5+x)=6(6+12)_{}`

So, solving for x, we get:

`\begin{gathered} 5(5+x)=6(18)_{} \\ 5(5+x)=108 \\ (5(5+x))/(5)=(108)/(5) \\ 5+x=21.6 \\ 5+x-5=21.6-5 \\ x=16.6 \end{gathered}`

Therefore, the value of x is 16.6 cm