Answer:
x = 16.6 cm
Explanation:
By the intersecting secant theorem, we can write the following equation:
[tex]5(5+x)=6(6+12)_{}[/tex]
So, solving for x, we get:
[tex]\begin{gathered} 5(5+x)=6(18)_{} \\ 5(5+x)=108 \\ \frac{5(5+x)}{5}=\frac{108}{5} \\ 5+x=21.6 \\ 5+x-5=21.6-5 \\ x=16.6 \end{gathered}[/tex]
Therefore, the value of x is 16.6 cm
