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12 votes
12 votes
Given: RS is tangent to circle Q.9SRFind the value of x.491216

Given: RS is tangent to circle Q.9SRFind the value of x.491216-example-1
User Bendin
by
3.1k points

1 Answer

7 votes
7 votes

According to the tangent-secant theorem, we know that:


x^2=9*(7+9)

Solve for x^2:


\begin{gathered} \Rightarrow x^2=9*16 \\ \Rightarrow x^2=144 \\ \Rightarrow x=\sqrt[]{144} \\ \Rightarrow x=12 \end{gathered}

Therefore, the value of x is:


12

User Ashur
by
2.7k points
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