AsmaaG91136 AsmaaG91136
  • 26-10-2022
  • Mathematics
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Given: RS is tangent to circle Q.9SRFind the value of x.491216

Given RS is tangent to circle Q9SRFind the value of x491216 class=

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HazelroseE299576 HazelroseE299576
  • 26-10-2022

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

[tex]x^2=9\times(7+9)[/tex]

Solve for x^2:

[tex]\begin{gathered} \Rightarrow x^2=9\times16 \\ \Rightarrow x^2=144 \\ \Rightarrow x=\sqrt[]{144} \\ \Rightarrow x=12 \end{gathered}[/tex]

Therefore, the value of x is:

[tex]12[/tex]

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