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I tried doing the method my teacher taught me but i keep getting it wrong

I tried doing the method my teacher taught me but i keep getting it wrong-example-1

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ANSWER

x = 12

Step-by-step explanation

By the intersecting chords theorem, the product of each segment of one chord equals to the product of each segment of the other chord:


15\cdot8=10x

Solving for x:


\begin{gathered} 120=10x \\ x=(120)/(10) \\ x=12 \end{gathered}

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