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If RS equals 59 and ST equals 10x - 31 find x

If RS equals 59 and ST equals 10x - 31 find x-example-1

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The chord RS and chord ST subtends equal angles the center. So length of chord ST is equal to length of chord RS.

Determine the value of x.


\begin{gathered} RS=ST \\ 59=10x-31 \\ 10x=59+31 \\ x=(90)/(10) \\ =9 \end{gathered}

So value of x is 9.

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User BrendanMcK
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