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In the circle below, if arc AB is congruent to arc CD, chord AB = 3x - 6 and chord CD = x + 12, find x.
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In the circle below, if arc AB is congruent to arc CD, chord AB = 3x - 6 and chord CD = x + 12, find x.

In the circle below, if arc AB is congruent to arc CD, chord AB = 3x - 6 and chord-example-1
User Hackaholic
by
6.2k points

1 Answer

3 votes

Solution

We will equate the two values


\begin{gathered} 3x-6=x+12 \\ \\ 3x-x=12+6 \\ \\ 2x=18 \\ \\ x=9 \end{gathered}

The answer is

In the circle below, if arc AB is congruent to arc CD, chord AB = 3x - 6 and chord-example-1
User Giacomo Lacava
by
7.0k points
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