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The segments in the figure below are tangent to circle C. solve for x

The segments in the figure below are tangent to circle C. solve for x-example-1
User Onlynone
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Since the two lines are tangent and they converge at the same point, the two lines are equal in length.

4x + 7 = 7x - 8 \\ 15 = 3x \\ x = 5
First, we set the equations equal to each other. Then, we add 8 to both sides and subtract 4x from both sides. Lastly, we divide both sides by 3. Therefore, x = 5.
User Jjames
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