Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale. AB = 12, BC = 9, and CD = 8

Hulke asked Oct 22, 2023

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15 votes

Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

AB = 12, BC = 9, and CD = 8

Hulke asked Oct 22, 2023

by Hulke

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5 votes

Explanation:

By the secant-secant theorem, (AC)(BC)=(DC)(x+DC)

Substituting in the given values, (21)(9)=(8)(8+x)

So, 189=64+8x, meaning x = 15.625, or about 15.63.

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