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What is the value of x?

What is the value of x?-example-1
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User Mariel
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The triangle ADC and the triangle CDB are similar. Therefore:

(x)/(6)=(6)/(8)\ \ \ \ |cross\ multiply\\\\8x=6\cdot6\\\\8x=36\ \ \ |:8\\\\x=4.5
Answer: A 4.5

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User Rella
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