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What is the value of x?

What is the value of x?-example-1
User Pushistic
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\triangle ABD\sim\triangle CAD\ \text{therefore the sides of triangles are in proportion}\\\\(x)/(12)=(12)/(27)\ \ \ |cross\ multiply\\\\27x=144\ \ \ |:27\\\\x=(144)/(27)\\\\x=(16)/(3)\\\\\boxed{\text{Answer:}\ B.\ (16)/(3)}

User Alcfeoh
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