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What is the value of x? Enter your answer in the box. X =

What is the value of x? Enter your answer in the box. X =-example-1

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4 votes

Answer:


\boxed{10}

Explanation:

The angle bisector divides the segments so those on one side of it are proportional to those on the other side of it.

(x+4)/8 = (2x+1)/12

12(x +4) = 8(2x +1) . . . . . multiply by 96

12x + 48 = 16x + 8 . . . . . eliminate parentheses

40 = 4x . . . . . . . . . . . . . . add -12x-8

10 = x . . . . . . . . . . . . . . . . divide by 4

User Jeff Cousins
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