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Answer 1 · 2018-02-16T06:05:02

$x = 27$ $x=27$

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An angle bisector of a triangle divides the opposing side to a ratio equal to the ratio of the corresponding sides:

$\frac{18}{24} = \frac{x}{36}$ $18/24=x/36$

Simplifying, we get:

$\frac{3}{4} = \frac{x}{36}$ $3/4=x/36$

Cross-multiplying, we get:

$4 x = 108$ $4x=108$

Dividing both sides by $4$ $4$ , we get:

$x = \frac{108}{4} = 27$ $x=108/4=27$