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Falling_In_Katt
 one year ago
WILL MEDAL
Given Angle 1 = Angle 2,
Find X
Falling_In_Katt
 one year ago
WILL MEDAL Given Angle 1 = Angle 2, Find X

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5Do you know the triangle angle bisector theorem?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5The bisector of an angle pf a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the adjacent sides.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5dw:1435254823038:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5In the triangle of the above figure, if angles 1 and 2 are congruent, then a/b = c/d

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5In your case you have \( \dfrac{3}{x  4} = \dfrac{x}{4} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5Now solve the proportion for x.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.5@Falling_In_Katt You solved the proportion correctly. The solutions to the equation are 6 and 2. In this problem, x represents a length. A length can't be negative, so discard the negative solution, 2, and keep only the positive solution 6.
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