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Mathematics 13 Online
OpenStudy (anonymous):

see attachment

OpenStudy (anonymous):

OpenStudy (rulnick):

11x = 14(20-x)

OpenStudy (kinggeorge):

What you've written down appears to be correct. Since the angles are given as congruent, you know the triangles are similar. Now solve for x.

OpenStudy (rulnick):

11x = 280 - 14x

OpenStudy (rulnick):

25x = 280 ... and the answer is ...

OpenStudy (anonymous):

11.2?

OpenStudy (rulnick):

yes!

OpenStudy (anonymous):

Thank you! :)

Directrix (directrix):

The bisector of an angle of a triangle divides the opposite side of the triangle into lengths proportional to the lengths of the other two sides of the triangle. 14/11=x/(20-x) x = 56/5

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