Points A, B, C, D, and E, are collinear. AB=2x+4, BC=3x-12, CD=2x+4, DE=5x-21, AE=119

Question

I NEED HELP IN GEOMERTY

Answer 1

AE = 119 is the total length of the line segment.  The sum of the smaller line segments equals AE:

 

 

A------B---------C------D---------E

 2x+4    3x-12    2x+4   5x-21

 

<--------------119----------------->

 

AB + BC + CD + DE = AE

 

(2x+4) + (3x-12) + (2x+4) + (5x-21) = 119

 

Combine like terms:

 

12x - 25 = 119

 

Solve for x.

Answer 2

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