Segment LM is the midsegment of trapezoid ABCD. AB= 7x + 4, LM = 8x +5, and DC= 78 . What is the value x ?

Question

brooklynnfaith98 · Answer

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brooklynnfaith98 · Answer

@Will.H can you help ?

will.h · Answer

i think we been through this but now you just need to find out the lengths of the side AB, you know how to do that?

will.h · Answer

LM = 1/2 (AB + DC)
given LM=8x+5
then 8x+5 = 1/2(AB + DC)
multiply both sides by 2 to eliminate 1/2
16x +10= (AB + DC)

given AB=7x+4, DC=78
16x +10= (AB + DC) = (7x +4 +78)
Combine like items

9x = 4 + 78 -10 = 72
divide both sides by 9

ANSWER: So the value of x = 8