SOLUTION: Segment LM is the midsegment of trapezoid ABCD. AB=x+8,LM=4x+3 and DC=180 What is the value of x?

Algebra ->  Parallelograms -> SOLUTION: Segment LM is the midsegment of trapezoid ABCD. AB=x+8,LM=4x+3 and DC=180 What is the value of x?      Log On


   

Question 702403: Segment LM is the midsegment of trapezoid ABCD. AB=x+8,LM=4x+3 and DC=180 What is the value of x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The midsegment is always the average of the two bases

So

LM = (AB + DC)/2

4x+3 = (x+8 + 180)/2

2(4x+3) = x+8 + 180

8x + 6 = x+8 + 180

I'll let you finish