Question

Line LM is the mid-segment of trapezoid ABCD. AB=x+8, LM=4x+3, and DC=187. WHat is the value of x?

Answer 1

Length of the midsegment of a trapezoid is the average length of the bases,
i.e. LM = (AB+DC)/2
Substituting the values given, we get
4x+3 = ((x+8)+187))/2
Multiplying both sides by 2 ...

> 2*(4x+3) = ((x+8)+187))
> 8x+6 = x+195
> 8x-x = 195-6
> 7x = 189
> x = 27 ( Dividing both sides by 7)