LM¯¯¯¯¯¯¯¯¯

is the midsegment of trapezoid ABCD. If AB =50 and DC = 135, what is LM? Please show all work in order to recieve full credit for this problem

To find the length of LM, we need to find the average of the lengths of the bases of the trapezoid.

The formula for the average of the bases of a trapezoid is:

Average of bases = (Length of base AB + Length of base DC) / 2

Plugging in the given lengths:

Average of bases = (50 + 135) / 2
Average of bases = 185 / 2
Average of bases = 92.5

So, the length of LM is 92.5.