Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = [tex]\frac{1}{2}(b_1+b_2)[/tex]
3). MN = [tex]\frac{1}{2}(18+10)[/tex]
= 14
4). MN = [tex]\frac{1}{2}(57+76)[/tex]
= 66.5
5). MN = [tex]\frac{1}{2}(AB+DC)[/tex]
7 = [tex]\frac{1}{2}(AB+10)[/tex]
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = [tex]\frac{1}{2}[(3x+2)+(2x-2)][/tex]
30 = 5x
x = 6
