Answer: x=4, AB=19, ED=57
Explanation:
Trapezoid midsegment formula:
=Midsegment
Therefore, (4x+3+18x-15)/2=38
Multiply both sides by 2 in order to get rid of the fraction. (Multiplication property of equality)
4x+3+18x-15=76
Combine like terms.
22x-12=76
Add 12 to both sides. (Addition property of equality)
22x = 88
Solve for x
x = 4
Now, substitute x in for segment AB and ED
AB = 4(4)+3
AB= 16+3
AB= 19
ED=18(4) -15
ED=72-15
ED=57
Check your work:
(ED+AB)/2 = 38
(57+19)/2 = 38
76/2 = 38
38 = 38