Figure ABCD is a trapezoid. Find
the value of x.
3x+3
B
13
4x+2
A
D
X = ?

Answer:
x = 3
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
[tex]\frac{1}{2}[/tex] (3x + 3 + 4x + 2) = 13
[tex]\frac{1}{2}[/tex] (7x + 5) = 13 ( multiply both sides by 2 )
7x + 5 = 26 ( subtract 5 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3