Figure ABCD is a trapezoid. Find the value of x.

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