Answer:
x = 5
Explanation:
Note: I'm assuming this shape is a trapezoid, so I'm basing a theorem of that fact. Tell me if it's not a trapezoid.
1. Identify the theorem:
There is a theorem you can use for this problem that states that the length of the meadian of a trapezoid is equal to the average of the lengths of the bases of the trapezoid.
So what I mean is:
(Base 1 Length + Base 2 Length)/2 = length of the median of a trapezoid
2. Identify:
Base 1: FC = 6x-6
Base 2: AD = 38
Median: EB = 7x-4
3. Substitute:
(Base 1 Length + Base 2 Length)/2 = length of the median of a trapezoid
(FC + AD)/2 = EB
(6x-6 + 38)/2 = 7x-4
4. Solve for x:
x = 5