9514 1404 393
Answer:
x = 9
Explanation:
The midline is half the length of the base, so we have ...
2×DE = AB
2(4x +1) = 11x -25
8x +2 = 11x -25 . . . . eliminate parentheses
27 = 3x . . . . . . . . . . .add 25 -8x
9 = x . . . . . . . . . . . . . divide by 3
The value of x is 9.
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Check
DE = 4x +1 = 4(9) +1 = 37
AB = 11x -25 = 11(9) -25 = 74 . . . twice 37 as it should be