9514 1404 393
Answer:
Step-by-step explanation:
The midline is half the length of the parallel base.
2(2x +36) = 3x +57
4x +72 = 3x +57 . . . . . . eliminate parentheses
x = -15 . . . . . . . . . . subtract 72+3x from both sides
Then the length of GH is ...
GH = 2x +36 = 2(-15) +36 = -30 +36
GH = 6
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The calculation steps are shown above. The strategy is to take advantage of the relation between the lengths of a midline and the corresponding base segment.
