Avareaidn
Answered

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Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  • x = -15
  • GH = 6

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.

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