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Math Asked by a SnapAndSolve user · about 20 hours ago

Quadrilateral FGHI is similar to quadrilateral JKLM. Find MJ. Round your answer to the nearest tenth if...

Quadrilateral FGHI is similar to quadrilateral JKLM. Find MJ. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answer

Since quadrilateral FGHI is similar to quadrilateral JKLM, the corresponding sides are proportional. Given FG = 31, HI = 17, and LM = 58, we can set up the proportion:

  1. FG/JK = HI/LM
  2. 31/x = 17/58

Cross-multiply to solve for x:

  1. 31 * 58 = 17 * x
  2. 1798 = 17x
  3. x = 1798 / 17
  4. x ≈ 105.8

Therefore, MJ ≈ 105.8.

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