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Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Round your answer to the nearest tenth if necessary.

Quadrilateral JKLM is similar to quadrilateral NOPQ Find the measure of side PQ Round your answer to the nearest tenth if necessary class=

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sqdancefan

Answer:

  57.8

Step-by-step explanation:

You have quadrilateral JKLM similar to quadrilateral NOPQ with given sides JK = 9, LM = 13.7, NO = 38, and you want the measure of PQ.

Proportion

Corresponding sides in similar figures are proportional in length:

  PQ/LM = NO/JK

  PQ/13.7 = 38/9

  PQ = 13.7(38/9) = 2603/45 ≈ 57.8

The measure of PQ is approximately 57.8 units.

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