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Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side PM. Round your answer to the nearest tenth if necessary.

Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side PM. Round-example-1
User Adobriyan
by
2.9k points

2 Answers

12 votes
12 votes

Answer: 76.2

Explanation:

54/17=3.176

3.176=the scale factor

3.176(24)=76.224

Rounded=76.2

User Suho
by
2.8k points
15 votes
15 votes

Answer:

  • PM = 76.2 units

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If two figures are similar then their corresponding sides have same ratio.

Find ratios:

  • PM / LI = ON / KJ

Substitute and find the value of PM:

  • PM / 24 = 54 / 17
  • PM = 24*54/17
  • PM = 76.2 (rounded)
User Hbirjand
by
2.8k points