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3. Given PQ = 7x - 3 and QR = 32 – 2x and PR = 59. What is the value of x? What is the value of PQ? What is the value of QR? Be sure to show your work and all three answers.

User Rock
by
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2 Answers

3 votes

Answer:

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Kasi ma iiscam po kayo

User Xavier Noria
by
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1 vote

Answer:

  • See below

Explanation:

We assume Q is between P and R.

According to segment addition postulate we have:

  • PQ + QR = PR

Substitute values and solve for x:

  • 7x - 3 + 32 -2x = 59
  • 5x + 29 = 59
  • 5x = 30
  • x = 6

Find PQ:

  • PQ = 7*6 - 3 = 42 - 3 = 39 units

Find QR:

  • QR = 32 - 2*6 = 32 - 12 = 20 units

User ProDec
by
3.7k points