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Find the value of the variable and XP, if X is between P and Q. XQ= 13, XP= 5x - 3, PQ= 40

1 Answer

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Answer:

  • x = 6
  • XP = 27

Explanation:

PX + XQ = PQ

5x -3 + 13 = 40

5x = 30 . . . . . . . . subtract 10

x = 6 . . . . . . . . . . divide by 5

You can find XP either from its algebraic expression or from its sum with XQ.

XP + XQ = PQ

XP + 13 = 40 . . . fill in given values

XP = 27 . . . . . . . subtract 13

Also

XP = 5x -3 = 5(6) -3

XP = 27

User Nathan Tregillus
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