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Ilya [14]
3 years ago
15

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

Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

  • x = 6
  • XP = 27

Step-by-step 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

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