billiondollarnico billiondollarnico
  • 15-09-2021
  • Mathematics
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if Q is the midpoint of PR, find x when PR=2x and PQ=2x-12.

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milenadualenroll
milenadualenroll milenadualenroll
  • 15-09-2021

Answer: x=12

Step-by-step explanation:

You start with: [tex]2x\neq 2x-12[/tex]

The segment PQ is half of PR, so to make both sides equal the PQ side must be doubled.

[tex]2x=4x-24[/tex]

Then all x-values should be put on one side of the equation.

[tex]2x-4x=-24[/tex]

Combine like terms.

[tex]-2x=-24[/tex]

Then simplify.[tex]x=12[/tex]

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