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Tasya [4]
3 years ago
13

10. If R is the midpoint of QS, find QS.

Mathematics
1 answer:
Art [367]3 years ago
8 0

<u>Statement</u><u>:</u>

R is the midpoint of QS.

<u>To </u><u>find </u><u>out:</u>

The measure of QS.

<u>Solution</u><u>:</u>

  • QR + RS = QS
  • Since R is the midpoint of QS, then QR = RS.
  • QR = 2x + 16, RS = 5x - 17.
  • Therefore, 2x + 16 = 5x - 17
  • or, 2x - 5x = -17 - 16
  • or, -3x = -33
  • or, x = -33 ÷ -3
  • or, x = 11
  • Therefore, QR = 2(11) + 16
  • = 22 + 16 = 38
  • So, QS = 2QR
  • = 2 × 38
  • = 76

<u>Answer</u><u>:</u>

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

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