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  • 21-10-2021
  • Mathematics
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If R is the midpoint of QS, QR = 6x – 51 and RS = 2x – 7, find QS.

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s1m1
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  • 21-10-2021

Answer:

QS = 30

Step-by-step explanation:

Since R is the mid point QR = RS

Given QR = 6x – 51 and RS = 2x – 7 then

6x – 51 =  2x – 7, isolate like terms

  6x -2x = 51 -7 , combine like terms

        4x = 44, divide both sides by 4

         x = 11

QS = QR + RS

QS = 6x -51 +2x -7 , combine like terms

QS = 8x - 58, substitute x= 11 in the equation

QS = 8*11 -58, multiply 8 and 11

QS = 88 -58

QS = 30

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