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

Mathematics

1 answer:

Art [367]3 years ago

8 0

Statement:

R is the midpoint of QS.

To find out:

The measure of QS.

Solution:

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

Answer:

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

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