Question

if R is the midpoint of QS , QR = 8x - 51 and RS = 3x-6 whafs is QS.

Answer 1

if R is the midpoint, then R splits QS into 2 equal sections. Therefore, QR = RS.

8x - 51 = 3x - 6
8x - 3x = -6 + 51
5x = 45
x = 45/5
x = 9

so QR = 8(9) - 51 : 72 - 51 = 21 and RS = 3(9) - 6 = 27 - 6 = 21
so QS = 21 + 21 = 42 <==

Answer 2

The value of the QS is 42.

Given that,

The QR is 8x - 51

The RS is 3x - 6

Since R is the midpoint of QS.

So,

QR = RS

8x - 51 = 3x - 6

8x - 3x = -6 + 51

5x = 45

x = 9

Now

QS = QR + RS

= 8x -51 + 3x - 6

= 8(9) - 51 + 3(9) - 6

= 72 - 51 + 27 - 6

= 42

Therefore, we can conclude that the value of the QS is 42.

Learn more about the geometry here: brainly.com/question/22432609