Question

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

Answer 1

Answer:

438 units

Step-by-step explanation:

Given :R is the midpoint of QS , $QR = 8x - 51$ and $RS = 3x-6$

To Find : What is QS?

Solution:

Since R is the Mid Point of QAS

So, QR = RS

$8x - 51=3x-6$

$8x - 3x=51-6$

$5x=45$

$x=9$

QS = QR+RS

$QS= 8x-51+3x-6$

$QS= 11x-57$

x = 45

$QS= 11(45)-57$

$QS= 438$

Hence the length of QS is 438 units .

Answer 2

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 <==