Question

If R is the midpoint of QS , find QS (QR = 5x-3 and RS =21-x)

Answer 1

Answer:

QS is 34

Step-by-step explanation:

We find x first. We set each side equal to each other to do so.

5x-3=21-x

6x=24

x=4

Next we find QS value. We add each side.

5x-3+21-x

4x+18

Then we plug in x to find numeric value.

4(4)+18

34

Answer 2

Answer:

QS is 34

Step-by-step explanation:

R is the midpoint of QS

So, QR= RS

(QR = 5x-3 and RS =21-x)

QR= RS

Plug in QR  and RS

$5x-3=21-x$

Add x on both sides

$6x-3= 21$

Add 3 on both sides

$6x= 24$

Divide by 6 on both sides

$x= 4$

$QS= QR+RS$

$QS=5x-3+21-x$

$QS=4x+18$

Plug in 4 for x

$QS=4(4)+18=34$