Question

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

Answer 1

QS = 34

Explanation:

if R is the midpoint, then the two divided segments are equal to each other.

5x - 3 = 21 - x

Add x

6x - 3 = 21

Add 3.

6x = 24

Divide 6.

x = 4

Substitute this x value into any equation.

5(4) - 3 = 20 - 3 = 17

So half of QS is 17.

QS = 17 * 2 = 34