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boyakko
2 months ago
5

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

Mathematics
2 answers:
zzz [12.3K]2 months ago
3 0

Answer:

QS measures 34.

Step-by-step explanation:

Given R is the midpoint of QS, the segments QR and RS are equal.

QR = RS

Where QR = 5x - 3 and RS = 21 - x.

Set 5x - 3 equal to 21 - x.

5x-3=21-x

Add x to both sides:

6x-3= 21

Add 3 to both sides:

6x= 24

Divide both sides by 6:

x= 4

QS= QR+RS

QS=5x-3+21-x

QS=4x+18

Substitute x = 4 into the expressions to find lengths:

QS=4(4)+18=34

Leona [12.6K]2 months ago
3 0

Answer:

The length of QS is 34.

Step-by-step explanation:

First, find x by setting both sides equal:

5x - 3 = 21 - x

Add x to both sides:

6x - 3 = 21

Add 3 to both sides:

6x = 24

Divide both sides by 6:

x = 4

Next, calculate QS by adding QR and RS:

QR + RS = (5x - 3) + (21 - x) = 4x + 18

Plug in x = 4:

4(4) + 18 = 16 + 18 = 34

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