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

Answers 3

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

The value of QS is 30

QR = 5x-3

QR = 5x-3RS =21-x

Since, R is the midpoint of QR and RS ;

THEN ; = QS = QR + RS

5x - 3 = 21 - x

Solve for x

Collect like terms

5x + x = 21 + 3

6x = 24

Divide both sides by 6

x = 24 / 6

x = 3

QS = 5x - 3 + 21 - x

QS = 4x + 18

Put x = 3 in the equation :

QS = 4(3) + 18

QS = 12 + 18 = 30

The value of QS = 30

AI generated Answer

QS = 5x-3 + 21 - x = 26 - x Explanation: Given that QR = 5x-3 and RS = 21-x We note that QS = QR + RS Therefore, QS = 5x-3 + 21 - x = 26 - x

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