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3 years ago

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

Mathematics

2 answers:

notka56 [123]3 years ago

7 0

Answer:

QS = 42 units

Step-by-step explanation:

8x - 51 = 3x - 6

5x = 45

x = 9

(8x - 51) + (3x - 6) = QS

72 - 51 + 27 - 6 = QS

42 = QS

tekilochka [14]3 years ago

4 0

Answer:

QS = 42

Step-by-step explanation:

If R is the midpoint, the QR = RS

QR = RS

8x-51 = 3x-6

Subtract 3x from each side

8x-3x-51 = 3x-3x-6

5x -51 =-6

Add 51 to each side

5x -51+51 = -6+51

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

RS = 3x-6

RS = 3*9-6

= 27-6

= 21

QS = QR + RS

= RS +RS

= 2RS

= 2 *21

= 42

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