macapinlacaeron macapinlacaeron

15-09-2022
Mathematics

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If R is the midpoint of QS, RS= 2x - 4, ST = 4x-1, and RT = 8x - 43, find QS.

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sangers1959 sangers1959

15-09-2022

Answer: QS=68 units

Step-by-step explanation:

RT=RS+ST

8x-43=2x-4+4x-1

8x-43=6x-5

8x-43-6x=6x-5-6x

2x-43=-5

2x-43+43=-5+43

2x=38

Divide both parts of the equation by 2:

x=19

QS=RS+RQ

As, RS=RQ

QS=2RS

QS=(2)((2)(19)-4))

QS=(2)(38-4)

QS=(2)(34)

QS=68

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