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liberstina [14]
1 year ago
5

If r is the midpoint of qs rs=2x-4, st= 4x-1 and rt = 8x-43 find qs

Mathematics
1 answer:
sammy [17]1 year ago
6 0

Answer:

QS=68\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

r is the midpoint of qs

so

QR=RS

QS=QR+RS------> QS=2RS -----> equation A

RT=RS+ST ----> equation B

see the attached figure to better understand the problem

Substitute the given values in the equation B and solve for x

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

8x-43=6x-5

8x-6x=43-5

2x=38

x=19

step 2

Find the value of RS

RS=2x-4

substitute the value of x

RS=2(19)-4

RS=34\ units

step 3

Find the value of QS

Remember equation A

QS=2RS

so

QS=2(34)=68\ units

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