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

User Chirag B
by
7.7k points

2 Answers

4 votes

Answer: for a quick, short answer, QS=68

Explanation:

User Jacky Shek
by
7.6k points
2 votes

R is the mid point of qs it means
qr = rs
and qs = qr + rs
it seems s is the mid point of rt it means rs = st and
rt = rs+st
putting the values of rt, rs and st and solve for x
8x-43 = 2x -4 + 4x-1
8x-4x-2x = 43-5
2x = 38
x = 19
Now
rs = 2x-4 = 2 x 19 -4 = 38 - 4 = 34 = qr
and qs = rs + qr
= 34 + 34 = 68
User Sharell
by
8.6k points
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User Alex Peachey
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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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