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R, S, T, and U are points on a line, and U is the midpoint

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Senior Manager
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R, S, T, and U are points on a line, and U is the midpoint [#permalink]

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New post 01 Dec 2005, 00:42
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R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU?

A. 6
B. 8
C. 12
D. 14
E. 16

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Re: points on a line segment [#permalink]

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New post 01 Dec 2005, 00:55
getzgetzu wrote:
R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU?

A. 6
B. 8
C. 12
D. 14
E. 16


SU= 1/2 ST= 12

R can lie outside or inside segment line ST . But , since RS+RT= 20+4=24= ST ----> R can only lie inside the segment ----> UR= ST-SU-RT= 24-12-4= 8

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 [#permalink]

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New post 01 Dec 2005, 08:09
Helps to draw this one out. U is the midpoint of ST, and because RS+RT=24, then R is also between ST. If RT=4, then R is between U and T. UT-RT=RU---> 12-4=8

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New post 01 Dec 2005, 09:17
Yes, drawing a line helps.
the points will be in order SURT
RU = 8

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Re: R, S, T, and U are points on a line, and U is the midpoint [#permalink]

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New post 30 Oct 2017, 20:34
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Re: R, S, T, and U are points on a line, and U is the midpoint   [#permalink] 30 Oct 2017, 20:34
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