SOLUTION: If ST = 5, TU = 3x, and SU = 4x, what is SU?

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Question 1203344: If ST = 5, TU = 3x, and SU = 4x, what is SU?
Found 5 solutions by Alan3354, greenestamps, josgarithmetic, ikleyn, math_tutor2020:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If ST = 5, TU = 3x, and SU = 4x, what is SU?
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Without additional info, SU = 4x.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Just how do you expect us to help you with this if this is all you show? We have absolutely no idea what this question is about....

And, by the way, SU = 4x; it says so in the statement of the problem.


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
They are what? segments on the same line? If that, then you can draw the figure and label it very easily, and should be no trouble with Segment Addition Postulate.
... in fact, you could almost do this all in your head.

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is with a shudder, I see how carelessly is presented this problem in your post.


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Specially for tutor math_tutor2020.

What if these segments are the sides of a right angled triangle ?


I am surprised at some tutors on this forum, who allow obvious nonsense
as a possible version, cultivating irresponsibility among visitors.

Such posts need to be burned out with flamethrowers on this forum.
To accustom visitors to order and responsibility is no less important task
than to teach them to solve problems.

May be, even more important task.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Here are two assumptions I'll make
  • Points S,T,U are collinear. In other words, they all are on the same straight line.
  • T is between S and U.
If both assumptions are correct, then we use the segment addition postulate.
ST + TU = SU
5 + 3x = 4x
5 = 4x-3x
5 = x
x = 5

This would yield SU = 4x = 4*5 = 20