anonymous
  • anonymous
Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio. He knows that the distance between the x-coordinates is 4 units. Which of the following fractions will let him find the x-coordinate for point K? A. 2/3 B. 2/5 C. 3/2 D. 3/5
Geometry
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
|dw:1441683778817:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1441683820093:dw|

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More answers

jim_thompson5910
  • jim_thompson5910
do you have something like this as your drawing so far?
anonymous
  • anonymous
No, because I wasn't sure how to even start it.
jim_thompson5910
  • jim_thompson5910
do you agree with the drawing?
anonymous
  • anonymous
Yes.
jim_thompson5910
  • jim_thompson5910
ok at this point, I'm stuck because I'm trying to figure out what they want exactly. Let me think
madhu.mukherjee.946
  • madhu.mukherjee.946
use the distance formula
jim_thompson5910
  • jim_thompson5910
let's try this cut the horizontal distance into 5 equal pieces |dw:1441684123914:dw|
jim_thompson5910
  • jim_thompson5910
the first 2 pieces will come from the ratio 2:3 so this is where K is located |dw:1441684195848:dw|
anonymous
  • anonymous
So, does that mean that the answer is C?
jim_thompson5910
  • jim_thompson5910
not sure yet
anonymous
  • anonymous
3/2?
jim_thompson5910
  • jim_thompson5910
let's see, if we cut that 4 into 5 equal parts, each piece is 4/5 |dw:1441684366181:dw|
jim_thompson5910
  • jim_thompson5910
so 2*(4/5) = 8/5 |dw:1441684402390:dw|
anonymous
  • anonymous
So does this mean that it's 3/5 now?
jim_thompson5910
  • jim_thompson5910
I'm wondering if they want you to set up a proportion. Have previous problems used proportions at all before?
anonymous
  • anonymous
Not that I know of.
jim_thompson5910
  • jim_thompson5910
ok I'm thinking maybe you'd have a proportion in the form a/b = c/d the right side would be 2/5 because we go 2 parts over to get to the x coordinate of K, out of 5 parts total so we'd have a/b = 2/5 I'm not 100% sure on this one though
anonymous
  • anonymous
Okay, I guess that's what I'll go with.

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