anonymous
  • anonymous
If E partitions CD by a ratio of 1/8, then which of the following could be the location of E?
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  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
-7 -5 -3 -1
whpalmer4
  • whpalmer4
We're going to need a bit more information about CD!
anonymous
  • anonymous
ok i attach the line

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anonymous
  • anonymous
\
1 Attachment
anonymous
  • anonymous
@whpalmer4
whpalmer4
  • whpalmer4
what is the length of CD?
anonymous
  • anonymous
16?
anonymous
  • anonymous
@whpalmer4 is that right ?
whpalmer4
  • whpalmer4
Let me look!
anonymous
  • anonymous
ok
whpalmer4
  • whpalmer4
yes, that appears to be correct.
whpalmer4
  • whpalmer4
are you sure that 1/8 is the ratio?
anonymous
  • anonymous
yes it is
whpalmer4
  • whpalmer4
because if it is, we won't land exactly on any of those numbers in the answer choices
anonymous
  • anonymous
did you see the picture i attached?
whpalmer4
  • whpalmer4
we have 16 units to divide into 1+8=9 parts, and then we'll take 1/9 of those parts from an endpoint to find our partition.
anonymous
  • anonymous
ok so how do i do that?
whpalmer4
  • whpalmer4
possibly the problem expects you to choose -7 as your answer, but that isn't strictly speaking correct. partition CD by 1/8 means that CE and ED have the ratio 1:8, which means we must chop CD into 9 equal parts, and place E 1 part toward D from C. CD goes from -9 to +7 in your diagram, which is a total of 16 units. 16/(8+1) = 16/9 and neither 1*16/9 nor 8*16/9 is a round number, yet all the answer choices are round numbers.
whpalmer4
  • whpalmer4
16/9 = 1.77777777... so if we add -9 + 1.777777... we get -7.22222... which is close to -7, but not the same. But all the other answers are even further removed from the 1/8 point, so that's the best of the bunch, I suppose.
anonymous
  • anonymous
ok that makes sense maybe were supposed to round
whpalmer4
  • whpalmer4
If the ratio was 1/7, then we could do the problem correctly. CD is 16 units long, divided into 1+7=8 parts gives us 2 units per part. Our ratio calls for us to go 1 part = 2 units toward D from C, so -9 + 2 = -7 and that is exactly what one of the answer is. That's what made me ask if you had copied the problem correctly (you had, but I think the problem is incorrect. It happens much more often than it should, given what textbook publishers charge!)
whpalmer4
  • whpalmer4
Anyhow, do you at least understand how I worked the problem?
anonymous
  • anonymous
yes i do thank you so much ill put -7 but ill eamil my teacher
whpalmer4
  • whpalmer4
Yes, that would be good. If they insist that the problem is correct as written, let me know and I will supply you with some problems for them that demonstrate the flaw in their understanding :-)

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