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In the figure above, m is parallel to n, but n is not parallel to p.

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In the figure above, m is parallel to n, but n is not parallel to p. [#permalink]

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New post 08 Aug 2017, 02:01
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In the figure above, m is parallel to n, but n is not parallel to p. If z + w = 5, what is the ratio of z to w?

(A) 1 : 3
(B) 2 : 3
(C) 3 : 4
(D) 4 : 3
(E) cannot be determined

[Reveal] Spoiler:
Attachment:
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2017-08-08_1300.png [ 12.8 KiB | Viewed 271 times ]
[Reveal] Spoiler: OA

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Re: In the figure above, m is parallel to n, but n is not parallel to p. [#permalink]

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New post 08 Aug 2017, 02:25
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It has been given in the diagram that m is parallel to n, but n is not parallel to p.
So if z + w = 5, we cannot clearly tell the value of z and w.
Since the traversals are not parallel to each other.
Hence the ratio of w to z cannot be determined.

Hence Option E is the correct answer.

P.S the ratio would be 3:2 if the traversals were also parallel to each other!
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In the figure above, m is parallel to n, but n is not parallel to p. [#permalink]

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New post 08 Aug 2017, 02:27
pushpitkc wrote:
Image

It has been given in the diagram that m is parallel to n, but n is not parallel to p.
So if z + w = 5, we cannot clearly tell the value of z and w.
Since the traversals are not parallel to each other.
Hence the ratio of w to z cannot be determined.

Hence Option E is the correct answer.

P.S the ratio would be 3:2 if the traversals were also parallel to each other!


Hi pushpitkc

can u help elaborate "the ratio would be 3:2 if the traversals were also parallel to each other"
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In the figure above, m is parallel to n, but n is not parallel to p. [#permalink]

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New post 08 Aug 2017, 02:44
Luckisnoexcuse wrote:

Hi pushpitkc

can u help elaborate "the ratio would be 3:2 if the traversals were also parallel to each other"


If the traversals are also parallel, the distance between the parallel lines will also be 3.
For the lines to be parallel, the length of the traversal has to be equal, else the lines can't be parellel.

Since z+w = 5, w = 5-3 = 2
Hence, z:w = 3:2
Hope that helps!
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In the figure above, m is parallel to n, but n is not parallel to p. [#permalink]

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New post 08 Aug 2017, 02:48
pushpitkc wrote:
Luckisnoexcuse wrote:

Hi pushpitkc

can u help elaborate "the ratio would be 3:2 if the traversals were also parallel to each other"


If the traversals are also parallel, the distance between the parallel lines will also be 3.
For the lines to be parallel, the traversal has to be equal, else the lines can't be parellel.

Since z+w = 5, w = 5-3 = 2
Hence, z:w = 3:2
Hope that helps!


Thanks for the reply pushpitkc

nooo i think i got it if the two intersecting lines are parallel then z will take 3 irrespective


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In the figure above, m is parallel to n, but n is not parallel to p.   [#permalink] 08 Aug 2017, 02:48
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In the figure above, m is parallel to n, but n is not parallel to p.

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