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Lines l and m are parallel.

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Retired Moderator
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Lines l and m are parallel. [#permalink] New post 06 Oct 2018, 16:01
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Question Stats:

89% (00:30) correct 10% (00:00) wrong based on 38 sessions
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Lines l and m are parallel.

Quantity A
Quantity B
\(x+2y\)
\(180\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Lines l and m are parallel. [#permalink] New post 12 Jan 2019, 06:24
x+y=180
x+2y>180
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Re: Lines l and m are parallel. [#permalink] New post 12 Jan 2019, 06:59
Expert's post
sandy wrote:
Attachment:
Capture.JPG


Lines l and m are parallel.

Quantity A
Quantity B
\(x+2y\)
\(180\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Since lines l and m are parallel. we know that x + y = 180

So, one option is to replace Quantity B with x + y to get:
QUANTITY A: x + 2y
QUANTITY B: x + y

At this point, it may seem obvious that Quantity B is greater.
If it's not obvious, we can continue by applying the matching operations strategy

Subtract x from both quantities to get:
QUANTITY A: 2y
QUANTITY B: y

Subtract y from both quantities to get:
QUANTITY A: y
QUANTITY B: 0

Since y must have a POSITIVE value, Quantity A is greater

Answer: A

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Re: Lines l and m are parallel.   [#permalink] 12 Jan 2019, 06:59
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Lines l and m are parallel.

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