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t or 12
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21 Oct 2018, 08:27
21 Oct 2018, 08:27
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Question Stats:
77% (00:50) correct
22% (00:50) wrong based on 123 sessions
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Quantity A |
Quantity B |
t |
12 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Posts: 6218
Given Kudos: 136
Re: t or 12
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21 Oct 2018, 15:08
21 Oct 2018, 15:08
2
Carcass wrote:
Attachment:
line.jpg
Quantity A |
Quantity B |
t |
12 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
We know that two angles on the same line must add to 180 degrees.
So, we can write: (2t + 12) + (t² - 2t + 24) = 180
Simplify: t² + 36 = 180
Keep going: t² = 144
So, EITHER t = 12 OR t = -12
HOWEVER, if t = -12, then the angle on the left = 2(-12) + 12 = -12
Since we can't have negative angles on the GRE, we know that t cannot equal -12
This mean it MUST be the case that t = 12
We get:
Quantity A: 12
Quantity B: 12
Answer: C
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Re: t or 12
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23 Sep 2023, 19:37
23 Sep 2023, 19:37
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