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Lines l and m are parallel.
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06 Oct 2018, 16:01
06 Oct 2018, 16:01
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93% (00:34) correct
6% (01:43) wrong based on 59 sessions
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Lines \(\ell\) 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.
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Re: Lines l and m are parallel.
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12 Jan 2019, 06:59
12 Jan 2019, 06:59
sandy wrote:
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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 A 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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