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Lines m and n intersect to the right of the picture.
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20 Jan 2019, 18:41
20 Jan 2019, 18:41
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Question Stats:
37% (01:16) correct
62% (01:25) wrong based on 143 sessions
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Lines m and n intersect to the right of the picture.
Quantity A |
Quantity B |
x |
36 |
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.
Re: Lines m and n intersect to the right of the picture.
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23 Jan 2019, 19:57
23 Jan 2019, 19:57
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Since the lines intersect to the right, we know that the resulting area is a triangle, which interior angles must sum up to 180 degrees.
the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.
To find the third angle: (180-2x) + (180-3x) + Y = 180
thus Y = 180 - [(180-2x) + (180-3x)]
Y=5x-180
We Know that y can't be -ve or 0, so 5x>180
5x>180
X>36
Answer is A
the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.
To find the third angle: (180-2x) + (180-3x) + Y = 180
thus Y = 180 - [(180-2x) + (180-3x)]
Y=5x-180
We Know that y can't be -ve or 0, so 5x>180
5x>180
X>36
Answer is A
General Discussion
Re: Lines m and n intersect to the right of the picture.
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Updated on: 24 Jan 2019, 02:50
Updated on: 24 Jan 2019, 02:50
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Since the lines intersect to the right, we know that the resulting area is a triangle, which interior angles must sum up to 180 degrees.
the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.
To find the third angle: (180-2x) + (180-3x) + Y = 180
thus Y = 180 - [(180-2x) + (180-3x)]
....
2x + 3x >180 (since we know, that the vertex on the right must have an angle larger than 0, in order to make a triangle.
x > 36.
The answer should be A.
Edited Answer, thanks to the @CAMANISHPARMAR and @akingba
the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.
To find the third angle: (180-2x) + (180-3x) + Y = 180
thus Y = 180 - [(180-2x) + (180-3x)]
....
2x + 3x >180 (since we know, that the vertex on the right must have an angle larger than 0, in order to make a triangle.
x > 36.
The answer should be A.
Edited Answer, thanks to the @CAMANISHPARMAR and @akingba
Attachments
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