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In the figure, lines l, m, and n intersect at O. Which one o
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21 Sep 2018, 09:11
21 Sep 2018, 09:11
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Question Stats:
56% (02:21) correct
43% (01:59) wrong based on 37 sessions
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#GREpracticequestion In the figure, lines l, m, and n intersect at O.jpg [ 18.47 KiB | Viewed 6133 times ]
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?
A. \(a < \frac{5}{8}\)
B. \(a = \frac{5}{7}\)
C. \(a = \frac{5}{6}\)
D. \(a = 1\)
E. \(a > 1\)
Re: In the figure, lines l, m, and n intersect at O. Which one o
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03 Oct 2018, 13:17
03 Oct 2018, 13:17
5
Expert Reply
We have 3 unkown terms x, y and a.
In the figure below angles marked in red are equal to each other and angles marked in blue are equal to each other.
Inkedlines_LI.jpg [ 821.23 KiB | Viewed 7242 times ]
So from there we can write:
\(x=ay\) and \(x+10=y\)
Also angle marked in yellow is 180 because it lies on a line
\(x+y+120=180\) or \(x+y+10=70\) or \(x+10+y=70\) or \(y+y=70\) (from the second equation above) or \(y=35\) and \(x=25\)
\(ay=x\) or \(a=\frac{x}{y}=\frac{25}{35}=\frac{5}{7}\).
In the figure below angles marked in red are equal to each other and angles marked in blue are equal to each other.
Attachment:
Inkedlines_LI.jpg [ 821.23 KiB | Viewed 7242 times ]
So from there we can write:
\(x=ay\) and \(x+10=y\)
Also angle marked in yellow is 180 because it lies on a line
\(x+y+120=180\) or \(x+y+10=70\) or \(x+10+y=70\) or \(y+y=70\) (from the second equation above) or \(y=35\) and \(x=25\)
\(ay=x\) or \(a=\frac{x}{y}=\frac{25}{35}=\frac{5}{7}\).
General Discussion
Re: In the figure, lines l, m, and n intersect at O. Which one o
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02 Oct 2018, 06:55
02 Oct 2018, 06:55
solution pls??
