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If the figure above were redrawn to scale so that a = 30, and if segme

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If the figure above were redrawn to scale so that a = 30, and if segme  [#permalink]

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New post 17 Oct 2019, 00:10
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (01:39) correct 50% (01:14) wrong based on 32 sessions

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If the figure above were redrawn to scale so that a = 30, and if segments FA, FB and FC were extended indefinitely upward, how many points of intersection would be there in addition to E and F?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

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2017-08-08_1302.png
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If the figure above were redrawn to scale so that a = 30, and if segme  [#permalink]

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New post 19 Oct 2019, 11:14
Bunuel wrote:
Image
If the figure above were redrawn to scale so that a = 30, and if segments FA, FB and FC were extended indefinitely upward, how many points of intersection would be there in addition to E and F?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

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Look at the figure above:

After redrawing and extending the lines infinitely upwards we see that only FC and ED will interact and that will be the only point of intersection. Hence only ONE point of intersection in addition to E and F.

Ans B
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Re: If the figure above were redrawn to scale so that a = 30, and if segme  [#permalink]

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New post 17 Oct 2019, 20:47
given a= 30
hence 3a = 90 of a perpendicular line to DE . For two lines to intersect they should form a triangle with DE
only CF will be able to form such triangle with DE rest two lines will have sum greater than 180 thus can not form traingle
Hence B is the correct answer
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Re: If the figure above were redrawn to scale so that a = 30, and if segme   [#permalink] 17 Oct 2019, 20:47
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If the figure above were redrawn to scale so that a = 30, and if segme

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