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

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
If the figure above were redrawn to scale so that a = 30, and if segme  [#permalink]

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08 Aug 2017, 02:04
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:23) correct 33% (01:16) wrong based on 28 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

Attachment:

2017-08-08_1302.png [ 15.43 KiB | Viewed 475 times ]

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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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08 Aug 2017, 02:15
Bunuel wrote:

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

Attachment:
2017-08-08_1302.png

if a = 30 then DE and BF are parallel . No intersection between BF & DE
no intersection between AF and DE upward
Only FC will intersect once with DE

1
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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08 Aug 2017, 02:21

If a=30,
The segment FA will be at an angle of 30 degree from the point E on line segment EF
The segment FB will be at an angle of (30+60)90 degree from the point E(on the line segment EF)
The segment FC will be at an angle of (30+60+30) or 120 degree from the point E(on the line segment EF)\

Similiarly the line segment ED will be at an angle of 90 degree from the point F(on the line segment EF)
FB is parallel to ED and FB is 120 degree from point E
So these line segments will never meet even if extended indefinitely upward.

Hence, only line segment FA will intersect at ED(Option B)
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Re: If the figure above were redrawn to scale so that a = 30, and if segme   [#permalink] 08 Aug 2017, 02:21
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# If the figure above were redrawn to scale so that a = 30, and if segme

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