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# If six segments intersect as shown above, what is the value of z?

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
If six segments intersect as shown above, what is the value of z?  [#permalink]

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04 Sep 2018, 22:36
00:00

Difficulty:

25% (medium)

Question Stats:

86% (00:47) correct 14% (00:23) wrong based on 23 sessions

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If six segments intersect as shown above, what is the value of z?

(1) y = 3z
(2) y = 2x = 3z

Attachment:

image028.jpg [ 2.9 KiB | Viewed 204 times ]

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If six segments intersect as shown above, what is the value of z?  [#permalink]

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04 Sep 2018, 23:39
Bunuel wrote:

If six segments intersect as shown above, what is the value of z?

(1) y = 3z
(2) y = 2x = 3z

Attachment:
image028.jpg

(1) y = 3z
4x+4z=360
x+z=90

insufficient

(2) y = 2x = 3z
4x+2x+2x/3 = 360
this will give us x
we also know
3z=2x

sufficient
B
If six segments intersect as shown above, what is the value of z?   [#permalink] 04 Sep 2018, 23:39
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