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In the diagram, AE=20, AD=14, CD=6, and EB=17. What is the length of the line segment BC?

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by BTGmoderatorLU » Thu Oct 08, 2020 3:00 am
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Source: Magoosh

In the diagram, AE=20, AD=14, CD=6, and EB=17. What is the length of the line segment BC?

GMAT_PS_Magoosh_315.png
Note: Figure not drawn to scale

A. 2
B. 3
C. 4
D. 5
E. 6

The OA is D
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Re: In the diagram, AE=20, AD=14, CD=6, and EB=17. What is the length of the line segment BC?

by Scott@TargetTestPrep » Fri Oct 16, 2020 5:56 am
BTGmoderatorLU wrote: ↑
Thu Oct 08, 2020 3:00 am
 Source: Magoosh

In the diagram, AE=20, AD=14, CD=6, and EB=17. What is the length of the line segment BC?


GMAT_PS_Magoosh_315.png
Note: Figure not drawn to scale

A. 2
B. 3
C. 4
D. 5
E. 6

The OA is D
Solution:

Since AE = 20 and AD = 14, then DE = AE - AD = 20 - 14 = 6. Since CD = 6 and DE = 6 and EB = 17, we see that BC = EB - CD - DE = 17 - 6 - 6 = 5.

Answer: D

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