GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
x or y
[#permalink]
24 Sep 2018, 12:01
24 Sep 2018, 12:01
Expert Reply
1
Bookmarks
00:00
Question Stats:
53% (01:49) correct
46% (02:08) wrong based on 65 sessions
Hide Show timer Statistics
Attachment:
triangle.jpg [ 11.83 KiB | Viewed 3210 times ]
\(\overline{AD} =2\)
\(\overline{DC}=x\)
\(\overline{CE}=8\)
\(\overline{BE}=y\)
\(\overline{DE}\) is parallel to \(\overline{AB}\)
Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: x or y
[#permalink]
08 Nov 2018, 21:48
08 Nov 2018, 21:48
1
Expert Reply
Carcass wrote:
Attachment:
triangle.jpg
\(\overline{AD} =2\)
\(\overline{DC}=x\)
\(\overline{CE}=8\)
\(\overline{BE}=y\)
\(\overline{DE}\) is parallel to \(\overline{AB}\)
Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Hi..
since \(\overline{DE}\) is parallel to \(\overline{AB}\), triangle ABC and CDE are similar triangles. This means the sides are in proportion..
ABC similar DEC .. thus
\(\frac{AB}{DE}=\frac{BC}{EC}=\frac{CA}{CD}.............\frac{15}{10}=\frac{8+y}{8}=\frac{x+2}{x}\)..
\(\frac{15}{10}=\frac{8+y}{8}........15*8=10*(8+y)......y=\frac{8*(15-10)}{10}=4\)
\(\frac{15}{10}=\frac{x+2}{x}........15*x=10*(x+2)......x=\frac{20}{(15-10)}=4\)
so x=y
C
