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j814wong
Group Title
Let A,B, and C be three points in a plane such that AB:BC = 3:5. Which of the following can be the ratio of AB:AC?
I. 1:2
II. 1:3
III. 3:8
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
 2 years ago
 2 years ago
j814wong Group Title
Let A,B, and C be three points in a plane such that AB:BC = 3:5. Which of the following can be the ratio of AB:AC? I. 1:2 II. 1:3 III. 3:8 A. I only B. II only C. III only D. I and III only E. I, II, and III
 2 years ago
 2 years ago

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amistre64 Group TitleBest ResponseYou've already chosen the best response.1
might help to draw it out
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1343938402235:dw
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
write the ratios as fractions so see if any of them are equal to each other as well
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
Oh I see. So 3:8 works. And 1:2 also works if I draw it this way.dw:1343939315480:dw Thanks. I guess where I was thrown off was that the question said three points on a plane instead of line.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
ab:ac 3 : 2 3/2 not equal to 1/2 tho
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
but, what if they form a triangle instead of a line?
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1343939637228:dw
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
If that happens, how should I go about it?
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
a triangle has the property that the sum of 2 sides is greater than the remaining side
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344178277031:dw AC would be bounded between 2 and 8
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
therefore our ratio is bounded between: 3/2 and 3/8 3/2, 1 : .666 3/3, 1 : 1 3/4, 1 : 1.333 3/5, 1 : 1.666 3/6, 1 : 2 3/7, 1 : 2.333 3/8, 1 : 2. 666
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
or we could just take the 3 options and get them to the 3 : n ratio .... 3:6 3:9 3:8 since 3:9 is out of bounds, and the other 2 are in bounds, it would appear to me to be I and III
 2 years ago
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