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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
 one year ago
 one year ago
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
 one year ago
 one year ago

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amistre64Best ResponseYou've already chosen the best response.1
might help to draw it out
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1343938402235:dw
 one year ago

amistre64Best 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
 one year ago

j814wongBest 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.
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
ab:ac 3 : 2 3/2 not equal to 1/2 tho
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
but, what if they form a triangle instead of a line?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1343939637228:dw
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
If that happens, how should I go about it?
 one year ago

amistre64Best 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
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344178277031:dw AC would be bounded between 2 and 8
 one year ago

amistre64Best 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
 one year ago

amistre64Best 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
 one year ago
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