Mathematics
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OpenStudy (anonymous):
If AB = 3, AD = 5, and DE = 6, what is the length of BC?
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OpenStudy (anonymous):
choices:3.5, 3.6, 3.4, 4. given: line BC and line DE are parallel to each other.
OpenStudy (anonymous):
I can't do this....
OpenStudy (anonymous):
I'm dumb...
OpenStudy (anonymous):
are there more knowns?
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OpenStudy (anonymous):
Um... im looking, but I dont think so. is the image visible?
OpenStudy (anonymous):
yes.
OpenStudy (anonymous):
well, it's with proportion, angle A is the same for both triangles, and BC and DE are parallel. Thats about all I can find sorry
OpenStudy (anonymous):
that means they're similar so they have to scale some how..
OpenStudy (anonymous):
their angles should be the same just different sides
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OpenStudy (anonymous):
yes so this is a question of scaling.
OpenStudy (anonymous):
best guess is 3.6 tbh.
OpenStudy (anonymous):
yes it's 3.6
OpenStudy (anonymous):
3:5, x:6 i think if I remember correctly
OpenStudy (anonymous):
really? could you explain?
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OpenStudy (anonymous):
yes.
OpenStudy (anonymous):
the thing is AD=5 and AB=3
OpenStudy (anonymous):
so x:6 was right?
OpenStudy (anonymous):
so you know one side of the big triangle and you know one side of the small triangle.
OpenStudy (anonymous):
Yes that are similar sides
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OpenStudy (anonymous):
with similar sides, the scale should be through out the triangle no matter which sides you are comparing if I'm not mistaken.
OpenStudy (anonymous):
3/5=x/6?
OpenStudy (anonymous):
that is correct
OpenStudy (anonymous):
yes that's my guess.
OpenStudy (anonymous):
I hope that's sufficient.
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OpenStudy (anonymous):
I see thank you because 3:5= 60%, so 60% of x is 3.6 thank you so much!
OpenStudy (anonymous):
That was very useful thank you for explaining