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OpenStudy (anonymous):
OpenStudy (anonymous):
Did you finish this?
OpenStudy (anonymous):
no :/
OpenStudy (anonymous):
Is ADE and AOC similar?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
Then what do you think about the ratios AE/AC and AD/AO?
OpenStudy (anonymous):
do would be 25
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
No. Actually,\[\frac{ AE }{ AC }=\frac{ AD }{ AO }\rightarrow AO=\frac{ AC \times AD }{ AE }=\frac{ 40 \times 12 }{ 15 }=32\]Therefore, DO = AO - AD
OpenStudy (anonymous):
so how would i respond to this
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OpenStudy (anonymous):
i need to call my teacher and give her the answer, what would i tell her when he asks me about do and of
OpenStudy (anonymous):
do is 32
OpenStudy (anonymous):
Nope. DO = AO - AD
We know that AO = 32 and AD =12, then DO = 32 - 12 = 20
OpenStudy (anonymous):
oh okay :)
OpenStudy (anonymous):
and OF?
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OpenStudy (anonymous):
Sorry, I am thinking. Thank you for you patience.
OpenStudy (anonymous):
take your time :)
OpenStudy (anonymous):
Are OD and EF parallel?
OpenStudy (anonymous):
yupp
OpenStudy (anonymous):
Then DE = OF
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OpenStudy (anonymous):
how would we find DE?
OpenStudy (anonymous):
You might call DE x. Then\[\frac{ AE }{ AC }=\frac{ DE }{ OC }\rightarrow \frac{ 15 }{ 40 }=\frac{ x }{ x+30 }\]You can now solve for x. The final answer is x = DE = OF
OpenStudy (anonymous):
If you get 18, then you are right.
OpenStudy (anonymous):
DO = 20 and OF = 18
OpenStudy (anonymous):
Yes
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