Mathematics
22 Online
OpenStudy (anonymous):
Triangles MOP and MNQ are similar. Find x.
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OpenStudy (anonymous):
OpenStudy (anonymous):
so it's pretty much asking u to find QP
OpenStudy (anonymous):
which is part of MP
OpenStudy (anonymous):
so now u need to find MP first and subtract MQ (whic is 15) from it to get x
OpenStudy (anonymous):
MN + NO= 17
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OpenStudy (anonymous):
\[\frac{ MQ }{ MN} = \frac{ MO }{ MP}\]
OpenStudy (anonymous):
soooo now we just need to plug in the values
OpenStudy (anonymous):
15/12 =5/x ? right?
OpenStudy (anonymous):
\[\frac{ 15 }{ 12}= \frac{ 17 }{ MP }\]
OpenStudy (anonymous):
we're not looking for x yet, we'll get x after we find MP
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OpenStudy (anonymous):
sorry I meant to put QP
OpenStudy (anonymous):
MP= 13.6
OpenStudy (anonymous):
so 15/12 =17/13.6
OpenStudy (anonymous):
hmmm something doesn't look right, wait
OpenStudy (anonymous):
do u have 6.25 in the answer choices?
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OpenStudy (anonymous):
I have to type it in!
OpenStudy (anonymous):
alright i made a mistake and that is instead of 17/MP is should be MP/17
OpenStudy (anonymous):
and that gives us 21.25 for MP
OpenStudy (anonymous):
so now we subtract MQ from that to get x
OpenStudy (anonymous):
and we end up with 6.25 as the answer :)
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OpenStudy (anonymous):
thank you!! :)
OpenStudy (anonymous):
Your welcome 👌
OpenStudy (anonymous):
you're*** //laughs nervously//