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Mathematics 21 Online
OpenStudy (anonymous):

Triangles MOP and MNQ are similar. Find x. I got x=3. Is it correct?

OpenStudy (anonymous):

OpenStudy (danjs):

4 to (4+x) is the same as 6 to (6+2)

OpenStudy (danjs):

MQ to MP is the same as MN to MO

OpenStudy (danjs):

MP = MQ + QP = 4 + x

OpenStudy (anonymous):

I set the question up as 4+x = 6+2 4+x = 8 x = 8-4 x = 4

OpenStudy (danjs):

nah,, it is a ratio

OpenStudy (anonymous):

Sorry the answer I got was x=4 not x=3. I mistyped it xD

OpenStudy (danjs):

\[\frac{ 4 }{ 4+x }=\frac{ 6 }{ 6+2 }\]

OpenStudy (danjs):

length of the small triangle side over length of the same side on the larger = length of the smaller over the length of the larger same side

ganeshie8 (ganeshie8):

or you may just take the proportion of segments

OpenStudy (danjs):

yeah or that, same triangle a/b = other triangle ratio of the same sides

ganeshie8 (ganeshie8):

\[\frac{x}{4} = \frac{2}{6}\] solve \(x\)

ganeshie8 (ganeshie8):

either way it gives you the same answer beacause the smaller triangle is part of the bigger triangle

OpenStudy (anonymous):

8/6??

OpenStudy (danjs):

flip it over

OpenStudy (anonymous):

6/8 xD

OpenStudy (danjs):

haha, yea

ganeshie8 (ganeshie8):

8/6 is right

OpenStudy (anonymous):

o.O

ganeshie8 (ganeshie8):

but nobody leaves it like that 2 cancels

OpenStudy (danjs):

oh my god, i need bed.. lol

OpenStudy (anonymous):

4/3...

ganeshie8 (ganeshie8):

looks better :)

OpenStudy (anonymous):

Thank you professor :)

ganeshie8 (ganeshie8):

welcome welcome! :)

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