Mathematics
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OpenStudy (anonymous):
help? will give metal for right answer
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OpenStudy (anonymous):
Post your question.
OpenStudy (anonymous):
OpenStudy (anonymous):
i did
hartnn (hartnn):
when triangles are similar, their sides are proportional!
can you form an equation,
equating the proportional sides ?
OpenStudy (acxbox22):
its okay i have enough steel to last me a few months
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OpenStudy (anonymous):
@ hartnn i have no idea how to do that
hartnn (hartnn):
solved any similar triangles question before ?
OpenStudy (anonymous):
i dont know how to make an equation for it
hartnn (hartnn):
ok,
since ABC ~ DEC
side AB is corresponding to side DE
side AC is corresponding to side DC
can you tell me now, BC is corresponding to which side ?
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OpenStudy (anonymous):
EC
hartnn (hartnn):
thats correct!
now sides are proportional means
the ratio of corresponding sides is EQUAL
hartnn (hartnn):
so, we have
\(\Large \dfrac{AB}{DE } =\dfrac{AC}{DC}=\dfrac{BC}{EC} \)
got this ?
hartnn (hartnn):
plug in the values of all the sides that you know
like you know AB = 36
so put 36 in place of AB in that equation
OpenStudy (anonymous):
36/6=63+x/x+3 ?
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hartnn (hartnn):
yep, thats correct!
36/6=(63+x)/(x+3)
can you try to solve for x from here ?
hartnn (hartnn):
36/6 = 6
then do cross-multiplication
6(x+3) = 63+x
now it should be east to find x :)
try it
hartnn (hartnn):
**easy
hartnn (hartnn):
any luck ?
OpenStudy (anonymous):
trying
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OpenStudy (anonymous):
the x+3 and 63+x is throwing me off a bit
OpenStudy (anonymous):
how would i do 36 times x+3?
hartnn (hartnn):
its 6 times (x+3)
not 36
hartnn (hartnn):
\(a(b+c) = ab+ac \\ 6(x+3) = 6\times x + 6\times 3 = ... ?\)
OpenStudy (anonymous):
-3
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hartnn (hartnn):
how ?
hartnn (hartnn):
6x +18 = 63+x
6x-x = 63 -18
hartnn (hartnn):
5x =45
couldn't be any easier...
OpenStudy (anonymous):
x=9
hartnn (hartnn):
thats correct :)
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OpenStudy (anonymous):
so the answer is 9?
hartnn (hartnn):
yes!
OpenStudy (anonymous):
sorry bout the derpness lol but thanks!
hartnn (hartnn):
welcome ^_^