Geometry
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OpenStudy (anonymous):
what is AC? A) 144 (B) 136 C) 108 D) 128
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OpenStudy (anonymous):
OpenStudy (mertsj):
The triangles are similar. Does that help?
OpenStudy (anonymous):
yea but i dont know how to solve !:(
OpenStudy (mertsj):
What proportion did you write?
OpenStudy (anonymous):
x/7= 84/156-x
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OpenStudy (mertsj):
What side corresponds to 84?
OpenStudy (anonymous):
opposite
OpenStudy (mertsj):
84 is the short leg of the big triangle. What is the short leg of the little triangle?
OpenStudy (anonymous):
no ! 7 sorry
OpenStudy (mertsj):
Then 84 and 7 are corresponding sides. If you have 7 as the denominator of one fraction, you should have 84 as the denominator of the second fraction.
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OpenStudy (anonymous):
ok?
OpenStudy (mertsj):
Well then rewrite your proportion incorporating the fact that you just learned.
OpenStudy (anonymous):
i am .. on paper hold on
OpenStudy (anonymous):
so 156-x/84= x/7
OpenStudy (anonymous):
?
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OpenStudy (mertsj):
yes
OpenStudy (anonymous):
ok let me solve
OpenStudy (mertsj):
More precisely:
(156-x)/84=x/7
OpenStudy (anonymous):
i got 84x=1092-x
OpenStudy (mertsj):
Solve that equation.
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
84x2-1092 ???
OpenStudy (mertsj):
\[\frac{156-x}{84}=\frac{x}{7}\]
OpenStudy (mertsj):
\[7(156-x)=84x\]
OpenStudy (mertsj):
\[1092-7x=84x\]
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OpenStudy (anonymous):
do i cancel out the x ?
OpenStudy (mertsj):
\[1092=91x\]
OpenStudy (mertsj):
\[\frac{1092}{91}=\frac{91x}{91}\]
OpenStudy (mertsj):
Perhaps you can finish it.
OpenStudy (anonymous):
i got 12 but it does not match to any answer choices?
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OpenStudy (mertsj):
You got 12 for what?
OpenStudy (anonymous):
x i devided 1092 into 91
OpenStudy (mertsj):
You divided 91 into 1092 and got x = 12
Does the problem say "solve for x" ?
OpenStudy (anonymous):
no itsays find AC ... flutter im lost
OpenStudy (anonymous):
so how do i find AC?
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OpenStudy (mertsj):
What is the length of AC as printed in the problem?
OpenStudy (anonymous):
i got 144!! i replacedd x with 12
OpenStudy (mertsj):
perfect!!
OpenStudy (anonymous):
thank u ^.^
OpenStudy (mertsj):
yw