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Geometry 15 Online
OpenStudy (anonymous):

what is AC? A) 144 (B) 136 C) 108 D) 128

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

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.

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):

?

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.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

84x2-1092 ???

OpenStudy (mertsj):

\[\frac{156-x}{84}=\frac{x}{7}\]

OpenStudy (mertsj):

\[7(156-x)=84x\]

OpenStudy (mertsj):

\[1092-7x=84x\]

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?

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?

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

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