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mathstudent55
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The key to this problem is that the figures are similar.
The lengths of corresponding sides of similar figures are in proportion.

mathstudent55
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6x corresponds to 18, and 5x + 10 corresponds to 20
Write a proportion and solve it.

SephI
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Uhh, would it be 6x/18 = 5x/10?

zepdrix
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\[\large \frac{6x}{18}=\frac{5x+10}{20}\]
I think you had the right idea, I'm just not sure what happened on the right side.

mathstudent55
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dw:1369721665425:dw

SephI
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dw:1369721843034:dw

mathstudent55
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yes

SephI
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Now I just solve forx?

mathstudent55
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yes


mathstudent55
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yes