the polygon is similar find the value of the variable
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OpenStudy (highschoolmom2010):
OpenStudy (anonymous):
tere ta byar
OpenStudy (bahrom7893):
Similar means:
12/9 = x/6
OpenStudy (highschoolmom2010):
ok i did that sooo wrong on meh paper
OpenStudy (bahrom7893):
Basically the ratios of corresponding sides are equal
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OpenStudy (bahrom7893):
Form a few equations and you're good to go
OpenStudy (highschoolmom2010):
ok
i did : 12/x=9/6=z/3.5=y/6
OpenStudy (highschoolmom2010):
but that looks weird
\[\frac{ 12 }{ x}=\frac{ 9 }{ 6 }=\frac{ z } {3.5 }= \frac{ y } {6 }\]
OpenStudy (highschoolmom2010):
any ideas?
OpenStudy (anonymous):
We basically set up ratios to solve for each variable:\[\bf \frac{ z }{ 9 }=\frac{ 3.5 }{ 6} \implies z=?\]\[\bf \frac{x}{6}=\frac{12}{9} \implies x=?\]\[\bf \frac{y}{9}=\frac{6}{6}=1 \implies y =?\]@highschoolmom2010
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OpenStudy (anonymous):
We are able to derive these ratios because we are given that the figure is similar, hence the ratios of its respective sides will be equal. This allows us to construct simple ratios and solve for the missing side.
OpenStudy (highschoolmom2010):
ok in english please lol im math challenged
OpenStudy (dan815):
how much smaller is the smaller polygon
OpenStudy (dan815):
the Side 9 from bigger became 6 on the smaller
so whats the ratio between them
OpenStudy (highschoolmom2010):
3
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