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Mathematics 15 Online
OpenStudy (highschoolmom2010):

the polygon is similar find the value of the variable

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

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

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

OpenStudy (dan815):

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