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Mathematics 17 Online
OpenStudy (anonymous):

The polygons above are similar. Find x and y. The images are not drawn to scale. https://media.education2020.com/evresources/2090444_30146463-e2c6-495f-bc2a-409e788fa4c0.png

OpenStudy (imstuck):

Use similarity ratios here. The first one will be\[\frac{ 12 }{ 18 }=\frac{ y+2 }{ 24 }\]Cross multiply and solve for y.

OpenStudy (imstuck):

12(24)=18(y+2)

OpenStudy (imstuck):

288=18y+36 252=18y 14=y

OpenStudy (imstuck):

And the second similarity ratio for the x's is this:\[\frac{ 12 }{ 18 }=\frac{ (x-3) }{27 }\]Same thing here...cross multiply.

OpenStudy (imstuck):

12(27)=18(x-3) 324=18x-54 378=18x x=21

OpenStudy (anonymous):

tysm!

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