3 years ago

1/2+3/4 1/2+3/4=2/4+3/4=5/4 or 11/4

Mathematics

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olga nikolaevna [1]3 years ago

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If the polygons are similar then the sides are in proportion.

$\dfrac{32}{24}=\dfrac{32:8}{24:8}=\dfrac{4}{3}$

Therefore we have the equations:

$\dfrac{x-1}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}$

$\dfrac{y+1}{21}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}$