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Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side IF.Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.Eu639BcHAnswer:Submit Answerattempt 1 out of 2Privacy Policy Terms of Service

Quadrilateral BCDE is similar to quadrilateral FGHI Find the measure of side IFRound your answer to the nearest tenth if necessary Figures are not drawn to scal class=

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Answer:

[tex]FI=21.3\text{ }[/tex]

Step-by-step explanation:

There are two conditions or rules for two polygons to be similar:

-All the corresponding angles must be equal.

-All the corresponding sides must be proportional.

Then, by proportional relationships, we can find the measure of side IF:

[tex]\frac{39}{11}=\frac{FI}{6}[/tex]

Now, solve for FI:

[tex]\begin{gathered} FI=\frac{39\cdot6}{11} \\ FI=21.27 \\ \text{Round to the nearest tenth:} \\ FI=21.3\text{ } \end{gathered}[/tex]

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