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Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?

Triangle DEF is dilated by a scale factor of 23 to form triangle DEF What is the measure of side DE class=

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Answer:

DE = 30

Step-by-step explanation:

Let X be the measure of side DE.

You can write this equation to represent the problem:

[tex]x *\frac{2}{3} =20[/tex]

The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.

Solve for x:

[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]

DE = 30

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