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PLEASE HELP ASAP CANT MOVE ON

What is the scale factor of LaTeX: \triangle ABC\:to\:\triangle DEC? Be sure to simplify your answer!

answers:

2/7

10/21

3/14

5/14

PLEASE HELP ASAP CANT MOVE ONWhat Is The Scale Factor Of LaTeX Triangle ABCtotriangle DEC Be Sure To Simplify Your Answeranswers 27 1021 314 514 class=

Sagot :

monospace

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Triangle ABC is similar to triangle DEC, because all angles in one triangle are equal to angles in the other triangle.

That means that corresponding sides have the same ratio. Side AB and side DE are corresponding sides. Since there are no unknowns we can calculate the ratio (scale factor).

Since we are looking for scale factor of triangle DEC to triangle ABC, we put side AB (which is in triangle ABC) in the numerator.

[tex]\text{scale factor} = \frac{\text{AB}}{\text{DE}} = \frac{6}{21} = \frac{2}{7}[/tex]

I've marked corresponding sides and angles in the attached picture.

View image monospace
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