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25-10-2021
Mathematics

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if abc~ dec , what is the length of de? Please help

if abc dec what is the length of de Please help class=

Respuesta :

25-10-2021

Answer:

B) 12

Step-by-step explanation:

Given:

ΔABC ~ ΔDEC

AB ~ DE

AC ~ DC

BC ~ EC

We will just use ratios and substitute DE as x:

[tex]\frac{AB}{AC} =\frac{DE}{DC} \\\\\frac{16}{20} =\frac{x}{15} \\\\20x=240\\\\x=\frac{240}{20} \\\\x=12[/tex]

DE = 12

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