shilolopez26 shilolopez26
  • 21-07-2022
  • Mathematics
contestada


In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE

In the diagram ABBC ADDE Substitute the known values into the proportion and solve for DE class=

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 21-07-2022

Answer:

[tex]\huge\boxed{\sf DE = 9}[/tex]

Step-by-step explanation:

From the figure,

AB = 2

BC = 3

AD = 6

Substitute in the given formula

[tex]\displaystyle \frac{AB}{BC} =\frac{AD}{DE} \\\\\frac{2}{3} = \frac{6}{DE} \\\\Cross \ Multiply \\\\2 \times DE = 6 \times 3\\\\2DE = 18\\\\Divide \ 2 \ to \ both \ sides\\\\DE = 18/2\\\\DE = 9\\\\\rule[225]{225}{2}[/tex]

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