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]

Answer Link

Otras preguntas

please explain how to solve this  On Monday,it took Helen 3 hours to do  a page of science homework exercises.The next day she did the same number of exercises
please explain how to solve this  On Monday,it took Helen 3 hours to do  a page of science homework exercises.The next day she did the same number of exercises
why did people immigrate to the United States in the late 1800s?
why did people immigrate to the United States in the late 1800s?
A pencil measures 14 cm long. How many millimeters long is it?
whats the most accurate estimation of 65+77
why did people immigrate to the United States in the late 1800s?
why did people immigrate to the United States in the late 1800s?
A pencil measures 14 cm long. How many millimeters long is it?
''Life in a city is more rewarding than life outside a city."List two or three arguments in favor of this opinion and two or three arguments opposing this opini