episodediamond13
episodediamond13 episodediamond13
  • 02-12-2019
  • Mathematics
contestada

What is the length of CD in the figure below? Show your work.

What is the length of CD in the figure below Show your work class=

Respuesta :

DaGreatPotato DaGreatPotato
  • 02-12-2019

Answer:

5

Step-by-step explanation:

First, notice that these two triangles are similar using AA.

Because sides BC and EC are corresponding, you can divide 24 by 8, to determine that the ratio of similitude is 3.

That means that because sides AC and DC are corresponding, 25 - 2x divided by x is 3.

25 - 2x / x = 3

25 - 2x = 3x

25 = 5x

x = 5

x is the same as side CD, so CD = 5.

Answer Link

Otras preguntas

some One Please Help
Will use us 3/4 cup of olive oil to make three batches of salad dressing how much oil does will use for one batch of salad dressing
a shift in thought can be indicated by the use of
Ben is reading a story that shares the perspectives of many characters. Which type of narrator does this describe?
To increase the brightness of a desk lamp, a student replaces a 50-watt incandescent lightbulb with a 100-watt incandescent lightbulb. Compared to the 50-watt l
what is the answer to 86+632 help pls
What is the value of 7P3 ? A. 21 B. 35 C. 210 D. 840 i think a but idk
how were the covert operations of the CIA in Guatemala and Iran different from the military operations of the United States army in Korea
How is Euglena a heterotroph and a autotroph?
What was a major concern for the Founding Fathers of the United States? a. government that was fair to the people b. acquiring land for settlement c. establi