mylifeisnotok mylifeisnotok
  • 21-01-2021
  • Mathematics
contestada

In the figure, ΔABC~ΔADE. Find the length of line segment DE.

In the figure ΔABCΔADE Find the length of line segment DE class=

Respuesta :

AlirezaKhatamian AlirezaKhatamian
  • 21-01-2021

Answer:

13

Step-by-step explanation:

[tex]\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13[/tex]

Answer Link

Otras preguntas

One way in which Otto Von Bismarck and Camilo Cavour are similar is that both leaders
To unravel me You need a simple key, No key that was made By locksmith's hand, But a key that only I Will understand.
What is its function? Jonathan walked behind me.
Which literary movement is characterized by its preference for untamed nature, emotion, and the individual’s imagination?
Which statement best describes the function of arteries, veins, and capillaries in the circulatory system? A. Arteries generally carry oxygen-rich blood awa
what is 2,220.000 and 0.000732 in scientific notation
It took 500-newton ballerina a force of 250 joules to lift herself upward through the air. How high did she jump?
There are five people sitting around the dinner table .each person has 2/10of a pie on their plate .how much pie is left ?explain
What is the rhyme scheme of the excerpt from "The Wreck of the Hesperus"? Colder and colder blew the wind, A gale from the northeast; The snow fell hi
Paul is going to install tiles on the floor of a swimming pool. The swimming pool is 15 meters long by 7 meters wide. A tile costs $6 and covers 1 square meter