jamielyn22 jamielyn22
  • 25-05-2018
  • Mathematics
contestada

What is the value of x given that AE || BD

What is the value of x given that AE BD class=

Respuesta :

DelcieRiveria DelcieRiveria
  • 26-03-2019

Answer:

The value of x is [tex]7\frac{4}{5}[/tex].

Step-by-step explanation:

Given information: AE || BD

So, the triangle ACE and BCD are similar triangle, therefore their corresponding sides are proportional.

[tex]\frac{AC}{BC}=\frac{EC}{DC}[/tex]

[tex]\frac{AB+BC}{BC}=\frac{ED+DC}{DC}[/tex]

[tex]\frac{x+13}{13}=\frac{3+5}{5}[/tex]

[tex]5(x+13)=13\times 8[/tex]

[tex]5x+65=104[/tex]

[tex]5x=39[/tex]

[tex]x=\frac{39}{5}=7\frac{4}{5}[/tex]

Therefore the value of x is [tex]7\frac{4}{5}[/tex].

Answer Link

Otras preguntas

After the rescue, Mr. Capuzzo texted his mother and friend, saying, “Guy fell so I had to jump on the tracks.” What does this statement reveal regarding the min
m∠A=(y−16)° plese help me i really need this answer
can 24 divide evenly n2 1240
solve for x x over 7 = 6
What is happening to the rivers as a result of the shrinking glaciers?
its 8th grade math i did not pay attention
Scientists used to believe that chemical reactions fueled the sun. Why did this lead them to believe that the sun was very young? What kind of reactions do we n
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 46-m-by-46-m square. Val says the area is 1,20
Please answer this question, will give brainliest!!
Tone should not be confused with _____ which refers to the feeling the reader gets from the writer’s words.