Answer:
3 1/3
10/3
3.333
Step-by-step explanation:
These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.
Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.
Side AC corresponds with DE
Side AB corresponds with BE
Side BC corresponds with BD
So we can use this proportion theorem, or angle bisector theorem
[tex]\frac{ac}{ab}=\frac{de}{be}[/tex]
Plug in the numbers.
[tex]\frac{3}{5} =\frac{2}{x}[/tex]
Cross multiply
3x=10
x=10/3
Simplify is
3 1/3
As a decimal it equal 3.333
