What is x given ABC~DBE.
Show your work

x = 37.5 (or)

Solution:

Given

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

Do cross multiplication, we get

Subtract 30x from both sides of the equation.

Divide by 20 on both sides of the equation, we get

x = 37.5 (or)

Hence the value of x is 37.5 or .

final answer is : )