Question

Find the value of x.
B.
X+2
3
E
Х
2
С
А
x = [?]

Answer 1

x = 4

Step-by-step explanation:

Since segment DE is parallel to AC, we can use Thales theorem and write the following equation:

`\begin{gathered} (BD)/(DA)=(BE)/(EC) \\ (x+2)/(x)=(3)/(2) \end{gathered}`

Then, we can solve for x if we cross multiply as:

`\begin{gathered} 2(x+2)=3(x) \\ 2x+2(2)=3x \\ 2x+4=3x \\ 2x+4-2x=3x-2x \\ 4=x \end{gathered}`

Therefore, the value of x is 4.