Question

Find the value of x.B.X+23EХ2САx = [?]

Answer 1

Answer:

x = 4

Explanation:

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

$\begin{gathered} \frac{BD}{DA}=\frac{BE}{EC} \\ \frac{x+2}{x}=\frac{3}{2} \end{gathered}$

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.