Answer:
x = 4
Step-by-step explanation:
Since ∆ABC ~ ∆DBE, therefore:
[tex] \frac{10 - x}{x} = \frac{3}{2} [/tex]
Cross multiply
[tex] 2(10 - x) = 3(x) [/tex]
[tex] 20 - 2x = 3x [/tex]
Add 2x to both sides
[tex] 20 - 2x + 2x = 3x + 2x [/tex]
[tex] 20 = 5x [/tex]
Divide both sides by 5
4 = x
x = 4
