Question

WILL GIVE BRAINLIST do i do 10-x=2?​

Answer 1

Answer:

x = 4

Step-by-step explanation:

DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is

$\frac{BD}{DA}$ = $\frac{BE}{EC}$, thus

$\frac{10-x}{x}$ = $\frac{3}{2}$ ( cross- multiply )

2(10 - x) = 3x ← distribute left side

20 - 2x = 3x ( subtract 3x from both sides )

20 - 5x = 0  ( subtract 20 from both sides )

- 5x = - 20 ( divide both sides by - 5 )

x = 4