Question

Find the value of x.

Answer 1

x = 4

Explanation:

DE║AC ⇒ From Thales:
`(BD)/(BE)=(DA)/(EC)`

Therefore:

`(10-x)/(3)=\frac{x}2\\\\2(10-x)=3x\\\\20-2x=3x\\\\20=5x\\\\x=4`