Question

Please help Find the value of x

Answer 1

Value of x is 2

Explanation:

Given

BD = 6

DA = 4

BE =
`x+1`

EC = x

Also segment DE is parallel to segment AC

∴ By using Midpoint theorem which states

`(BD)/(DA)\cong (BE)/(EC)`

Putting the given data in above equation we get

`(6)/(4)=(x+1)/(x)\\6x=4(x+1)\\6x =4x+4\\6x-4x =4\\2x=4\\x= \frac{4}<strong>{2}\\x=2`