Question

What values of x will make DE || AB in the given figure?

Answer 1

If  `DE|| AB`, then

`(CE)/(CB)=(CD)/(AC)`

`X/(X+3x+4)=(x+3)/(4x+22)`

`x/(4x+4)=(x+3)/(4x+22)`

`x xx(4x+22)=xx+3xx(4x+4)`

`4x^2+22x=4x^2+12x+4x+12`

`cancel(4x^2)+22x=cancel(4x^2)+12+4x+12`

`22x=16x+12`

`22x-16x=12`

`6x=12`

`x=12/6`

`x=2`

Hence, the value of x is  2.