Question

Write the positive value of X will make DE and AB parallel to E

Answer 1

Step-by-step explanation:

In a system of parallel lines,

DC

AD

=

EC

BE

⇒

x+3

8x+9

=

x

3x+4

⇒8x

2

+9x=3x

2

+13x+12

⇒5x

2

−4x−12=0

⇒5x

2

−10x+6x−12=0

⇒5x(x−2)+6(x−2)=0

⇒(5x+6)(x−2)=0

⇒x=−

5

6

,2

Since length cannot be negative, value of x should be 2.