Answer:
Value of x is 2
Step-by-step explanation:
Given
BD = 6
DA = 4
BE = [tex]x+1[/tex]
EC = x
Also segment DE is parallel to segment AC
∴ By using Midpoint theorem which states
[tex]\frac{BD}{DA}\cong \frac{BE}{EC}[/tex]
Putting the given data in above equation we get
[tex]\frac{6}{4}=\frac{x+1}{x}\\6x=4(x+1)\\6x =4x+4\\6x-4x =4\\2x=4\\x= \frac{4}{2}\\x=2[/tex]
