Question

Please help Find the value of x

Answer 1

Answer:

Value of x is 2

Step-by-step 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

$\frac{BD}{DA}\cong \frac{BE}{EC}$

Putting the given data in above equation we get

$\frac{6}{4}=\frac{x+1}{x}\\6x=4(x+1)\\6x =4x+4\\6x-4x =4\\2x=4\\x= \frac{4}{2}\\x=2$