Answer:
x = 2
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides, thus divides those 2 sides in proportion, that is
[tex]\frac{6}{4}[/tex] = [tex]\frac{x+1}{x}[/tex] ( cross- multiply )
6x = 4(x + 1) , that is
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
