HELP ME PLEASE. WORK SHOWN PLEASE

Answer:
see explanation
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally,
(1)
[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{x}[/tex] ( cross multiply )
x = 4
(3)
[tex]\frac{8}{x}[/tex] = [tex]\frac{14}{49-14}[/tex], that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{14}{35}[/tex] ( cross- multiply )
14x = 280 ( divide both sides by 14 )
x = 20