Answer:
x = 6 , x = 4
Step-by-step explanation:
A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is
[tex]\frac{x}{18}[/tex] = [tex]\frac{28-21}{21}[/tex] = [tex]\frac{7}{21}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = 18 ( divide both sides by 3 )
x = 6
(14)
[tex]\frac{x+5}{15}[/tex] = [tex]\frac{5x+1}{35}[/tex] ( cross- multiply )
15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides
75x + 15 = 35x + 175 ( subtract 35x from both sides )
40x + 15 = 175 ( subtract 15 from both sides )
40x = 160 ( divide both sides by 40 )
x = 4
