Find the value of x
A. 3 1/3
B. 3 2/3
C. 4 2/3
D. 4 4/5

Answer:
[tex]\large\boxed{A.\ 3\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The segments are in proportion:
[tex]\dfrac{x}{5}=\dfrac{4}{6}[/tex] cross multiply
[tex]6x=(5)(4)[/tex]
[tex]6x=20[/tex] divide both sides by 6
[tex]x=\dfrac{20}{6}\\\\x=\dfrac{10}{3}\\\\x=3\dfrac{1}{3}[/tex]