Question

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

Answer 1

`\large\boxed{A.\ 3(1)/(3)}`

Explanation:

The segments are in proportion:

`(x)/(5)=(4)/(6)` cross multiply

`6x=(5)(4)`

`6x=20` divide both sides by 6

`x=(20)/(6)\\\\x=(10)/(3)\\\\x=3(1)/(3)`