Respuesta :

Answer: 10

Step-by-step explanation:

varies directly means: [tex]\frac{y}{x} = k[/tex]

Step 1: solve for k   ⇒  [tex]\frac{21}{5} = k[/tex]

Step 2: plug in the given value and k to solve for the missing value: [tex]\frac{42}{x} = \frac{21}{5}[/tex]

42(5) = 21(x)

[tex]\frac{42(5)}{21} = \frac{21(x)}{21}[/tex]

2(5) = x

10  = x