Respuesta :

Answer:

[tex]m = 7[/tex]

Step-by-step explanation:

Given

[tex]3:18 = m:42[/tex]

Required

Solve for m

[tex]3:18 = m:42[/tex]

Convert to fraction

[tex]\frac{3}{18} = \frac{m}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{3}{18} = \frac{m}{42} * 42[/tex]

[tex]42 * \frac{3}{18} = m[/tex]

[tex]m = 42 * \frac{3}{18}[/tex]

[tex]m = \frac{42 * 3}{18}[/tex]

[tex]m = \frac{126}{18}[/tex]

[tex]m = 7[/tex]