To solve the given formula for [tex]\( m \)[/tex], we can follow these steps:
1. Start with the original formula for the perimeter of the pentagon:
[tex]\[
P = 5(m + 10)
\][/tex]
2. The goal is to isolate [tex]\( m \)[/tex]. Begin by distributing the 5 on the right side of the equation (although distribution here is straightforward, we need the correct rearrangement):
[tex]\[
P = 5m + 50
\][/tex]
3. To isolate [tex]\( m \)[/tex], first subtract 50 from both sides of the equation:
[tex]\[
P - 50 = 5m
\][/tex]
4. Next, divide both sides of the equation by 5 to solve for [tex]\( m \)[/tex]:
[tex]\[
m = \frac{P - 50}{5}
\][/tex]
Thus, the equation that shows the original formula [tex]\( P = 5(m + 10) \)[/tex] solved for [tex]\( m \)[/tex] is:
[tex]\[
m = \frac{P - 50}{5}
\][/tex]
So the correct choice is:
[tex]\[
\boxed{B \; m = \frac{P - 50}{5}}
\][/tex]
