To solve for [tex]\( b \)[/tex] in the equation [tex]\( C = \frac{a + b}{2} \)[/tex], we need to rearrange the equation step-by-step.
1. Start with the given equation:
[tex]\[
C = \frac{a + b}{2}
\][/tex]
2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[
2C = a + b
\][/tex]
3. Next, isolate [tex]\( b \)[/tex] by subtracting [tex]\( a \)[/tex] from both sides:
[tex]\[
2C - a = b
\][/tex]
So, the rearranged equation solving for [tex]\( b \)[/tex] is:
[tex]\[
b = 2C - a
\][/tex]
This matches one of the provided options:
[tex]\[
b = 2C - a
\][/tex]
Thus, the correct answer is:
[tex]\[
b = 2C - a
\][/tex]
