Question

1. a = \frac{1}{2}h(m + n) for m

Explanation:

Step 1: Multiply both sides by 2

To isolate the term with \( m \), we first multiply both sides of the equation \( A=\frac{1}{2}h(m + n) \) by 2. This gives us \( 2A=h(m + n) \).

Step 2: Divide both sides by \( h \)

Next, we divide both sides of the equation \( 2A = h(m + n) \) by \( h \) to get \( \frac{2A}{h}=m + n \).

Step 3: Subtract \( n \) from both sides

Finally, we subtract \( n \) from both sides of the equation \( \frac{2A}{h}=m + n \) to solve for \( m \). This results in \( m=\frac{2A}{h}-n \).

Answer:

\( m = \frac{2A}{h}-n \)