Answer:
A)
![27 = b + 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/nu2qouozyq0tg9hslqs3i9ivpwo2aiik3v.png)
![b=18](https://img.qammunity.org/2022/formulas/mathematics/high-school/98yeviqsfwtfppw4w89ipw9o73pptrenda.png)
Explanation:
When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:
![27 = b + 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/nu2qouozyq0tg9hslqs3i9ivpwo2aiik3v.png)
Use inverse operations to solve this equation,
![27 = b + 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/nu2qouozyq0tg9hslqs3i9ivpwo2aiik3v.png)
![-9](https://img.qammunity.org/2022/formulas/mathematics/high-school/tdpfcl617522re7qbwl33ijj2r21ajsywz.png)
![18 = b](https://img.qammunity.org/2022/formulas/mathematics/high-school/slyxznwcwb3yg4m7y1icaou5bnsi1u8s85.png)