Final answer:
The Law of Syllogism allows us to make logical deductions based on two conditional statements that share a common term. The correct option is A.
Step-by-step explanation:
The Law of Syllogism allows us to make a logical deduction when we have two conditional statements that share a common term. In this case, the common term is 'you are a musician'. Let's break down the given statements:
- If you play the flute, then you are a musician.
- If you are a musician, then practicing will help you improve.
Using the Law of Syllogism, we can conclude that if you play the flute, then practicing will help you improve. This is because we can link the two statements by the common term 'you are a musician'. Since both statements are true, the conclusion is also true.
So the correct answer is A. If you play the flute, then practicing will help you improve.