Answer: hope this helps!
Explanation: Question 1: The battle of Saratoga was the battle that proved to the French that the Americans could win the Revolutionary War.
Question 2: The "shots heard around the world" were shot at Lexington.
Question 3: The battle of Yorktown was the battle in which Americans and the French surrounded the British forcing them to surrender.
Question 4: The Americans gained complete independence from Britain from the Treaty of Paris. So, the last option would be correct.
Question 5: The Hessians, also known as the 30,000 German troops hired by the British to help fight the American Revolution.