Final answer:
Mary Cassatt is the American painter who befriended Edouard Manet and Edgar Degas and exhibited with the French Impressionists.
Step-by-step explanation:
The American painter who befriended Edouard Manet and Edgar Degas and exhibited with the French Impressionists is Mary Cassatt. Cassatt, born in America, was the only American artist to be invited to join the group of artists known as the Impressionists. She changed her techniques under the mentorship of Degas and became a successful Impressionist painter and printmaker.