Final answer:
Maine is the state that has the Androscoggin River, Kennebec River, Penobscot River, and St. John River. These rivers are significant in Maine's natural landscape and economy.
Step-by-step explanation:
The state that has the Androscoggin River, Kennebec River, Penobscot River, and St. John River is Maine. These rivers are some of the major waterways in the state and play important roles in both the natural landscape and the economy of Maine.
The Androscoggin River flows through cities like Lewiston and Auburn, the Kennebec River passes through the capital city of Augusta, the Penobscot River is the longest river in the state and is known for its recreational opportunities, and the St. John River forms part of the border between Maine and Canada.