Final answer:
The state with all the listed rivers, which played significant roles in its history, is Virginia.
Step-by-step explanation:
The state that has the James River, Rappanhannock River, Potomac River, Shenandoah River, Roanoke River, York River, Appomattox River, Powell River, Clinch River, and New River is Virginia.
These rivers are significant to Virginia's history, serving as important transport routes and as strategic locations during various historic events, including the early colonization period and the Civil War. For instance, the Rappahannock River was a notable site during the Civil War where fugitive African Americans forded the river seeking Union protection.
One of the state's most historically significant rivers is the James River, named in honor of James I. It was along the James River that Captain Christopher Newport explored and established the Jamestown settlement, which would become the first permanent English settlement in the Americas.
The Potomac River is another notable waterway that forms part of the border between Virginia and Maryland. It is also associated with early American history and figures such as George Washington.