Final answer:
The double-layer sheets of serous membrane that support the viscera are called peritoneal sheets. The peritoneum is a broad serous membrane in the abdominal cavity that covers abdominal organs and forms double sheets of mesenteries that suspend many of the digestive organs.
Step-by-step explanation:
The double-layer sheets of serous membrane that support the viscera are called peritoneal sheets. The peritoneum is a broad serous membrane in the abdominal cavity that covers abdominal organs and forms double sheets of mesenteries that suspend many of the digestive organs. These double sheets support and hold the digestive organs in place, providing protection and reducing friction between the organs.