Final answer:
The New-Babylon Empire and the Sumerians both used cuneiform as their writing system. This script was an essential part of the cultural and intellectual heritage that the Babylonians inherited from the Sumerians. Therefore, the correct answer is (A) New Babylon used cuneiform.
Step-by-step explanation:
One of the shared achievements between the New-Babylonian Empire and the Sumerians is the use of cuneiform as their writing system. Cuneiform, characterized by its unique wedge-shaped symbols, was originally developed by the Sumerians and continued to be used by subsequent Mesopotamian civilizations, including the Babylonians. The Babylonian Empire, which rose to prominence centuries after the Sumerian civilization had waned, inherited and preserved many of the cultural and technological innovations of the Sumerians, such as writing, literature, and mathematical systems.
New Babylon, after Hammurabi's reign, further adapted Sumerian cuneiform for their own use, even as they developed other aspects of their society and statecraft. Notably, the Babylonians made significant contributions to the fields of law, as in Hammurabi's Code, and to mathematics and astronomy, maintaining the sexagesimal system (based on 60) that had been established by previous cultures for measuring time and geometric angles. Thus, when considering the achievements shared by New Babylon and the Sumerians, the correct choice would be (A) New Babylon used cuneiform.