The most important way in which the greeks influenced American democracy was by allowing citizens to participate in government.
All members of society both rich and poor except for women were able to participate in government. Ancient Greece was a model for the U.S. government, but the founders left a few things out.
Very significant aspects of the American political system (from popular referendums to secret ballots to jury duty) derive from ancient Greek precedents.
The number of representatives a state gets is based on the population number in that state
Franklin Delano Roosevelt
The concept of separation between religion and state wasn't valued in Ancient Egypt. Therefore, the two were heavily interconnected.
One of the traditions of the religion of the Ancient Egyptians was that the Pharaoh was the living embodiment of the god Horus, who was believed to be a god of birthright, among other things. After the Pharaoh's death, he/she was identified with the god of the Underworld, Osiris. Thus, the living ruler was divine, and his word was the word of the gods.