The Declaration of Independence primarily relied on natural laws and the concept of popular sovereignty. Natural rights, particularly those articulated by Enlightenment philosophers like John Locke, emphasized that individuals have inherent rights to life, liberty, and the pursuit of happiness, which influenced the document's principles. Additionally, the idea of popular sovereignty is reflected in the belief that governments derive their power from the consent of the governed.
The notion of tyranny of the majority is not a foundational principle in the Declaration, as it generally speaks against oppressive government rather than endorsing mob rule. The Bible did not directly inform the principles of the Declaration, even though religious ideas were part of the broader context of colonial America.
Therefore, the most accurate answers in the context of the Declaration of Independence are popular sovereignty and natural laws.