Final answer:
Both the Virginia House of Burgesses and the Mayflower Compact contributed to the development of representative democracy in the American colonies by establishing forms of self-government through elected representatives.
Step-by-step explanation:
The establishment of the Virginia House of Burgesses was similar to the signing of the Mayflower Compact in that both contributed to the development of representative democracy. The House of Burgesses, formed in 1619, was the first assembly of elected representatives in the New World, setting a precedent for self-government. Similarly, the Mayflower Compact, signed in 1620, established a self-governing colony where laws would be created by elected representatives of the people. Both the House of Burgesses and the Mayflower Compact represent early forms of self-governance and the colonies' step towards independence and self-determination.