Final answer:
The Governor requires the advice and consent of the Senate (option C) when appointing the members of the Board, reflecting the checks and balances in governmental appointments at both state and federal levels.
Step-by-step explanation:
The correct answer to the question “The Governor appoints the members of the Board with the advice and consent of the_______.” is (C) Senate. This process is part of the checks and balances within the government to ensure that appointments for important positions, such as those in the executive department, judiciary, or certain regulatory commissions, are made with a broader consensus. The secretary of state, for instance, is a major executive position appointed by the Governor, but requires the advice and consent of the Senate. Likewise, federal judges and commissioners on federal agencies are nominated by the President and must be confirmed by the Senate, emphasizing the important role the Senate plays in these appointments.