Final answer:
The US demonstrated the enforcement of the Roosevelt Corollary through its actions in 1905.
Step-by-step explanation:
The actions of the US in 1905, when it paid off the debts owed by the Dominican Republic to European creditors and took over its customs houses, demonstrated option d) The US would enforce the Roosevelt Corollary and prevent European interference in the Western Hemisphere.
The Roosevelt Corollary was an extension of the Monroe Doctrine and asserted the right of the US to intervene in the affairs of Latin American nations to maintain stability in the region. By taking control of the customs houses, the US aimed to ensure repayment of loans and protect its interests. This action was seen as a form of economic imperialism by Latin American countries.