Which of the following would prevent japanese intervention in its neighboring island of the philippines? the gentlemen’s agreement the roosevelt corollary the root-takahira agreement the treaty of portsmouth the teller amendment

I believe the answer is the Root-Takahira Agreement
the Root-Takahira Agreement was enacted in November 30, 1908 in which the Japanese Government first acknowledge the territory of Hawaii and Philipines as  a part of United States' territory. In exchange, Japan require United States to let off our influence in southern Manchuria.