What caused the US to enter The Korean War 

In June 1950 communist North Korea invaded South Korea. The United States came to the aid of South Korea at the head of a United Nations force composed of more than a dozen countries. Communist China joined North Korea in the war in November 1950, unleashing a massive Chinese ground attack against American forces.

Explanation:

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b. major john c. frémont led a rebellion called the bear flag revolt.

explanation:

during the bear flag revolt, from june to july 1846, a small group of american settlers in california rebelled against the mexican government and proclaimed california an independent republic. the republic was short-lived because soon after the bear flag was raised, the u.s. military began occupying california, which went on to join the union in 1850. the bear flag became the official state flag in 1911.