\( \begin{array}{l}\text { From the standpoint of Imperial General Headquarters, based on the assumption } \\ \text { that a peaceful solution has not been found and war is inevitable, the Empire's } \\ \text { oil supply, os well as the stockpiles of many other important war materials, is } \\ \text { decreasing day by day with the result that the national defense power is } \\ \text { graduolly diminishing. If this deplorable situation is left unchecked, I believe } \\ \text { that, after a lapse of some time, the nation's vitality will deteriorate and } \\ \text { ultimately fall into dire straits. } \\ \text {-Admiral Osami Nagano at the Imperial Conference } \\ \text { of September 6, 1941, in Tokyo, Japan }\end{array} \) They signed a treaty of alliance with Nazi Germany. They sent submarines to the West Coast of the United States. They invaded the Soviet Union.

1. **Analysis of the Quote and Context** The quoted excerpt by Admiral Osami Nagano, given at the Imperial Conference on September 6, 1941, reflects Japan’s strategic concerns. It mentions dwindling resources such as oil and other war materials, implying an urgent need to secure resources and strengthen national defense in anticipation of prolonged war. This context frames Japan’s subsequent military and diplomatic decisions. 2. **Evaluating the Three Statements** **a. Signing a Treaty of Alliance with Nazi Germany** Japan indeed forged an alliance with Nazi Germany. The Tripartite Pact, signed in September 1940, established an alliance between Japan, Nazi Germany, and Fascist Italy. This step was taken partly to secure support in Japan’s strategic position, especially in light of resource constraints. \[ \text{This statement is true.} \] **b. Sending Submarines to the West Coast of the United States** During World War II, Japan carried out naval operations including the deployment of submarines in the Pacific Ocean. Japanese submarines did conduct patrols and attacks along the U.S. West Coast, targeting Allied shipping and military facilities. \[ \text{This statement is true.} \] **c. Invading the Soviet Union** Although Japan and the Soviet Union had border clashes, notably the Battle of Khalkhin Gol in 1939, Japan did not launch a full-scale invasion of the Soviet Union during the period under consideration. Instead, Japan focused its military strategies on southern expansion and other fronts, while the Soviet Union remained largely out of its primary operational zone until the Soviet declaration of war in August 1945 on Japan in Manchuria. \[ \text{This statement is false.} \] 3. **Conclusion** Based on the analysis: - Japan did sign a treaty of alliance with Nazi Germany. - Japan did send submarines to the West Coast of the United States. - Japan did not invade the Soviet Union in the context described by the quote. Thus, the actions corresponding to historical facts are the first two statements, while the third statement is not accurate.