If this was your question:
The United States and the Soviet Union avoided nuclear war because they did not engage in ______ with one another. However, both chose to fight ______ wars by providing military assistance to their allies in smaller conflicts.
first blank: an arms race, direct combat, negotiations
second black: scapegoat, proxy, guerilla
Then its Direct combat and proxy.
Explanation:
During the Cold War, there was no direct conflict between the United States and the Soviet Union, in which these two superpowers would have fought directly on the battlefield or already by some of the methods of war at a distance. The conflict of these superpowers during the Cold War was reflected in the arms race, the space program, and the assistance to certain smaller states that were in the war, where superpowers themselves did not participate in the war. Such wars between smaller states and peoples, spurred by superpowers, are proxy wars. Thus, with the end of the Cold War, the number of these proxy wars declined, through which the two superpowers showed their power, and struggled to achieve their influence.