The main reason that France signed a formal aliance with the colonies during the American Revolution was

because they wanted to lower the influence and strength of Britain, which was regarded as the main opponent of France in this period.

Explanation:

After France was defeated in a war with Britain (French and Indian war) they lost all the territories in North America. Additionally, they were practically embarrassed with that treaty and were just waiting for the opportunity to revenge on them. That opportunity finally came in the American Revolution after the battle of Saratoga. At the end peace treaty was once more signed in Paris, this time France was on the side of winners.

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explanation:

the correct answer option is: weapons.

explanation:

tensions rose as the two opposing superpowers competed for 'weapons'.

referring to the cold war (1945-1991), the two superpowers, usa and ussr, experienced a phase of struggle and conflict with each other. these two superpowers considered each other as a threat to their survival and thus opted for policies to strengthen their positions.

the two superpowers never went to war with each other directly but competed for weapons to preserve their positions.