The statement that is most evidently represented here is:
A
how military competition between European nations influenced their efforts to explore and conquer the New World
Step-by-step explanation:
Armed enterprise by one sovereign was sure to provoke a counter effort by rivals as given in the passage that all the nations were willing to maintain a balance of power only by the law of the fact that they would have equal influence in the New world.
Thus many rivalries meant that there was constant competition of trying to take over as much land for the country as possible in the New world to do more trade and to gain more power against the rivals who were gaining more power constantly.