with which type of galaxy is a small galaxy most likely to merge? select the two correct answers

a nearby galaxy
a much larger galaxy
a fast-moving galaxy
an equal-sized galaxy

A much larger galaxy and an equal-sized galaxy are the correct answers.

A small galaxy is most likely to merge with:

1. A nearby galaxy: Proximity plays a significant role in the likelihood of galaxy mergers. Small galaxies are more likely to interact and merge with nearby galaxies compared to those that are farther away.

2. A much larger galaxy: The gravitational pull of a larger galaxy can influence and eventually merge with a smaller galaxy. The larger galaxy's gravitational force can disrupt the smaller galaxy, causing it to be absorbed and merged into the larger one.

Therefore, the correct answers are:
- A nearby galaxy
- A much larger galaxy

To determine which type of galaxy a small galaxy is most likely to merge with, we need to consider various factors such as proximity, size, and velocity.

1. A nearby galaxy: Small galaxies are more likely to merge with nearby galaxies because gravitational interactions are stronger over shorter distances. Therefore, a nearby galaxy is a correct answer.

2. A much larger galaxy: When a small galaxy encounters a much larger galaxy, the gravitational forces exerted by the larger galaxy can easily overpower the small galaxy, causing a merger. Thus, a much larger galaxy is also a correct answer.

3. A fast-moving galaxy: The velocity of a galaxy plays a role in merger events. If a small galaxy encounters a fast-moving galaxy, the relative velocities can prevent a merger. Hence, a fast-moving galaxy is not likely to be one of the correct answers.

4. An equal-sized galaxy: During a merger, galaxies need a significant difference in their sizes to drive the process. If two galaxies are of equal size, the merger would result in a less defined structure. Therefore, an equal-sized galaxy is not likely to be one of the correct answers.

Based on the above considerations, the correct answers are:

- A nearby galaxy
- A much larger galaxy