Question

how did galileo increase public support for copernicuss model?
by publishing his work in italian
by using data collected by tycho brahe
by explaining why planets appear to move backward
by arguing that earths rotation makes objects appear to move in the sky

Explanation:

Galileo published his work in Italian, making it accessible to a wider audience beyond the Latin - speaking scholars. Tycho Brahe's data was used by Kepler. The explanation of retrograde motion (planets appearing to move backward) was part of Copernicus' model itself. The argument about Earth's rotation making objects appear to move in the sky was not the main way he increased public support.

Answer:

by publishing his work in Italian