Question

when tycho observed the new star of 1572, he could detect no parallax. why did that result undermine belief in the ptolemaic system?
this star is planet - like.
this star is closer than the moon and thus stars are not all at the same distance.
this star is farther away than the moon and thus the heavens are not perfect and unchanging.
this star is farther away than the moon and thus the heavens are perfect and unchanging.
this star is closer than the moon and thus smaller than other stars.

Explanation:

The Ptolemaic system held that the heavens were perfect and unchanging, with celestial - bodies in fixed positions. If a new star was far away (as the lack of parallax suggested), and it appeared suddenly, it undermined the idea of the unchanging heavens.

Answer:

This star is farther away than the moon and thus the heavens are not perfect and unchanging.