Final answer:
The true statement about the anaphase-promoting complex is that it promotes the degradation of proteins that regulate M-phase and it is involved in the promotion of the breakdown of cohesins.
Step-by-step explanation:
Among the statements about the anaphase-promoting complex (APC), the true statement is that it promotes the degradation of proteins that regulate M-phase. The APC is a key regulator of the cell cycle, particularly involved in the transition from metaphase to anaphase. It promotes the degradation of various proteins, such as cyclins that are essential for the cell cycle, by marking them for destruction via ubiquitination.
Specifically, APC leads to the destruction of securin, which inhibits separase. Once securin is degraded, separase can then promote the breakdown of cohesins that hold sister chromatids together, allowing the chromatids to separate and proceed to opposite poles of the cell.