The prokaryotes in figure 2 live in extremely hot deep-sea vents. these prokaryotes do not have peptidoglycan in their cell walls. using these clues, you can conclude that these prokaryotes

A. Are classified in the Domain Archaea

Explanation:

Your clues for this is:

Extremely hot

do not have peptidoglycan in the cell walls

These are characteristics of the prokaryotes under the Domain Archaea. These characteristics also differentiate them from the prokaryotes of Domain Bacteria.

Prokaryotes under the Domain Archaea are known for being able to thrive in extreme environments, both hot and cold. They also do not have peptidoglycan in the cell walls, instead they only have S-layers or surface layers.  

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the cell cycle is the final answer! : )