4 and 5
ethos
pathos
Logos

4. Logos.

5. Ethos

Explanation:

The above answers are correct.

Logos is known to be a rhetorical appeal which is aimed at convincing the audience by the use of logic and reason. It is also known as "logical appeal". It involves the use of facts, figures, statistics, charts, and graphs. So, the politician using facts and figures in her speech is actually using logos.

Ethos is known to be a rhetorical appeal that appeals to an audience by showing credibility. In ethos, there is the use of superior character of a personality in order to show credibility or reliability of the person, product or organization involved. As the politician lists organizations and experts that supports her and will vote for her, she uses ethos to show credibility.