Sonia is a math scholar and is addressing a gathering of undergraduate students. She presents one of her theorems for which she has gained worldwide recognition. Sonia supports her theorem using mathematical derivations. In this scenario, Sonia uses the rhetorical appeal of .

Logos(logical appeal)

Explanation:

'Logos'(logical appeal) is one of the three rhetorical devices proposed by Aristotle to persuade readers, the other two are ethos(ethical appeal) and pathos(emotional appeal).

In the given case, Sonia is using 'logos' or the 'logical appeal' as she employs factual mathematical derivations to support her theorem. Since she substantiates her claims reasonably and persuades the audience logically instead of using her character(globally recognized), the rhetorical device is 'logos.'

b)metaphor

explanation:

when reading the sentence carefully it says,"hope is a thing with feathers" it's like saying: hope is a thing like feathers

get what i'm saying? instead of using a smilie like or as they use "with"

it would be nice enough if i got .