Question

answer the questions below.
(a) bill is trying to prove a statement about all prime numbers that he believes is true. no proof of the statement exists.
the statement is best described as a(n) select
(b) josh proved a certain statement about polynomial functions.
the statement is best described as a(n) select
(c) deon wrote a proof that included the following statement. (the statement formally describes what a right triangle is.)
\a right triangle is a triangle with one right angle.\
the statement is best described as a(n) select
(d) milan wrote a proof that included a certain statement. the statement is not a definition but is accepted as true without any proof.
the statement is best described as a(n) select
(e) in her textbook, lashonda found a proof of a certain statement about right triangles.
the statement is best described as a(n) select

Explanation:

(a) A statement believed to be true but without proof in mathematics is a conjecture.
(b) A proven statement about polynomial functions is a theorem.
(c) A formal description of what a right - triangle is, is a definition.
(d) A statement accepted as true without proof (not a definition) is an axiom.
(e) A proven statement about right - triangles is a theorem.

Answer:

(a) Conjecture
(b) Theorem
(c) Definition
(d) Axiom
(e) Theorem