Question

answer the questions below.
(a) lena wrote a proof that included a statement about lines.
\line\ is best described as a(n) postulate.
(b) tony claimed that a certain statement about polynomial functions is true. the statement has never been proven.
the statement is best described as a(n) select
(c) salma claimed that a certain statement about rational numbers is true. she was then able to prove that the statement is true.
the statement is best described as a(n) select
(d) shen believes that a certain statement about right triangles is true, although there is no proof that the statement is true.
the statement is best described as a(n) select
(e) lucy read a proof that included a certain statement. the statement is not a definition but is accepted as true without being proven.
the statement is best described as a(n) select

Explanation:

Part (b)

In mathematics, a conjecture is a statement that is believed to be true but has not been proven yet. Since Tony's statement about polynomial functions has never been proven, it fits the definition of a conjecture.

A theorem is a statement that has been proven to be true. Salma was able to prove her statement about rational numbers, so it is a theorem.

A conjecture is a statement that is believed to be true but lacks a proof. Shen believes the statement about right triangles is true but there's no proof, so it's a conjecture.

Answer:

conjecture

Part (c)