Match each of 1 -6 with its appropriate definition from the list A - F below. 1. Axiom
2. Corollary
3. Contradiction
4. Tautology
5. Theorem
6. Lemma

a. An elementary mathematical truth that is assumed self-evident and not in need of proof.
b. A theorem that is an immediate consequence (and perhaps special case) of another theorem.
c. A proposition that is always false.
d. A proposition that is always true.
e. An important true mathematical statements.
f. A theorem that is needed as a stepping stone to prove a greater theorem.

1. Axiom

Appropriate definition: An elementary mathematical truth that is assumed self-evident and not in need of proof (a).

2. Corollary

Appropriate definition: A theorem that is an immediate consequence (and perhaps special case) of another theorem (b).

3. Contradiction

Appropriate definition: A proposition that is always false (c).

4. Tautology

Appropriate definition: A proposition that is always true (d).

5. Theorem

Appropriate definition: An important true mathematical statements (e).

6. Lemma

Appropriate definition: A theorem that is needed as a stepping stone to prove a greater theorem (f).

x

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: