Theorems and Proof

The value of $c$ in Lagrange's theorem for the function $f\left(x\right)=\left|x\right|$ in the interval $\left[-1, 1\right]$ is

Lagrange's theorem cannot be applied for

Statement: 'Things which are equal to the same things are equal to one another'

Is it an axiom or theorem?

Give the proof of the theorem that the sum of the angle of triangle is $180°$.

Prove the Pythagoras theorem in order to state that theorem are to be proven.

Every even number is divisible by two. $1986$ is an even number. It is divisible by two.

Identify the reasoning process.

Jim has $20$ pencils. He gives half of them to Dan. Jim has $10$ pencils left.

According to angle sum property, the sum of angles in any triangle is 

Identify whether the given statement "The whole is greater than a part" is a conjecture, axiom or theorem.

Identify whether the given statement "Things which coincide with one another are equal to one another" is a conjecture, axiom or theorem.

Identify whether the given statement "Things which are equal to the same thing are equal to one another" is a conjecture, axiom or theorem.

Makarsankranthi falls on a Friday.

Dogs can fly. This statement is

February has only $28$ days. This statement is

$a^m\times a^n=a^{m+n}$, where $a,m,n\in N$

The given mathematical statement in words is

Cotyledons are also called-