Write the negation, contrapositive, converse, and inverse for the following statement. (assume that all variables represent fixed quantities or entities, as appropriate.) if n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Step-by-step explanation:

Given is a statement as

If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Negation:

If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.

Contrapositive :

If a number n is not divisible by 2 and 3, then n is not divisible by 6.

Converse:

If n is divisible by 2 and n is divisible by 3, then n is divisible by 6

Inverse:

If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.

answer:

sometimes

*i think

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)