For each of the following statements, write negation, contrapositive, converse and inverse. if p is a square, then p is a rectangle .if n is prime, then n is odd or n is 2 .if 2 is a factor of n and 3 is a factor of n, then 6 is a factor of n

Step-by-step explanation:

Consider the provided information.

For the condition statement or equivalent "If p then q"

Part (A) If P is a square, then P is a rectangle.

Here p is "P is a square", and q is "Hill and P is a rectangle".

Negation: P is a square and P is not a rectangle.

Contrapositive: If P is not a rectangle then p is not a square.

Converse: If P is a rectangle then P is a square.

Inverse: If P is not a square then P is not a rectangle.

Part (B) If n is prime, then n is odd or n is 2

Here p is "n is prime", and q is "n is odd or n is 2".

Negation: n is prime and n is even and n is not 2.

Contrapositive: If n is not odd or n is not 2 then n is not prime.

Converse: If n is odd or n is 2 then n is prime.

Inverse: If n is not prime, then n is not odd or n is not 2.

Part (C) If 2 is a factor of n and 3 is a factor of n, then 6 is a factor of n.

Here p is "2 is a factor of n and 3 is a factor of n", and q is "6 is a factor of n".

Negation: 2 is a factor of n and 3 is a factor of n and 6 is not a factor of n.

Contrapositive: If 6 is not a factor of n then 2 is not a factor of n and 3 is not a factor of n.

Converse: If 6 is a factor of n then 2 is a factor of n and 3 is a factor of n.

Inverse: If 2 is not a factor of n and 3 is not a factor of n, then 6 is not a factor of n

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it