The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.
The converse of p ⇒ q is q ⇒ p.
The contrapositive of p ⇒ q is ¬q ⇒ ¬p.
Then
• the inverse of the inverse of p ⇒ q is p ⇒ q
• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p
• the inverse of the contrapositive of p ⇒ q is q ⇒ p
46
When it says f(4) that means x=4
So you then just fill in all the x’s with 4’s and solve as normal
The answer is 8.9 units
4^2+8^2=x^2
80=x^2
8.9≈x
Answer:
The correct answer is 3πcm
Step-by-step explanation:
The length of an arc is calculated using the formula P=∅/360×2πr
where ∅is the angle the arc subtends at the center of the circle, and r is the radius of the circle of which the arc is part.
2r gives the diameter which from the diagram corresponds to AB=36 cm
therefore P=30/360×π×36
=3πcm
9514 1404 393
Answer:
Step-by-step explanation:
The angles marked with x-expressions are complementary, so ...
(3/4x -2) + (2/5x) = 90
x(3/4+2/5) = 92 . . . . . . . add 2
x(23/20) = 92 . . . . . . . . combine the fractions
x = 92(20/23) . . . . . . . . multiply by 20/23
x = 80
__
The angle marked y° is a vertical angle with the angle that is the sum of 90° and (2/5x)°. So, the value of y is ...
y = 90 + 2/5(x) = 90 +2/5(80) = 90 +32
y = 122
