Answer:
The statement 
is a contingency.
The statement 
is a contradiction.
Step-by-step explanation:
A tautology is a proposition that is always true.
A contradiction is a proposition that is always false.
A contingency is a proposition that is neither a tautology nor a contradiction.
a) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Commutative law.
by the Negation law.
Therefore the statement is a contingency.
b) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Negation law.
Therefore the statement is a contradiction.
<u>I believe I have to calculate the area of the shape. I'll do that.</u>
Answer:
<em>Total area = 23.04 square m</em>
Step-by-step explanation:
<u>Area of a compound shape</u>
The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.
The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m
The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:
A1 = 5.2 m * 3.2 m = 16.64 square m
A2 = 2 m * 3.2 m = 6.4 square m
The total area is:
At = 16.64 square m + 6.4 square m = 23.04 square m
Total area = 23.04 square m
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
Answer:
not a function because the points' x-values repeats
Step-by-step explanation:
