Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
Answer:
The two column proof is presented as follows;
The given parameters are;
=
and
=
Statement Reason
=
and
=
Given
≅
Reflexive property
=
By the definition of congruency
ΔADB ≅ ΔCDB By Side-Side-Side (SSS) rule of congruency
ΔADB = ΔCDB By the definition of congruency
If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency
Step-by-step explanation:
Given:
The line passing through (-2,5) and (2,p) has a gradient of .
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
The line passing through (-2,5) and (2,p). So, the slope of the line is:
It is given that the gradient or slope of the line is .
On cross multiplication, we get
Divide both sides by 2.
Therefore, the value of p is 3.