What is the contrapositive of the following statement?
1 answer:
Answer:
For the statement;
If M is the midpoint of , then
is congruent to
The contrapositive statement is therefore;
If M is not the midpoint of , then
is not congruent to
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
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Answer:
a) 0∘ and 360∘
b) 300∘ and 60∘
c) 90∘ and 270∘
d) 180∘
Step-by-step explanation:
θ(0<=θ<=360∘)
then
a)
F=1/2(1−cosθ)
Putting F= 0
we get
0 = 1/2 (1−cosθ)
(1−cosθ) = 0
cosθ = 1
θ = (1)
= 0∘ and 360∘
b) If F = 0.25
then putting values
1/4 = 1/2 (1−cosθ)
(1−cosθ) = 1/2
cosθ = 1/2
θ = (1/2)
= 300∘ and 60∘
c) If F = 0.5
then putting values we get
1/2 = 1/2 (1−cosθ)
(1−cosθ) = 1
cosθ = 0
θ = (0)
= 90∘ and 270∘
d) If F = 1
then putting values we get
1 = 1/2 (1−cosθ)
(1−cosθ) = 2
cosθ = -1
θ = (-1)
= 180∘
So after these calculation we determine the vales of angles that are given uper.