<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
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The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
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The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
A is the answer!! Hope it helps
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
For a:
(2400*2*PI)/60(seconds) = 80 PI RAD/Sec
For b:
arc length s= radius r * central angle(in radians)
= ((80*pi*7.5)/(2*pi)
=25
Answer:
<u>Hanna is 8 years old.</u>
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = <u>8</u>.
Hanna is <u>8 years</u> old.
