<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>
Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Step-by-step explanation:
<u>Start by setting all sides equal to 180</u>
3x - 5 + 7x + 9 + x = 180
<u>Add like terms</u>
11x + 4 = 180
<u>Solve for x</u>
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
<u>Now, plug in 16 for all instances of x on the triangle and solve.</u>
∠L = 43°
∠M = 121°
∠N = 16°
Emily is 12, Samantha is 14, and Lauren is 16. Basically all you do to solve this problem is add numbers that are two apart until you find something.
Ex. 2+4+6=12 4+6+8=18 so on and so forth.
Answer:
In a large population of college students 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the probability that exactly 2 students have experienced math anxiety is:
Step-by-step explanation:
a .3020
b .2634
c .2013
d .5 e 1 the answers is A
I think the answer will be 17 square that what my friend said.
