1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
3 years ago
12

What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0
<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.
</span>
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>
</span>
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>
You might be interested in
What is the measure of the exterior angle?
Nastasia [14]

Answer:

the measure of the exterior angle is 87 degrees.

8 0
2 years ago
A company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.
Goryan [66]

Answer:

$12.6 after marking it up by 90%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Dont skip help me plzzz will mark brainliest
Yakvenalex [24]

Answer:

(6,-6)

Step-by-step explanation:

well if you count over to the right 6 and down 6 that points would be

(6,-6)

3 0
3 years ago
Read 2 more answers
Melissa has $100 in the bank. She plans to deposit $40 per week until she reaches $500. What is the rate of change? Explain what
Wewaii [24]

Answer:

$40 per week

Step-by-step explanation:

Step one:

Given data

the initial amount is = $100

the total amount= $500

let the number of weeks be x

Step two:

The expression for the scenario is

500= 100+40x-------1

From the expression above, the rate of the change is $40 per week.

this means that in every week the account will be increased by $40

5 0
2 years ago
The table below displays the number of games in each
miss Akunina [59]

Answer:

  • median is 4 mode is 6 mean is 4.111

Step-by-step explanation:

mode is most appearing median is number in the middle mean is the average of the set of data

5 0
3 years ago
Other questions:
  • How do I solve 11x - 2 = -13
    9·1 answer
  • What same number goes into both 75 and 25?
    14·1 answer
  • 11.1 in expanded form and word form?
    6·2 answers
  • what is the probability of drawing 1 red marble and 3 blue marbles when given 10 red marbles and 7 blue marbles?
    5·1 answer
  • What is (4a²)³÷8a²? can you please answer in normal number form (not like 3²)
    13·1 answer
  • What is the value of X?
    8·1 answer
  • does a polygon have at least 3 straight sides and angles or is it a figure with at least three sides?
    7·2 answers
  • inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational​
    5·1 answer
  • Helpp!!<br><br> Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
    13·1 answer
  • What is the equation of the graphed line written in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!