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
Sedbober [7]
3 years ago
11

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o

f each. If a statements truth value is false, give a counterexample
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









You might be interested in
Please help me answer this with the correct answer :)
Andru [333]

Answer:

A.

Step-by-step explanation:

Amber get $150 per week no matter wut and +$10 per tree sold so if she sells 5 trees she gets a total of $200

Jorge gets $25 per tree sold and an extra $75at the end of the week so 25(5)=125+75=200 so they both end up with $200 at the end of the week

4 0
3 years ago
Evaluate 7m + 3mn when m=8 and n=14
Murrr4er [49]

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

3 0
3 years ago
Which percent is equivalent to 5/9?
o-na [289]
Common Fractions with Decimal and Percent<span> Equivalents ... </span>5/9<span>, 0.555… ... Tables and Formulas · Common Repeating Decimals and Their </span>Equivalent<span> Fractions ...</span>
3 0
3 years ago
Read 2 more answers
Pls help im rlly confused
irina1246 [14]

Answer:

the y intercept is (0,29)

3 0
2 years ago
a recipe uses 5 cups of flour for every 2 cups of sugar how much flour is needed for 7 cups of sugar​
xxTIMURxx [149]

Answer: 17.5 cups

Step-by-step explanation:

7/2=3.5

5 x 3.5=17.5

3 0
3 years ago
Other questions:
  • Answer please point-slope
    13·1 answer
  • How can you use fractions to place the decimal point in the product?
    14·1 answer
  • Choose the best answer from among choices below. A police department wants to find out if a correlation exists between x = the n
    13·1 answer
  • A survey of people on pizza preferences indicated that 55 percent preferred pepperoni only, 30 percent preferred mushroom only,
    11·1 answer
  • The measure of&lt;ABC is 102°, find the measure of &lt;DBC
    7·1 answer
  • The function f(x))<br> X. F (x)<br> -6 1<br> -3 2<br> 2. 5<br> 5. 3<br> 8. 0
    9·1 answer
  • (09.07 LC) In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known
    13·1 answer
  • Look at pic 10 pts will mark brainilest
    6·1 answer
  • Please help with this​
    9·1 answer
  • The sum of two numbers is 262. The difference of those same two numbers is 172. Which answer choice shows both numbers?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!