The inverse, converse and contrapositive of a statement are used to determine the true values of the statement
<h3>How to determine the inverse, converse and contrapositive</h3>
As a general rule, we have:
If a conditional statement is: If p , then q .
Then:
- Inverse -> If not p , then not q .
- Converse -> If q , then p .
- Contrapositive -> If not q , then not p .
Using the above rule, we have:
<u>Statement 1</u>
- Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
- Converse: If a parallelogram is a rectangle, then it has a right angle.
- Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.
All three statements above are true
<u>Statement 2</u>
- Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
- Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
- Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another
All three statements above are also true
Read more about conditional statements at:
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We want to use the Substitution method to solve
7x - 2y = 1 (1)
x - 2y = 1 (2)
From equation (1), obtain
2y = 7x - 1 (3)
Substitute (3) into (2).
x - (7x - 1) = 1
-6x + 1 = 1
-6x = 0
x = 0
From (3), obtain
2y = 7*0 - 1 = -1
y = -1/2
Answer: (0, -1/2) or x=0, y= -1/2.
Hello!
Here is how we solve this question.
We know that 2 shoes = 1 pair
So we subtract 2 from 16 until we reach 0, and count how many times we subtracted.
16-2=14
14-2=12
12-2=10
10-2=8
8-2=6
6-2=4
4-2=2
2-2=0
After we do repeated subtraction we find that Abigail has 8 pairs of shoes!
Hope this helps you with your question.
The probability of event A and event B IS 15/91.
What is the probability?
Probability determines the odds that a random event would occur. The odds lie between 0 and 1.
The probability of event A = number of brown marbles / total number of marbles
= 6/14
The probability of event B = number of orange marbles / total number of marbles -1
= 5/13
P(A and B) =6/14 x 5/13
= 30/182
= 15/91
To know more about probability visit:
brainly.com/question/3142525
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To your question, "K<-5", that is the answer. So the answer is K<-5
