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:
brainly.com/question/11073037
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
Answer:
see the explanation
Step-by-step explanation:
we know that
<u><em>Alternate Exterior Angles</em></u> are created where a transversal crosses two lines. Notice that the two alternate exterior angles are equal in measure if the two lines are parallel
In this problem
----> by alternate exterior angles
One way to verify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles
<h3>
Answer: 28</h3>
==========================================================
Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
----------------------------------
Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
----------------------------------
Method 3
Use the nCr combination formula with n = 8 and r = 2

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.