subject
Mathematics, 21.02.2020 03:32 miguelturner

Help me plz Deductive Reasoning
Determine if the conclusion is valid or invalid based on the given statements and the Law of Detachment.

1. Given: If an angle measures more than 90°, then it is not acute.
m∠ ABC = 120°
Conclusion: ∠ ABC is not acute.

2. Given: If two angles measure 45°, then the angles are congruent.
∠ XYZ ≅ ∠ MNP
Conclusion: m∠ XYZ = 45° and m∠ MNP = 45°

3. Given: If you order the apple pie, then it will be served with ice cream.
Matthew ordered the apple pie.
Conclusion: Matthew was served ices cream.

Determine if the conclusion is valid or invalid based on the given statements and the Law of Syllogism.

4. Given: If ∠ A is acute, then ∠ B is obtuse.
If ∠ B is obtuse, then ∠ C is acute.
Conclusion: If ∠ A is acute, then ∠ C is acute.

5. Given: If a ray bisects a right angle, then the congruent angles formed are complementary.
If two congruent angles are complementary, then each angle has a measure of 45°.
Conclusion: If a ray bisects a right angle, then each angle has a measure of 45°.

6. Given: If two angles form a linear pair, then the two angles are supplementary.
If ∠ A and ∠ B are supplementary, then m∠ A + m∠ B = 180°
Conclusion: If m∠ A + m∠ B = 180°, then ∠ A and ∠ B form a linear pair.

Use the Law of Detachment to write the conclusion that follows from the pair of true statements.

7. If the sum of the measures of two angles is 90°, then the angles are complementary.
m∠ A + m∠ B = 90°

Conclusion:

8. If the measure of an angle is between 90° and 180°, then the angle obtuse.
m∠ A = 120°

Conclusion:

Use the Law of Syllogism to write the statement that follows from the pair of true statements.

9. If LK = 5 and MN = 5, then LK = MN.
If LK = MN, then LK ≅ MN

Conclusion:
10. If m∠ A = 35° and m∠ B = 55°, then m∠ A + m∠ B = 90°.
If the sum of the measures of two angles is 90°, then the angles are complementary.

Conclusion:

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 13:30
There are 20 children in the cast of a class play and 8 of the children are boys of the boys 4 have a speaking part in the play and of the girls 8 do not have a speaking part in the play if a child from the cast of the place chosen at random what is the probability that the child has a speaking part
Answers: 1
question
Mathematics, 21.06.2019 18:30
What is the area of the triangle 10 13 12
Answers: 1
question
Mathematics, 21.06.2019 20:30
Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0
Answers: 2
question
Mathematics, 21.06.2019 21:00
How do you write y-10=2 (x-8) in standard form
Answers: 1
You know the right answer?
Help me plz Deductive Reasoning
Determine if the conclusion is valid or invalid based on the...
Questions
question
Mathematics, 02.07.2021 01:00
question
Mathematics, 02.07.2021 01:00
question
Advanced Placement (AP), 02.07.2021 01:00
question
Mathematics, 02.07.2021 01:00
Questions on the website: 13722367