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Thanks all

 

1.Yasmin determined that if <1 and <2 are supplementary angles, and m<2 =34 degrees, then m<1=146 degrees 

 

What type of reasoning did she use?

 

algebraic reasoning

inductive reasoning

direct reasoning

deductive reasoning

 

2.For the conditional statement, "if you fly from new york to californi, then you travel from east to west," which other form of the conditional must be true?

 

Options

If you do not fly from new york to california, then you do not fly from east to west

if you fly from new york to california, then you fly from south to north

if you travel from east to west, then you fly from new york to california

if you do not travel from east to west, then you do not fly from new york to california

 

3.

Which statement is a conditional statement that has a conjunction in the hypothesis?

If i go to the beach or if i go to the pool, then i will bring my book

if i finish my work and it isnt too late, then i will go to the movies

if the lake is frozen, then we will go ice skating

we had hamburgers and hotdogs for dinner

 

4.

Which statement is true about this argument?

Argument

if a number is divisible by 2, then it is even.

The number 4 is even.

Therefore, the number 4 is divisible by 2.

 

Options

the argument is valid but does not follow the law of syllogism nor the law of detachment

the argument is valid by the law of detachment

the argument is not valid

the argument is valid by the law of syllogism

 

THankss!!!!

 Jan 8, 2019
 #1
avatar+101827 
+2

2.For the conditional statement, "if you fly from new york to californi, then you travel from east to west," which other form of the conditional must be true?

 

The one that is true is :

 

if you do not travel from east to west, then you do not fly from new york to california

 

This is the contrapositive to the original conditional

 

cool cool cool

 Jan 8, 2019
 #2
avatar+101827 
+1

4.

Which statement is true about this argument?

Argument

if a number is divisible by 2, then it is even.

The number 4 is even.

Therefore, the number 4 is divisible by 2.

 

Let  P  =   a number is divisible by 2

Let Q =  the number is even

 

 

Then we have the form....

 

Statement 1 : If P, then Q

 

Statement 2  :   Q

 

Conclusion :  P

 

This follows the Law of Detachment

 

 

cool cool cool

 Jan 8, 2019

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