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!!!!
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
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