Answer:
The law of detachment and syllogism is valid here
Explanation:
The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.
The law of detachment is denoted
[(a→b)∧a]→b
The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.
It is denoted
[(a→b)∧(b→c)]→(a→c)
In the above example, given: If you live in Orlando, then you live in Florida
Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida
Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
So its
1/3 divided by 6/1
we get the reciprocal
1/3*1/6
so thats 1/18 for each sports team
Answer:39
Step-by-step explanation:
90-51=39
Answer:
x = 6, y = 3
Step-by-step explanation:
Let Sally's age be x and Tomas's age be y.
Sum of Sally's age plus twice Tomas's age: x + 2y = 12
Difference of Sally's age and Tomas's age: x - y = 3
Multiply the second equation by two and add it to the first equation to get
3x = 18, which means x = 6.
Plug 6 in for x in the second equation to get 6 - y = 3, which means y = 3.
