When we say deductive reasoning, this is also referred to as the top-down logic or from general to specific kind of logic. In this case, a conclusion is being made based on different premises which are considered true and relevant. Therefore, in the given statement above, I can say that it is false. The one that is being defined above is inductive reasoning. Hope this helps.
The theorem can be used for any triangle of which one of its sides must be a right angle.
Answer:
A + B = 2κπ - C , κ∈Z or A + B = 2κπ + π + C , κ∈Z
Step-by-step explanation:
sin(A + B) = -sin C
sin(A + B) = sin( - C)
A + B = 2κπ + (-C) , κ∈Z or A + B = 2κπ + π - (-C) , κ∈Z
A + B = 2κπ - C , κ∈Z or A + B = 2κπ + π + C , κ∈Z
where:
- κ is an integer
- π is pi, the well known 3,14....
Answer:
<em>His son is 10 years old.</em>
Step-by-step explanation:
Now Aaron's son is s years old, and Aaron is 3s years old.
In 10 years, Aaron's son will be s + 10 years old, and Aaron will be 3s + 10 years old.
In 10 years, Aaron's age will be twice the son's age.
3s + 10 = 2(s + 10)
3s + 10 = 2s + 20
s = 10
His son is 10 years old.
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 <em>(</em><em>expand</em><em>)</em>
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 <em> </em><em>(</em><em>-3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= -5 <em>(</em><em>simplify</em><em>)</em>
Thus the equation of the line is y= 3x -5.