Which answers choice shows that the set of irrational numbers is not closed under addition?
2 answers:
Answer:
Step-by-step explanation:
First of all, we have to define what refers "closed under addition".
The closure property under operations is when we operate to number and we get a result that's inside the same number field. For example, if we sum one integer with another one, we would have an integer as a result, that means integers are closed under addition.
So, if you observe the possible answers, you would see that is not showing closure under addition, because it doesn't result in a irrational as the third choice do
Therefore, the answer is the first option.
You might be interested in
The pairs of angles that have equal measures are:
- LJP
- NJR
- MJP
- PJR
The pairs of angles that do not have equal measures are:
- MJK
- PJR
- KJR
- MJP
- KJL
- LJM
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Both MJK and PJR can be seen as (Unequal angles)
The angle MJK is ( 90 degrees), then angle PJR will be ( 48 + 46 )= 94 degrees
Both LJP and NJR can be seen as ( Equal angles)
The measure of angle LJP = 48 + 46 + 48 = 142 degrees
The measure of angle NJR = 48 + 48 + 46 = 142 degrees
KJR & MJP = Unequal
The angle KJR will now be [ 360 - (46+48+48+46+90) ]
= 82 degrees
The angle MJP will be ( 94 degrees)
Both KJL & LJM are Unequal, then
The angle KJL will be 42 degrees, then angle LJM will be ( 90 - 42 )
= 48 degrees
Read more about pairs of angles here:
#SPJ1
CHECK THE COMPLETE QUESTION BELOW:
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair
of angles into the correct catagory to show which pairs have equal measures.
MO
N
46°
42°
48°
46°
R
ZMJK and LPUR
ZLJP and ZNJR
ZKJR and ZMJP
MJP and ZPJR
ZKIL and ZUM
Equal Measures
Unequal Measures
In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
<h3>What is the transformation rule?</h3>In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:
where;
- k = scale factor
From the given information:
- The scale factor = 2
- the origin as a center of dilation for image vertices = (0, 0)
Now, using the coordinate vertices:
- A = (-1, -1)
- D = (2, -1)
The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
Learn more about the transformation rule in coordinate planes here:
#SPJ1
