Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the element
podryga [215]
Answer:
(a) {6,10}
(b) {1, 3, 5, 6, 7, 9, 10}
(c) ∅
Step-by-step explanation:
Given,
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
A = {1, 3, 5, 7, 9},
B = {2, 4, 6, 8, 10},
C = {1, 2, 4, 5, 8, 9},
(a) Since,
,
,
,
(b)
(c)
Answer:
The quadrilaterals will be congruent
The quadrilateral will now appear in Quadrant 2
Step-by-step explanation:
Given
Rotation across 180 degrees
Reflection across y-axis
Required
The true statement
Using point W as a point of reference; We have:
1. Rotation across 180 degrees
The rule is:
So:
2. Reflection across y-axis
The rule is:
So:
Using the above transformation on the other points; We have:
Plot the above points on a grid (see attachment).
<em>From the grid, we can conclude that: the quadrilaterals will be congruent , and it will appear in Quadrant 2.</em>
The whole value can be found by using a phenomenon known as proportion
What is percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
Now we are given a percent p of a value let us say x and that value be v
We have to find the initial value let us say that value to be 'P'
To find that we use proportion
That is ratio of value to their respective percentage will be equal
Hence we will have
P/100 = v/ x
P= (v/x)*100
Hence we get the initial value
To learn more about percentage please refer the following link
brainly.com/question/24877689
#SPJ1
Answer:
The equation of the line that passes through the point (-2,0) with a slope of -1/3 is y= -1/3x-2/3
<h3>
Answer: 450 mph</h3>
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Explanation:
a = speed of airplane without any wind
a+50 = speed of the plane with the wind boosting it
distance = rate*time
d = r*t
d = (a+50)*4
This represents the plane traveling 4 hours at the speed of a+50 mph. We don't really care about the distance d.
The other equation to set up is
d = (a-50)*5
which means the plane is going slower at a-50 mph and travels for 5 hours this time.
The system of equations is
Both equations involve the same variables 'a' and d, which allows us to use substitution to solve for 'a' like so
d = (a+50)*4
(a-50)*5 = (a+50)*4
5a-250 = 4a+200
5a-4a = 200+250
a = 450
The speed of the plane, without any wind, is 450 mph