Which column represents the correct method for the proof of the following statement?
If two angles form a linear pair, then they share a common ray.
Column A
1. Assume the angles do not form a
linear pair
2. If the angles do not form a linear
pair, then they are not adjacent
Column B
1. Assume the angles do not share a
common ray
2. If the angles do not share a
common ray, then they are not
adjacent
3. If two angles are not adjacent, then
they cannot form a linear pair
4. If two angles do not share a
common ray, then they do not form
a linear pair
3. If two angles are not adjacent then
they do not have a common ray
4. If two angles do not form a linear
pair, then they do not have a
common ray
A column A
B. column B
C. both column A and column B
D. neither column A nor column B
Answers
Answer:
90
Step-by-step explanation:
the colums add up to angle 1, which make angle 2 adjacent.
9-9=0
Related Questions
Players A and B play a basketball game in which they take turns shooting the ball, and the first player to make their shot wins. Player A has probability 2/3 of making each of her shots. Player B has probability 1/2 of making each of his shots. If Player A shoots first, what is the probability that she will win
Answers
Answer:
Player A has a probability 2/3 of making each of her shots, then she has a probability 1/3 of missing each shot.
Player B has a probability 1/2 of making each of his shots, then he also has a probability 1/2 of missing each shot.
Let's separate each case.
Let's define:
P(x) = probability of winning at the "x" shot.
Player A wins on the first shot.
Because she has a probability 2/3 of making each of her shots, the probability of winning at the first shot is
P(1) = 2/3
Now let's see the next case, player A wins at her second shot.
This means that first, she misses her first shot, with a probability of:
p₁ = 1/3
Player B must miss his shot, the probability is:
p₂ = 1/2
Now player A must make her shot, so the probability is:
p₃ = 2/3
The joint probability is the product of the individual probabilities, so we have:
P(2) = (1/3)*(1/2)*(2/3) = 1/9
Now we can see the pattern, for P(3) we have
A misses: p₁ = 1/3 (first shot of A)
B misses: p₂ = 1/2
A misses: p₃ = 1/3 (Second shot of A)
B misses: p₄ = 1/2
A makes the shot: p₅ = 2/3
P(3) = (1/3)*(1/2)*(1/3)*(1/2)*(2/3) = 1/54
We already can see the pattern.
P(n) = (1/3)^(n - 1)*(1/2)*(n - 1)*(2/3)
Player A has a probability P of winning, and we can write P as:
P = P(1) + P(2) + P(3) + ...
Then we will have:
P = 2/3 + 1/9 + 1/54 + 1/324 + ... ≈ 0.8
In a model, a submarine is located at point (0, 0) on the coordinate plane. The submarine’s radar range has an equation of 2x2 + 2y2 = 128
Draw the figure on a graph and label the location of the submarine. Make sure your name is on the paper, and label this activity Part 2.
Can the submarine’s radar detect a ship located at the point (6, 6) ? Mark that location on your graph, and explain how you know whether or not the ship will be detected in the space provided on the Circles Portfolio Worksheet.
Answers
Answer:
Remember that for a circle centered in the point (a, b) and with a radius R, the equation is:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the submarine is located at the point (0, 0)
And the radar range has the equation:
2*x^2 + 2*y^2 = 128
You can see that this seems like a circle equation.
If we divide both sides by 2, we get:
x^2 + y^2 = 128/2
x^2 + y^2 = 64 = 8^2
This is the equation for a circle centered in the point (0, 0) (which is the position of the submarine) of radius R = 8 units.
The graph can be seen below, this is just a circle of radius 8.
We also want to see if the submarine's radar can detect a ship located in the point (6, 6)
In the graph, this point is graphed, and you can see that it is outside the circle.
This means that it is outside the range of the radar, thus the radar can not detect the ship.
Here's the result of this question
The point (-2,7) has undergone the following transformations:
1. Translated 1 unit up and 4 units left
Then
2. Reflected about the c-axis
Then
3. Rotated 90° anticlockwise about the origin
A) Its final coordinates are (3,-1)
B) Its final coordinates are (8,-6)
C) Its final coordinates are (-8,6)
D) Its final coordinates are (-3,1)
Answers
Answer:
B) Its final coordinates are (8,-6)
Step-by-step explanation:
1. Translated 1 unit up and 4 units left
(-2,7) becomes (-6, 8)
2. Reflected about the x-axis
(-6,8) becomes (-6, -8)
3. Rotated 90° anticlockwise about the origin
(-6, -8) becomes (8, -6) because when rotating 90 degrees anticlockwise about the origin, point A (x,y) becomes point A' (-y,x). In other words, switch the x and y and make y negative.
Please help !!!!!!! Asap
Answers
Answer:
A, C, E, G
Step-by-step explanation:
Basic set operation
I need the help ASAP please
Answers
Answer:
Option B
Answered by GAUTHMATH
Coefficient and degree of the polynomial
Answers
Answer:
The leading coefficient is -8 as it is a mix of x and cardinal, if it was x alone then it wouldn't be the coefficient, we would use the next number shown.
If it was just a number and no x then it would still be the coefficient.
The degree is 9 as it is the highest power shown.
Step-by-step explanation:
See attachment for examples
The sum of 'n' terms of an arithmetic sequence is 4n^2+3n. What is the first term, the common difference, and the sequence?
Answers
Answer:
d=8 and a=7
Step-by-step explanation:
The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=3 and d/2=4, d=8 and a=7. The sequence is 7, 15, 23, 31, 39
HELP HELP ASAP!!! ANYONE ANYONE
Answers
Answer:
Step-by-step explanation:
factor each total
27 = 3 x 3 x 3
18 = 3 x 3 x 2
45 = 3 x 3 x 5
The largest (and only) common factor is 3
however each factorization also contains the product 3 x 3 = 9
so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.
another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.
the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension
Answers
Let breadth be x
Length=x+4We know
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\\ \sf\longmapsto x(x+4)=22[/tex]
[tex]\\ \sf\longmapsto x^2+4x=22[/tex]
[tex]\\ \sf\longmapsto x^2+4x-22=0[/tex]
By solving[tex]\\ \sf\longmapsto x=-2\pm\sqrt{26}[/tex]
It doesnot have any real roots
The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .
I Will Mark Brainliest
Answers
Answer:
21
Step-by-step explanation:
All three sides are equal
2x-7 = x+y-9 = y+5
Using the last two
x+y-9 = y+5
Subtract y from each side
x+y-9-y = y+5-y
x-9 = 5
Add 9 to each side
x -9+9 = 5+9
x=14
We know the side length is
2x-7
2(14) -7
28-7
21
The side length is 21
6+7=10
13+8=18
32+21=32
11+34=0
31+03=?
process please
Answers
Answer:
6+7=13
13+8=21
32+21=52
11+34=46
31+03=34
Step-by-step explanation:
im not sure in the 31+03
The height of the triangle is 4 meters longer than twice its base. find the height if the area of the triangle is 80 square meters. The height must be ___meters
Answers
Answer:
The height is 20 meters
Step-by-step explanation:
First set up the equation (Area)80=bh/2 then set up another equation, (height) h=4+2b (base). After this you can substitute h in the equation to end up with 80=(b(2b+4))/2 simplify it to get 80=b^2+2b then solve. The base is 8 meters, plug into the formula that we made before and you find the height is 20 meters.

Which description matches the function represented by the values in this
table?
X х
у
14
1
2
56
224
4
896
5
3584
O A. exponential decay
OB. linear growth
O C. linear decay
D. exponential growth
Answers
The given table represents Exponential growth.
Exponential growth:The process of Quantity rising over time is called exponential growth. An exponential function is used to create an exponential growth curve, which represents a pattern of data that shows a rise over time. Where the Exponential decay helps to understand the rapid decrease in a period of time
Here we have
The table
х 1 2 3 4 5
у 14 56 224 896 3584
From the given table, we can observe that
[tex]\frac{14}{56} = \frac{56}{224} = \frac{896}{3584} = \frac{1}{4}[/tex]
Since the absolute value of the common ratio is less than 1 i.e 1/4
And the values are increasing
Therefore,
The given table represents Exponential growth.
Learn more about Exponential growth at
https://brainly.com/question/8706992
#SPJ1
Can someone help me find the standard deviation of this data set plssss
35
27
24
42
25
31
41
34
32
46
29
44
29
35
39
27
41
63
52
31
38
46
39
27
58
32
33
47
36
28
65
53
40
32
39
44
48
59
46
62
22
39
35
29
36
66
33
45
50
62
27
27
41
33
54
44
26
31
45
33
42
63
51
70
42
53
38
28
35
49
47
54
44
40
39
62
30
35
38
26
34
61
19
30
34
26
41
35
26
54
28
32
50
27
31
35
38
26
47
30
28
62
57
56
30
32
31
36
32
42
33
51
35
30
28
20
23
27
33
36
35
42
43
28
36
44
58
41
36
37
49
34
23
39
34
37
62
23
28
26
29
30
37
46
43
56
53
31
36
44
39
51
21
51
34
30
25
31
38
52
49
43
50
31
36
32
28
44
61
57
24
63
28
31
32
26
28
Answers
since it was too long, I just made this python code in order to solve for it:
from math import *
data = [35, 27, 24, 42, 25, 31, 41, 34, 32, 46, 29, 44, 29, 35, 39, 27, 41, 63, 52, 31, 38, 46, 39, 27, 58, 32, 33, 47, 36, 28, 65, 53, 40, 32, 39, 44, 48, 59, 46, 62, 22, 39, 35, 29, 36, 66, 33, 45, 50, 62, 27, 27, 41, 33, 54, 44, 26, 31, 45, 33, 42, 63, 51, 70, 42, 53, 38, 28, 35, 49, 47, 54, 44, 40, 39, 62, 30, 35, 38, 26, 34, 61, 19, 30, 34, 26, 41, 35, 26, 54, 28, 32, 50, 27, 31, 35, 38, 26, 47, 30, 28, 62, 57, 56, 30, 32, 31, 36, 32, 42, 33, 51, 35, 30, 28, 20, 23, 27, 33, 36, 35, 42, 43, 28, 36, 44, 58, 41, 36, 37, 49, 34, 23, 39, 34, 37, 62, 23, 28, 26, 29, 30, 37, 46, 43, 56, 53, 31, 36, 44, 39, 51, 21, 51, 34, 30, 25, 31, 38, 52, 49, 43, 50, 31, 36, 32, 28, 44, 61, 57, 24, 63, 28, 31, 32, 26, 28]
def stand_dev(list_n):
x = 0
sum_num = 0
for x in list_n:
sum_num += list_n[x]
sum_of_n = sum_num
mean = float(sum_of_n / len(list_n))
float(mean)
i = 0
e = 0.0
for i in list_n:
subtract_then_square = (list_n[i] - mean)**2
e += subtract_then_square
result1 = e
new_mean = result1 / len(list_n)
final_result = float(sqrt(new_mean))
return final_result
print(stand_dev(data))
basically, the first chunk of the code calculated the mean of the data. The second chunk would take all of the values from the data, subtract it from the mean, and then square it. I then took the sum of all the new values and average it to get the new mean, then square rooted the new mean to get the answer.
it should be ~= 11.713, but you can always check it by searching up a python compiler online and then insert in the data.
Answer:
I used MS excel and got the attached results.
Note the data is sorted and the data size is 177.
The answer I got is 11.31045226
Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are 12 roses in a dozen
Answers
Answer:
7/12
Step-by-step explanation:
total: 12 roses
white roses: 5
pink roses: 7
fraction of pink roses = 7/12
Driving 70 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 3 hours to get to her destination with the jet traveling at a speed of 400 mph. How many miles does Alicia travel to get to her destination?
Answers
Answer:
Total distance covered= 910 miles
Step-by-step explanation:
Distance = speed x time
Distance covered from home to airport = 70 x 3= 210 miles
Distance covered from airport to destination= 350 x 2= 700 miles
Add them together to get the final answer.
There is 3m wide path around a circular cricket ground having the diameter of 137 m. Find the area of the path.
Answers
Answer:
1320 m^2
Step-by-step explanation:
area of ground = π r ^2
= (22/7) × (137/2)^2
= 14,747.0714286 m^2
area of ground and path
=( 22/7)(143/2)^2
= 16,067.0714286 m^2
area of path
=16,067.0714286 -14,747.0714286
= 1320 m^2
note :
r = radius = diameter /2
area of a circle = π r^2
diameter of circle created with path and ground = 137 + 2 × width of path
= 137 + 2× 3 = 143 m
Q: Solve for x: 8x-2-5x=8
A. OX=13
B. OX=2 1/2
C. OX=3 1/3
D. OX=7
Answers
Answer:
c. 3 1/3
Step-by-step explanation:
8x-2-5x=8
3x=10
x=10/3=3 1/3
Answer:
x=[tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
Hi there!
We want to find the value of x in this expression:
8x-2-5x=8
Our goal is to isolate x on one side
Combine like terms on the left side (add the terms with x together)
3x-2=8
Add 2 to both sides (-2+2=0)
3x-2=8
+2 +2
__________
3x=10
Divide both sides by 3
x=[tex]\frac{10}{3}[/tex]
Simplify the improper fraction
x=[tex]3\frac{1}{3}[/tex]
Hope this helps!
Find the area of the shape shown below.
Answers
Answer:
28 units²
Step-by-step explanation:
Area of trapezoid =
2(8 + 4)/2 = 12
Area of rectangle =
2 x 8 = 16
16 + 12 = 28
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What year was it when I was a freshman if I graduated this year(2021)?
Answers
Answer:
2019
Step-by-step explanation:
I am assuming you mean graduated from high school. If that's the case it's 2019. Sophmore year means 9th grade. which is 2019!
please help I have 3 mins left
Answers
Answer:
the first one is 3.7 x 10^-4
and the second one is 3.7 x 10^4
explanation:
when we have decimals we are going backward,
therefore "0.00037" would be a negative number
to find the scientific notation form, we have to move the decimal over to the left untill we get 3.7
it took 4 moves to the right to get to 3.7, and since were dealing with decimals it will be negative,
so the first one is 3.7 x 10^4
the second one however is not a decimal so it will be a positive exponent.
now remember that there is always a decimal after a number we might just not see it.
so, going from the very end of the number it takes us 4 moves to the left to get to 3.7
so,
the second one will be 3.7 x 10^4
hope this helped :)
If a point in quadrant IV is reflected in the y-axis, its image will lie in quadrant:
A. IV
B. II
C. I
D. III
Answers
Answer:
Option D is correct.
Step-by-step explanation:
A plane mirror shows that the image formed by it is of same size as that of object, same distance as that of object and same orientation and laterally inverted.
So, when a point is in IV quadrant and reflection is from Y axis, the image is in III quadrant.
7. Solve for x: x/6 - y/3 = 1
Please give steps!
Answers
<=> x/6 = 1+ y/3
<=> x/6 = (3+y)/3
<=> x = (3+y)/3 x 6
<=> x = 2(3+y)
So the answer is x = 2(3+y)
Identify the similar triangle. Then find each measure (round to the nearest tenth).
Answers
Answer:
ZWU ~ WYU
WY = 2.5
UY= 1.5
Step-by-step explanation:
ZUW ~ WUY ~ ZWY
5/3=x+1/x
Cross multiply
5x=3x+3
2x=3
x=3/2 OR 1.5
What is the sum of the infinite geometric series?
Answers
Answer:
-6
Step-by-step explanation:
a1= -3
r= -(3/2)/-3 = 0.5
r>-3
s= a1/1-r
= -3/1-0.5
=-6
Question 17 of 25
Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f>7, or 6 < w. Where necessary, use <= to write s
and use >= to write .
V-(-5) <-9
Answer here
I
SUBMIT
Answers
Answer:
v-(-5)<-9
v- remove brackets -5
v- -5= -4 +5 ( opposite operation)
v- = -4
v< -4
A cylinder has a radius of 6 inches and is 15 inches tall what is the volume of the cylinder round to the nearest whole square inch
Answers
Answer:
V=TT r²h
Step-by-step explanation:
TT=3.14
r=6
h=15
V=TTr²h
V=3.14×6²×15
V=3.14×36×15
V=1695.6inch³
Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth.
Answers
[tex]\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{1.19}[/tex]
[tex]\\ \rm\longmapsto EF=6.38units[/tex]
Answer:
[tex]\displaystyle 6,38\:units[/tex]
Step-by-step explanation:
You would set your proportion up like so:
[tex]\displaystyle \frac{7,6}{EF} = cot\:40° \\ \\ 7,6 = EFcot\:40° → 6,3771571969... = \frac{7,6}{cot\:40°} \\ \\ 6,38 ≈ EF[/tex]
I am joyous to assist you at any time.
what is the area of the triangle ://
Answers
Answer:
The area of a triangle is:
Area = 1/2(bh)
Area = 1/2(70)
Area = 35 square inches
Let me know if this helps!
A = 35
Step-by-step explanation:
a^2 + b^2 = c^2
10^2 + b^2 = 12^2
100 + b^2 = 144
144 - 100 = b^2
b^2 = 44
b = 6.6
6.6 x 10 = 66/2 = 33
7 - 6.6 = 0.4
10 x 0.4 = 4/2 = 2
Area = 33 + 2
Area = 35
Can someone explain this to me please
Answers
Answer: Choice B
Explanation:
Everywhere you see an x, replace it with a+2.
[tex]f(x) = 3(x+5)+\frac{4}{x}\\\\f(a+2) = 3(a+2+5)+\frac{4}{a+2}\\\\f(a+2) = 3(a+7)+\frac{4}{a+2}\\\\[/tex]
