The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.
Answers
Answer:
A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] n = 14 [/tex]
C. 78° and 102°
Step-by-step explanation:
A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:
[tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
Solve for n.
[tex] 4n + 22 + 8n - 10 = 180 [/tex]
Collect like terms
[tex] 12n + 12 = 180 [/tex]
Subtract 12 from both sides
[tex] 12n + 12 - 12 = 180 - 12 [/tex]
[tex] 12n = 168 [/tex]
Divide both sides by 12
[tex] \frac{12n}{12} = \frac{168}{12} [/tex]
[tex] n = 14 [/tex]
C. Plug in the value of 14 to get the measurement of both angles
[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]
[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]
Related Questions
The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?
Answers
Answer:
20.8333333
Step-by-step explanation:
6 x 20.8333333 = 125
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answers
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Please find the area and circumference of
the circle below
Answers
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
What is the rate of return when 10 shares of Stock
A, purchased for 20 $/share, are sold for $310? The
commission on the sale is $6.
rate of return = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Answers
Answer:
Rate of return = 52%
Step-by-step explanation:
Cost of Investment = 10 shares × $20 = $200
Gain on Investment = amount sold - commission on the sale
Gain on Investment = $310 - $6 = $304
Using the formula:
ROR = (Gain on investment - cost of Investment)/cost of Investment × 100
Plug in the values into the formula:
[tex] ROR = \frac{304 - 200}{200} * 100 [/tex]
[tex] = \frac{104}{200} * 100 [/tex]
[tex] = \frac{104*100}{200} [/tex]
[tex] = \frac{104}{2} = 52 [/tex]
Rate of return = 52%
The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answers
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
Six and forty-two ten-thousandths as a decimal
Answers
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answers
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
Please help ASAP.
Will mark brainliste
Answers
Answer:
i think its c but it could also be d sorry if im wrong T-T
Step-by-step explanation:
Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)
Answers
Answer:
k lemmee checkkkkkkkk
I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?
Answers
a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answers
Answer:
4.50
Step-by-step explanation:
2.25 plus 2.25 aka half
Is 8.25 greater, equal or less than 8.250
Answers
Answer:
If this is basic mathematics its =
Step-by-step explanation:
You won't have to worry about sig figs until chemistry.
Add parentheses to make 6-9-2+3x6 equal to 17
Answers
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answers
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.
Answers
Answer:
No, because an expression is already solved and an equation is where you have to solve it
Step-by-step explanation:
Answer:
No as said you have to solve and equation yet an expression is already solved for your viewing.
Step-by-step explanation:
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answers
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answers
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
Use the information to find the minimum sample size required to estimate an unknown population mean µ. Margin of error: $110, confidence level: 95%, σ = $500. Group of answer choices
Answers
Answer:
The minimum sample size required is 79.
Step-by-step explanation:
The following are given in the question:
e = Margin of error = 110
σ = Standard deviation = 500
Confidence level = 95%
n = Minimum sample size = ?
Therefore, we have:
Zσ = 1.96 at 95% confidence level
s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /
Alternatively, margin of error can be calculated as follows:
e = s.e. * Zσ = 110 ................... (1)
Substituting the other values into equation (1) and solve for n, we have:
500 / [tex]\sqrt{n}[/tex] * 1.96 = 110
500 / [tex]\sqrt{n}[/tex] = 110 / 1.96
500 / [tex]\sqrt{n}[/tex] = 56.1224489795918
500 = 56.1224489795918 * [tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex] = 500 / 56.1224489795918
[tex]\sqrt{n}[/tex] = 8.90909090909092
[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092
Squaring both sides, we have:
([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2
n = 79.3719008264465
Approximating to a whole number, we have:
n = 79
Therefore, the minimum sample size required is 79.
Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.
Write the Equation and the answer please
Answers
Answer: there is 90 players in total
Step-by-step explanation:
6x 2= 12
78 + 12 = 90
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
Name the points which satisfy the conditions. The ordinate is zero.
Answers
9514 1404 393
Answer:
G
Step-by-step explanation:
The one point with a y-value of 0 is the one on the x-axis: G.
Which is true when you rent?
ОА.
You build equity in your house.
ОВ.
You are responsible for any repairs.
Ос.
You pay fewer up-front costs.
Answers
You are responsible for any repairs.
Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is 15 minus three-halves y. Which of the following are possible numbers of blankets that Daniel could make? Select all that apply.
Answers
Answer:
any number between 0 and 10
Step-by-step explanation:
15 - 3/2y
how many times can 3/2 go into 15?
10 times. The most blankets he can make is 10, so any number less than 10 and greater than zero would be a correct solution
can i get brainliest please?
Answer:
9 and 10
Step-by-step explanation:
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
Answers
Identify the coefficients: -3h - 2h + 6h +9
Answers
Answer:
-23h
Step-by-step explanation:
What is 4/9 - 1/3 =
help
Answers
Hope this helps! :))
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
4cm
2cm
6cm
Find the area please
Answers
Step-by-step explanation:
ummm where is the pic? like bruh
Answer:
48 cm
Step-by-step explanation:
Multiply 4x2x6 and get the answer of 48 cm.
Is f^-1(x) = x/9 - 5/9 a function?
Answers
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answers
hope this helps!
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
okay
When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data
Answers
Answer:
The linear function would be:
C = 10t + 2
where C is the cost and t is time in months
Step-by-step explanation:
20 points & Brainliest
Why are rotations a rigid motion?
Answers
Answer:
RC,\α is a rigid motion.
Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.
the motion follows in a circularmanner with C as the center.
consider a point Q which changes to Q1 after rotation by an angle\alpha
Step-by-step explanation:
When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.