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.

The Angles Shown Above Form A Linear Pair. Show All Of Your Work For Full Credit.A. What Is The Angle

Answers

Answer 1

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

PLEASE HELP!!!!


Drag each tile to the correct box.
Match each savings plan to its description.

401(k)
Roth IRA
403(b)
529 plan
health FSA

a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions

a tax-advantaged college savings plan

an employer-offered retirement account that accepts contributions from
employees and employers

a tax-advantaged savings account available through employers to pay for
qualified medical expenses

a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement

Answers

Answer:

403(b)

529 plan

401(k)

health FSA

Roth IRA

Step-by-step explanation:

I looked it up. Good luck :)

Answer:

401(b)

529 plan

401(k)

health FSA

Roth IRA

Step-by-step explanation:

What happens to the median if the game with 3 hits is remqued from the data sset

Answers

I just need points lsosjsnsnenenend

Jonae gets paid $16.50 an hour working at a furniture store. She also gets paid 20% of all of the store's furniture sales each week. This week, the store made $600 on a table and $400 on chairs. If Jonae worked 40 hours this week, how much will she be paid?

Answers

Answer:

$860

Step-by-step explanation:

Jonae makes $16.50 an hour and worked 40 hours.  Multiply the hours worked by the amount of money she earned.

$16.50 × 40 = $660

The stored made $600 on a table and $400 on chairs, which, in total, is $1000.  Since Jonae gets paid 20% of all of the furniture sales, multiply the total sales by the percentage.

$1000 × 0.2 = $200

Add together the earnings she made per hour and the earnings she made from the furniture store's sales.

$660 + $200 = $860

2. The assessed value of the Oscar's house is $159,000. The
annual property tax is rate 4.23% of the assessed value.
What is the annual property tax on the Oscar's house?

Answers

Answer:

6725.70

Step-by-step explanation:

159000 * 0.0423 = 6725.70

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:

Write the decimal represented by each shaded square.

Answers

that’s a 100 mode and there 53 squares shaded so it’s gonna be 0.53 :))

What does round to the nearest hundredth mean?

Answers

Answer:

Step-by-step explanation:

say for example you have 105 as a answer you would round to 100 because it a closer to 100 than 200

The hundredths place is the second place after the decimal. So if you have something like 13.4667 and you have to round to the nearest hundredth, it would be 13.47

The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2

Answers

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]2 = \frac{y - 2}{5 - 2} [/tex]

Simplify it to get value of"y".

[tex]2 = \frac{y - 2}{3} [/tex]

[tex]6 = y - 2[/tex]

[tex]y = 6 + 2[/tex]

Therefore, y= 8.

Hope it helps...

I tried and couldn't get it can someone help me out

Answers

Answer:

I think it would be B)

Step-by-step explanation:

This problem seems badly worded and/or vague.

It looks like you plugged x = 3 into the inverse [tex]f^{-1}(x)[/tex] function to get 3 as the output, which is correct.

However it seems like your teacher wants you to find the (x,y) point on f(x). This means s/he is asking "what x value will get us y = 10?" As you found through working with the inverse, the x value x = 3 does that.

We can see it as such

f(x) = 3x+1

f(3) = 3*3+1

f(3) = 10

So in a sense, you were working backwards.

The point (3,10) is on the graph of f(x)

While the point (10,3) is on the graph of [tex]f^{-1}(x)[/tex]

It's likely your teacher wants you to select choice C

what is the least common factor of 25 and 8

Answers

Answer:

1 hope this helps

Step-by-step explanation:

Which values of a, b, and c correctly represent the answer in simplest form?

4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3

Answers

Answer

the answer is a i

thinnk

Step-by-step explanation:

hope this helped!!

The values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

What is a fraction?

A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.

For the given situation,

The fraction is given as  [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]

⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]

⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]  

⇒ [tex]\frac{18}{5}[/tex]

⇒ [tex]3\frac{3}{5}[/tex]

Thus from the above value a = 3, b= 3, c= 5.

Hence we can conclude that the values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

Learn more about fractions here

https://brainly.com/question/17205173

#SPJ2

Which measurement statement is correct?

Answers

Answer:

What do you need help with?

Convierte a fracción: -7/8 porfavor ayudenmeeeeeee

Answers

it's already a fraction tho.

Solve for x for the following pls!
1) 7+3x+1=4x+5
2) 8+2x+18=x+19
3) 6+2x+13=x+26
would appreciate it sm

Answers

Answer:

1.x=3

2. x= -7    

3. x=7

Step-by-step explanation:

Pls help me I will pick brainliest

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

.

sub to astronaut gaming i have 27 or 28 subs if you need help finding i will help

Answers

Is this a gamminggg channelll

PLS ANSWER I WILL MAKE YOU BRAINLIEST!

Name the points which satisfy the conditions. A negative x-coordinate.

Answers

9514 1404 393

Answer:

  B, C, G, H, L, M

Step-by-step explanation:

The points with a negative x-coordinate are the points that are to the left of the y-axis. They are ...

  B, C, G, H, L, M

ANSWER ASAP! NEED HELP

Answers

Can anyone answer my question I’ve already posted like 3 pictures of it and no one is answering it please help me :(

A polling company reported that ​% of surveyed adults said that Complete parts​ (a) through​ (d) below.


a. What is the exact value that is 37% of 1018?
b. Could the result from part​ (a) be the actual number of adults who said that Why or why​ not?

1. ​No, the result from part​ (a) could not be the actual number of adults who said that because that is a very rare opinion.
2. ​No, the result from part​ (a) could not be the actual number of adults who said that because a count of people must result in a whole number.
3. ​Yes, the result from part​ (a) could be the actual number of adults who said that because the polling numbers are accurate.
4. ​Yes, the result from part​ (a) could be the actual number of adults who said that because the results are statistically significant.

c. What could be the actual number of adults who said that The actual number of adults with this opinion could be 296. ​(Type an integer or a​ decimal.)
d. Among the 1018 respondents, 415 said that cellular phones are not at all harmful. What percentage of respondents said that cellular phones are not at all harmful?

Answers

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

What is 1/2÷3 as a fraction?

Answers

Answer: 1/6

Step-by-step explanation:

1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.

#18 Kerry has 4 goldfish
and 8 beta fish. What is the
ratio of beta fish to total
fish? Write the ratio 3 ways.

Answers

Answer:

1:2, 1 to 2, 1/2

Step-by-step explanation:

Which net represents this triangular prism?

Answers

Hanap ka nalang sa google vhie d ko den alam eh

Answer:

If you talking about iready. It's the first pink one.

Step-by-step explanation:

Someone please help!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Step 1: Define

xy + |-49/1|(-1)

x = 7

y = 8

Step 2: Simplify

xy + |-49|(-1)

xy + 49(-1)

xy - 49

Step 3: Substitute and Evaluate

7(8) - 49

56 - 49

7

Answer:

7

Step-by-step explanation:

xy + | -49/1| (-1)

Let x=7 and y = 8

7*8 +  | -49/1| (-1)

56 +  | -49/1| (-1)

The absolute value of -49 is 49

56  +49 (-1)

Multiply

56-49

7

what is the most frequently occurring value in a set

Answers

Answer:

mode

Step-by-step explanation:

in statistics, the mode is the most commonly observed value in a set.

Answer:

Mode

Step-by-step explanation:

Mode is the value that is shown most frequently in a set.

Simplify the following expression, 3/8 divided by 1/4

Answers

The correct answer is 1.5 in decimal form but in fraction form it’s 3/2

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

Learn more about simplification of fraction, click here:

https://brainly.com/question/16510095

#SPJ6

The line y=2x+7 meets at rthe y-axis at A.

Write down the co-ordinates of A​

Answers

Answer:

(0, 7)

Step-by-step explanation:

y = mx + c

c is the y-intercept - where the line crosses the y-axis

Find the slope of the line below

Answers

Answer:

5/3

Step-by-step explanation:

rise=5

run=3

so 5/3

it would be 5/3 the rise is 5 and the run is 3

A sofa regularly sells for $460. The sale price is $349.60. Find the percent decrease of the sale price from the regular price.

Answers

Step-by-step explanation:

[tex](460 - 349.60) \div 460 \times 100 = 24[/tex]

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

Find the difference in lowest term 7/18 - 3/18

Answers

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

Other Questions
please help me with this Managers must be able to determine whether their workers are doing an effective and efficient job, with a minimum of errors and disruptions. They do so by using a performance appraisal, an evaluation that measures employee performance against established standards in order to make decisions about promotions, compensation, training, or termination. Managing effectively means getting results through top performance. That's what performance appraisals at all levels of the organization are forincluding at the top, where managers benefit from review by their subordinates. In the 360-degree review, management gathers opinions from all around the employee, including those under, above, and on the same level, to get an accurate, comprehensive idea of the worker's abilities.a. Trueb. False (5x+2x^2-3)-(6+x^2-8x) What are the answers to 11 and 12 A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t1.971, =0.05, the corresponding rejection regions are t2.228, the null hypothesis is H0:d=0, and the alternative hypothesis is Ha:d0.Select all that apply: a. Reject the null hypothesis. b. Fail to reject the null hypothesis. c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different. d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different. 1. How many constitutions have been practiced in Nepal tillnow? Which is the present constitution? If you multiply four negative numbers, what is the sign of the product? If you multiply five negative numbers, what is the sign of the product? Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression. can some help you will get 10 POINT and a 100 more Help me please with this question ??? What is 2/3 as a decimal Find the distance between the two points in simplest radical form.(-1,0) and (5, -8) Elizabeth made 80 cookies for the bake sale at school. She sold 35% of the cookies. How many cookies are left to sell tomorrow? A studious physics student is interrupted by a swarm of bees and chased off a cliff. Since she has her calculator in hand she quickly punches in numbers to figure out the initial velocity she needs to make it into the lake below. The cliff is 10 m high and the lake is 15 m away from the edge of the cliff. Find the time it takes her to drop. Find her initial velocity, Match term with definitionZoroaster Epic of Gilgamesh Choices:1) Another word for a skilled worker who writes 2) 1st to believe in heaven and hell and resembles Christianity Ill give Brainliest!!! What is 3rd person objective?The story is writtenfrom theperspective of themain character inthe story.The narrator is The narrator is The narrator isoutside of the story outside of the story outside of the storybut doesn't know and knows the and knows thethe thoughts or thoughts and thoughts andintentions of the intentions of the intentions of all ofcharacters. main character the characters. Please help ASAP its due today The nuclues, ribosomes, ER, Golgi appartus, and vesicles are all involved in what process? What is the value of x?A.9.4B)7C)-9.4D)-7 In the Harry Potter novels, we see Harry starting out as a scared orphan who develops into a powerful hero who seeks to fight evil by the last novel. This is an example of *emotional appealantagonistcomplex/dynamicflat/static 1. teacher: school :: priest:a. churchb. marketc. roadd. port2. father: son :: mother:a. auntb. unclec. daughter d. baby