An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

Answer 1

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

If the angle is x, its supplement is 180°-x.

x = (180°-x) - 78°

x = 51°

supplement = 180°-x = 129°

The angles are 51° and 129°


Related Questions

Can someone help me pls

Answers

Answer:

AB = 18

Step-by-step explanation:

tan 45° = 18/AB

1 = 18/AB

AB = 18

You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 100 hourly periods chosen at random, with the results of 32 ounces per hour and a standard deviation of 7 ounces. Calculate the 95% margin of error (in ounces per hour). (Round your answers to three decimal places.)

Answers

Answer:

The margin of error for the 95% confidence interval is of 1.389 ounces per hour.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 100 - 1 = 99

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Then

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 1.9842\frac{7}{\sqrt{100}}[/tex]

[tex]M = 1.389[/tex]

The margin of error for the 95% confidence interval is of 1.389 ounces per hour.

An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese. Use this information to answer the following questions.
a. What is the probability that a randomly selected adult is either overweight or obese? (Round your answer to 3 decimal places.)
b. What is the probability that a randomly selected adult is neither overweight nor obese? (Round your answer to 3 decimal places.)
c. Are the events "overweight" and "obese" exhaustive?
A. Yes because you cannot be both overweight and obese.
B. Yes because you can be both overweight and obese.
C. No because you may either be overweight or obese.
D. No because you may be neither overweight nor obese.

Answers

Answer:

a. The probability that a randomly selected adult is either overweight or obese is:

= 68.8%.

b. The probability that a randomly selected adult is neither overweight nor obese is:

= 31.2%

c.

D. No because you may be neither overweight nor obese.  The events "overweight" and "obese" are not exhaustive.

Step-by-step explanation:

Overweight adult = BMI ≥ 25 but < 30

Obese adult = BMI ≥ 30

Journal of the American Medical Association:

Overweight adult population in the United States = 33.1%

Obese adult population in the United States = 35.7%

The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population

= 33.1% + 35.7%

= 68.8%

The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%

= 31.2%

The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.

Can Someone Help Me. ? It’s Between A Or B

Answers

b option is the answer

I am sure

I think it is option b I’m not sure tho

1^12 multiplied by 3,268,584

Answers

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26

Answers

Answer:

22)

[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex]

[tex]Area:-[/tex]

[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]

-----------

23)

[tex]perimeter:-[/tex]

[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex]

[tex]Area:-[/tex]

[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]

----------

24)

[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]

----------

25)

[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]

------------

26)

[tex]A= 9\pi (x^3y)^2[/tex]

∴To calculate the perimeter , add the length of its sides.

∴To calculate the area, multiply its height by its width.

------------------------

hope it helps...

have a great day!!

The sales tax rate on a new vehicle is
6.5%. If the vehicle is $ 12,000, then how
much will you be charged for sales tax?

Answers

Answer:

$780

Step-by-step explanation:

12,000X6.5=78,000

78,000/100=780

Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?

Answers

Answer:

325

Step-by-step explanation:

.12x + 44 = .08x + 57

.04x = 13

x= 325

Find the value of x to make the rectangles similar.

Answers

Answer:

84

Step-by-step explanation:

126/42 = 3 Find the long side proportion

28 x 3 = 84 multiply by proportion

Solve the exponential equation: 6–2x = 62 – 3x

Answers

Answer:

the answer should be 56 :)

Step-by-step explanation:

Answer:

x=56

Step-by-step explanation:

Try to end up with only a single variable on one side.

Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x

or

6+x=62

Step 2: Subtract 6 from both sides. Example:

6+x-6=62-6

or

x=56

Step 3: You found the answer. Hope this helps and is correct.

f(x)=(-3^x+12)-2 what is the domain, range, x and y intercepts and vertical and horizontal asymptotes.

Answers

domain is xER (infinite)
range = {y|y < 10}
i don’t know the x intercept sorry but
y intercept = (0,9)
there’s no vertical asymptotes for this function
horizontal asymptote: y = -2

Mia practiced violin for 4⅛ hours per day for 5 days. How many hours did she practice?

Answers

Answer:

20 5/8

Step-by-step explanation:

convert mixed number into decimal by changing mixed number into an improper fraction then dividing

multiple by 5

boom you got your answer:p

Help please will mark brainliest!!!

Answers

93.9 or 17702.3 I think it’s the long 1 tho

What is the volume of the following rectangular prism?

Answers

Answer:

volume = 14 2/3 units³

Step-by-step explanation:

volume = 7 1/3(2) = 14 2/3 units³

Bailee plots two points on the coordinate grid. She put point J at (3,9) and (8,2)

Answers

Answer:

B. 8.6 units

Step-by-step explanation:

I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.

mike ran 1/2 mile during gym class . how many feet did he run.

Answers

2640 feet . i it hope it’s right

You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted? ​

Answers

hbngfthjhuiuttyui

Step-by-step explanation:

yiutujhyyiiyttthhuijc

What is the answer for 82-(72+1)

Answers

Answer:

The answer should be 9.

Step-by-step explanation:

The answer is 9 I used a calculator

If n −−√=9
then n=
Plz help

Answers

9514 1404 393

Answer:

  n = 3

Step-by-step explanation:

Any calculator, or your knowledge of multiplication tables, will tell you ...

  9 = 3×3

  √9 = 3

  n = 3


Please help worth 10 points

Answers

Answer:

2.5%

Step-by-step explanation:

ahhh has to be 20 characters

I would say 50 percent

Which figure correctly shows a horizontal reflection of the illustration?

Answers

Answer:

Step-by-step explanation:

B

HELP LOOK AT THE PHOTO

Answers

[tex]\bf{Hello!}[/tex]

The answer is 140°

Because we can use exterior angle property here

Exterior angle property : It states that exterior angle is the sum of two opposite interior angles

y = 120 + 20 = 140°

Answer:

140 degrees

Step-by-step explanation:

A triangle's sum of interior angles is 180.

120+20=140

180-140=40

So X= 40.

X and Y are supplementary, so they both add up to 180.

180-40=140

Therefore, Y=140.

Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return

Answers

Answer: $74.75

Step-by-step explanation:

Answer:

74.75 dolors i take test

Step-by-step explanation:

A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet

Answers

Answer:

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent study of 750 Internet users in Europe found that 35% of Internet users were women.

This means that [tex]n = 750, \pi = 0.35[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

The price of a computer component is the tracing at a rate of 10% per year if the components cost $90 today what will it cost in three years

Answers

Answer:

$119.79

Step-by-step explanation:

Year 1:

10% of 90 is 99

Year 2:

10% of 99 is 9.9

Year 3:

10 percent of 108.9 is 10.89

108.9+10.89= 119.79

Write an recursive formula for An, the nth term of the sequence
5, -2, -9,

Answers

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

[tex]a_n=a_{n-1}+(-7)[/tex]

[tex]a_n=a_{n-1}-7[/tex]

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].

Find the difference

Answers

Answer:

4x² - 2x + 5

Step-by-step explanation:

5x² - 1x² = 4x²

8x - 6x = 2x

2 + 3 = 5

= 4x² - 2x + 5

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

:))

find the interest and final payment. interest rate: 12%. previous balance: $4,800

Answers

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

Other Questions
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