What is the measure of its remote interior angle?

What Is The Measure Of Its Remote Interior Angle?

Answers

Answer 1

Answer:<1=126° <2=54°

Step-by-step explanation:

sum of angles in a =180°

<2+90+36=180

<2+126=180

Collect like terms

<2=180-126

<2=54°

<2 and <1 are supplementary angles therefore their sum is equal to 180

<2 + <1=180

54 + <1=180

Collect like terms

<1=180-54

<1=126


Related Questions

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 15 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of wind speed recordings (taken at random intervals), the wind speed at the site averaged with a standard deviation of To determine whether the site meets the organization's requirements, consider the test, where μ is the true mean wind speed at the site and Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 15 mph when it actually _____ 15 mph."

Answers

Answer:

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Step-by-step explanation:

A Type I error happens when a true null hypothesis is rejected.

In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.

Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

3x+20=5x how many Solutions does it have

Answers

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

3x+20=5x only have one solution

Simplifying products and quotients of powers

7^2•7^8/7^4=7^a/7^4=7^b

A=
b=

Answers

Answer:

a=10

b=6

Step-by-step explanation:

add 2 to 8, to get a, then subtract 4 from 10 to get b

Answer:

10 and 6

Step-by-step explanation:

Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?

Answers

Answer:

a = 195 ; c = 615

Step-by-step explanation:

So, you want to start by forming your equations...

I will use 'c' for children and 'a' for adults for my variables

3a + 30 = c  

(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

then for equation 2:

3c + 5a = 2820

(this is because of the prices of the tickets and the total money raised)

Then, plug in the equation for c

Your equation should look like:

3(3a + 30) + 5a = 2820

You get:

(9a +90) + 5a = 2820

Then:

14a = 2730

So:

a = 195 adult tickets sold

Plug in a, to find c:

3 (195) + 30 = c

585 + 30 = c

c = 615 children tickets sold

At Pizza Pi, 80% of the pizzas made last week had extra cheese. If 16 pizzas had extra
cheese, how many pizzas in all were made last week?

Answers

Answer:

20 pizzas in total

bro now i want pizza

Step-by-step explanation:

16 pizzas = 80%

8 pizzas = 40%

4 pizzas = 20%

Kono Dio Da!!!

Please help me I’m stuck on this.


Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?


If u need more information tell me in the comments :)

Answers

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

Brainliest for anyone if they get this CORRECT.

Answers

hello

it is c

hehehehe hope it helps

Answer:

The option c. (x-6)(x-1)

Step-by-step explanation:

x^2 - 7x +6

S=-7

P=6

x^2-1x-6x+6

x(x-1)-6(x-1)

(x-6)(x-1)

Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?

Answers

Answer:

A pound of salmon costs 7 dollars.

Step-by-step explanation:

Let's use a ratio:

pounds : $$$

    8       :   56

    4       :    28

    2       :    14

    1        :     7

A pound of salmon costs $7

Answer:

Step-by-step explanation:

56 divided by 8 is 7 so the answer is 7$ for one pound of salmon

Charlotte is creating a triangular pennant with geometry software. The base measure of the pennant on screen is 550 pixels. The height is 275 pixels. Charlotte resizes the pennant, keeping the aspect ratio constant, so the height is 165 pixels. What is the scale factor of the dilation? What is the base of the pennant?

Answers

Answer:
Base-330 pixels
Scale factor- 3/5
Step by step explanation:
It’s a ratios for the base
275/550 = 165/x
275/550=.5
Solving for x would mean you divide 165/.5 and get 330
For the scale factor
275(x) = 165 where x is the scale factor and you solve for x by divinding 165/275

When a number is increased by 84%, the result is 72. What is the original number to the nearest tenth?

Answers

The original number is 72/1.84=39.1

Explanation: when you increase a number by 84%, you are multiplying it by 1.84
39.1 to the nearest tenth is 39.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!

Answers

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

Answer:

P represents the population in year 0

Step-by-step explanation:

As a reward for saving his daughter from pirates, the King has given you the opportunity to win treasures hidden inside two of three trunks. The trunk that does not hold any treasure is empty. To win, you must select the correct trunks. The inscriptions on Trunks 1, 2, and 3 are "This trunk is empty," "There is a treasure in Trunk 1," and "There is a treasure in Trunk 2." For each of the following statements, determine whether the Queen who never lies could state this, and if so, which two trunks contain the treasures.(a) The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?(d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

Answers

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined


f(x)=7x+3 and g(x)=-6x-8, find (f•g)(x) and (f•g)(-1)

Answers

Answer:

[tex](f*g)(x)=-42x^2-74x-24[/tex]

[tex](f*g)(-1)=8[/tex]

Step-by-step explanation:

[tex]f(x)=7x+3\\ g(x)=-6x-8[/tex]

[tex](f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24[/tex]

Now;

[tex](f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8[/tex]

Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?

Answers

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

consider the function f(x) = 2(3)^x. which of the function in the graph below represents f(x-4)?

Answers

Answer:D or k(x)

Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.

Parallel lines s and t are cut by a transversal, r.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.

If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°

Answers

Answer:

68°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal

Answer:

B.

Step-by-step explanation:

Find the sum of the interior angle measures of a convex octagon (an eight-sided polygon).

Answers

Answer:

1080

Step-by-step explanation:

:)

Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!

Answers

Answer: Exact Form:

(Radical 5) over 8

Decimal Form:

0.27950849

0.27950849

Step-by-step explanation:

Answer:

  C.  (√5)/8

Step-by-step explanation:

  [tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]

Whats is the 6+8-16

Answers

Answer:

-2

Step-by-step explanation:

6+8 equals 14. 14-16 equals -2

Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Step-by-step explanation:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

6th grade math! Help me please :)

Answers

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

x^2+(x-8)^2-3(x+2) = 2(x+9)

Answers

Answer:

There are two solutions:

x = 5/2 = 2.500

x = 8

Step-by-step explanation:

Daniel has $5000 in a savings account, has $7000 in investments, owns a
$10,000 car, and owns a $32,000 house. What is the total value of his large
assets?
O A. $42,000
B. $22,000
C. $12,000
D. $54,000

Answers

Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

What is large assest value?

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]

Hence, the total value of his large assets is $42,000.

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Sara Bought a computer that was originally priced at $896.The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer. Round to the nearest cent!

Answers

Answer:

$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.

Step-by-step explanation:

Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.



a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)


b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)


c. Answer part (b) for an increase of 100 psi. (2 marks)


d. Answer part (b) for a decrease of 100 ps

Answers

Answer:

(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.

Step-by-step explanation:

The given function is

[tex]y=1800+1.3x[/tex]

Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.

Part a is about finding the y-value for [tex]x=2500[/tex]

[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]

Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.

Part b is about the y-value for [tex]x=2501[/tex]

[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]

Part c is about the y-value for [tex]x=2600[/tex]

[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]

Part d is about the y-value for [tex]x=2400[/tex]

[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]

Solve for c.
6c + 14 = -5c + 4 + 9c

Answers

the answer for this question is c= -5

Answer:

C equal -5

Step-by-step explanation:

Look at the attachment


Please help

The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 17 days. About what percentage of births would be expected to occur within 51 days of the mean pregnancy​ length?

Answers

Answer:

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 17.

About what percentage of births would be expected to occur within 51 days of the mean pregnancy​ length?

51/17 = 3.

So, within 3 standard deviations of the mean.

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Element X decays radioactively with a half-life of 14 minutes if there are 680 grams of element X how long to the nearest 10th of a minute would it take the element to decay 17 grams

Answers

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

[tex]X(t) = X(0)e^{rt}[/tex]

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that [tex]X(14) = 0.5X(0)[/tex]

So

[tex]X(t) = X(0)e^{rt}[/tex]

[tex]0.5X(0) = X(0)e^{14r}[/tex]

[tex]e^{14r} = 0.5[/tex]

[tex]\ln{e^{14r}} = \ln{0.5}[/tex]

[tex]14r = \ln{0.5}[/tex]

[tex]r = \frac{\ln{0.5}}{14}[/tex]

[tex]r = -0.0495[/tex]

So

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

There are 680 grams of element X

This means that [tex]X(0) = 680[/tex]

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

[tex]X(t) = 680e^{-0.0495t}[/tex]

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

[tex]X(t) = 680e^{-0.0495t}[/tex]

[tex]17 = 680e^{-0.0495t}[/tex]

[tex]e^{-0.0495t} = \frac{17}{680}[/tex]

[tex]e^{-0.0495t} = 0.025[/tex]

[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]

[tex]-0.0495t = \ln{0.025}[/tex]

[tex]0.0495t = -\ln{0.025}[/tex]

[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]

[tex]t = 74.5[/tex]

It would take 74.5 minutes for the element to decay 17 grams.

A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen?

Answers

Answer:

Area=LW=(60m)(40m)=2400 m^2

Step-by-step explanation:

The area of the rectangular pen is 2400 square meters.

What are the area and parameters of a rectangle?

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.

Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,

Parameter of rectangle = 200

2(length + width ) = 200

given length of the pen is 60 meters

2(60 + width) = 200

width = 100- 60 = 40

Area of the rectangle = length * width = 60* 40 = 2400

Therefore, 2400 square meters will be the area of the given rectangular pen.

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I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?


Answers

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct

KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?

Answers

C+.5c+4c=$33 is the correct equation
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