The pie chart below shows information about
the electronic devices that a shop sold in
January.
The shop sold 900 electronic devices in total in
January.
In February, the shop sold the same numbers of
tablets, desktop computers and laptops as in
January, but sold 40% more mobile phones.
If a second pie chart was drawn showing the
shop's sales in February, what would the central
angle of the mobile phones section be?
Give your answer in degrees (°) to 1 d.p.
Electronic devices sold in January
70°
84
60
146°
Key
Desktop computer
Laptop
Tablet
Mobile phone
Not drawn accurately

The Pie Chart Below Shows Information Aboutthe Electronic Devices That A Shop Sold InJanuary.The Shop

Answers

Answer 1

The central angle of mobile phones section in February be 91°

Given,

The total number of electronic devices sold by a shop in January = 900

According to pie chart

900 implies 360°. Therefore, 900/360 = 2.5

Now lets check the number of devices sold in January:

Desktop = 60° ⇒ 60 × 2.5 = 150

Laptop = 146° ⇒ 146 × 2.5 = 365

Tablet = 84° ⇒ 84 × 2.5 = 210

Mobile = 70° ⇒ 70 × 2.5 = 175

Its given that in February, all other numbers are same except Mobile phones.

40% more mobile phones are sold in February than in January.

So, number of mobile phones sold in February = 175 × (140/100) = 245

Now lets calculate the total number of devices sold in February:

900 - 175 = 725

725 + 245 = 970

970 devices sold in February.

According to pie chart:

970 implies 360 = 970/360 = 2.69

Now lets check the degree in pie chart for each devices,

Desktop = 150 ⇒ 150/2.69 = 55.7°

Laptop = 365 ⇒ 365/2.69 = 135.5°

Tablet = 210 ⇒ 210/2.69 = 78°

Mobile = 245 ⇒ 245/2.69 = 91°

That is, the central angle of mobile phones section in February be 91°

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Related Questions

add 45.071 + 2.95 =

Answers

Answer:

45.071+2.95= 48.021

Step-by-step explanation:

That's the answer

Answer:

48.021

Step-by-step explanation:

ella bought 2.7 yards of fabric for $3 per yard how much did she spend

Answers

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b

Rewrite, using the distributiveproperty.16b-8b = ([?]-8)b = [?]b

Answers

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

m∠B=52

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}

A researcher conducts a one-way ANOVA in which one independent variable has four levels.
(a) How many different groups are in this study?
(b) How many different factors are in this study?

Answers

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?

the are the awnsers :
a:30 : 54
b:6 : 10
c:10 : 45
d:27 : 15

Answers

Answer:

a

Step-by-step explanation:

5 times 6 = 30

9 times 6 = 54

Answer:

was it correct the guy above me answers?

find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)

find the probability that a point chose a t random on the part of the number line shown will lie between

Answers

The probability of point being in between B and C is 0.167

A probability definition is what?

Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

What are examples and probability?

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

Distance between B and C= 4 units

Total distance=24

Probability that point lie between B and C = 4/24 =1/6

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Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!

Evaluate the function.
f(x) = -3.x2 - 6x +1
Find f(8)

Answers

Answer:

-50.82

Step-by-step explanation:

((0−3.82)−6×8)+1

(-3.82−6×8)+1

(-3.82−48)+1

-51.82+1

-50.82

What percent of 69 is 87? ​

Answers

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 69 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 69, so we can write it down as 100%=69.

4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.

5. Now we have two simple equations:

1) 100%=69

2) x%=87

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=69/87

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 69

100%/x%=69/87

(100/x)*x=(69/87)*x       - we multiply both sides of the equation by x

100=0.79310344827586*x       - we divide both sides of the equation by (0.79310344827586) to get x

100/0.79310344827586=x

126.08695652174=x

x=126.08695652174

now we have:

87 is 126.08695652174% of 69

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

Determine the equation of the circle with center (0,−6) containing the point (−\sqrt{28 },3)

Answers

I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

A boat sails on a bearing of 73 degrees for 128 miles and then turns and sails 209 miles on a bearing of 190 degrees. Find the distance of the boat from its starting point.

Answers

Answer:

189.14 miles.

Step-by-step explanation:

This is a vector problem.

A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.

The sum of angles in a triangle = 180°

We need to find the third angle.

180° = 90° + 73° + x°

x° = 180° - (90 + 73) °

x = 180° - 163°

x = 17°

The boat then turns and sails 209 miles on a bearing of 190 degrees.

Since it is sailing 190°, it is sailing more than 180°

= 190° - 180° = 10°

This would lead to the formation of another triangle let us call it ABC

Hence, we would have:

90° - ( 10 + 17)°

90° - 27° = 63°

To find the distance of the boat, we would use Cosine rule.

a² = b² + c² - 2bc × Cos A

a = √(b² + c² - 2bc × Cos A

b = 128 miles

c = 209 miles

A = 63°

a = √(128² + 209² -2 × 128 × 209 × Cos 63°)

a = 189.14199miles

Approximately 189.14 miles.

Therefore, the distance of the boat from it's starting point is 189.14 miles.

At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the
number of chickens at Mr. Hynd's ranch?

A 4/7
B 11/4
C 4/11
D 7/4

Answers

7/4 because you simplify

The length of the side of the cube is 5x units, what is the volume of the cube?

Answers

Answer:

The side length of the cube is 5 cm. Then the volume is simply 5\times 5\times5 = 125

LxWxH

The volume of a cube is the cube of the length of the side of the cube. The volume of the cube whose side length is 5x units is 125x³ units³.

What is the volume of a cube?

The volume of a cube is the cube of the length of the side of the cube. Therefore, the formula can be written as,

The Volume of the cube = a³

Given the length of the side of the cube is 5x units. Therefore, the volume of the cube will be,

Volume of the cube = a³ = (5x)³ = 125x³ units³

Hence, the volume of the cube whose side length is 5x units is 125x³ units³.

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which equation can be used to find t the total price of the feed?

Answers

Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

What is the difference between a reasonable and unreasonable time algorithm?

Answers

Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.

What is Unreasonable time algorithms?

When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.

Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.

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32. At 8 AM, the temperature was 3°F below zero. By 1pm, the temperature rose

14F and by 10 PM, dropped 12. Plot points and draw arrows on the number

line below to model this situation.


What was the temperature at 10 PM? Explain how the number line helped you

find your answer.

Answers

Answer: - 1°F

Step-by-step explanation:

Given that:

At 8a.m:

Temperature = 3°F below 0

By 1p.m ; Temperature rose by 14F ;

By 10pm ; temperature dropped by 12F

Temperature at 10 pm:

3°F below 0 = - 3°F

Temperature at 1pm: temperature increased by 14°F

-3°F + 14°F = 11°F

Temperature at 10pm: temperature dropped by 12°F

11°F - 12 = - 1°F

32. At 8 AM, the temperature was 3F below zero. By 1pm, the temperature rose14F and by 10 PM, dropped

um i dont know how to do this so like help ​

um i dont know how to do this so like help

Answers

How to find slope: y2-y1/x2-x1. This is point slope form. You can look it up if you don’t understand :)
Y intercept is when the point that passes the y line. aka when x=0.

Function 1 Slope: -1/2
Function 1 y-intercept: 1

In the second function, it is in the form of y=mx+b (look it up for further reference)
Function 2 slope: 3/4
Function 2 y-intercept: 4


Now to do the comparison questions...
1) function 2
2) function 2
3) function 1


Good luck hope this helped!!

I need help with question 5, I need an answer pls

I need help with question 5, I need an answer pls

Answers

5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

How to create a function that can be used to find the number of parrots t years after 2010?

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

P(t) represents the population.t represents the time or number of years.I represents the initial value of the population.r represents the decay rate.

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Determine if the given lines are parallel, perpendicular or neither. line a: 6x - 12y = -24 line b: 3y = 2x + 18

Answers

Answer: n = 1/2; m = 2/3

Step-by-step explanation:

A ⇒ 12 y = 6x + 24

\(y=\frac{n}{2}+2\)

\(n=\frac{1}{2}\)

B ⇒ 3y = 2x + 18

\(y=\frac{2}{3}n+6\)

\(m=\frac{2}{3}\)

∴ Lines are neither because slop diff.

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in 2017 as well as the projections for 2022. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Excel File: data 12-23.xlsx Country Use Social United United Media Kingdom China Russia States Yes 480 215 343 640 No 320 285 357 360 a. Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. Using a 0.05 level of significance. 1. H. : P1 + P2 = P3 = P4 2. H. : P1 = P2 = P3 = P4 3. H. : P1 + P2 = P3 + P4 Choos correct answer from above choice 2 + Ha: Not all population proportions are equal What is the p-value?

Answers

Based on the given data, we can calculate the sample proportions of adults using social media for each country as follows:

United Kingdom: p1 = 480/(480+320) = 0.6

China: p2 = 215/(215+285) = 0.43

Russia: p3 = 343/(343+357) = 0.49

United States: p4 = 640/(640+360) = 0.64

To test whether the proportion of adults using social media is equal for all four countries, we can use a chi-squared test of independence with the null hypothesis:

H0: P1 = P2 = P3 = P4

And the alternative hypothesis:

Ha: Not all population proportions are equal

We can calculate the expected frequencies for each cell assuming the null hypothesis is true, and use these to calculate the chi-squared test statistic:

Expected frequency for Yes-UK = (480+320) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 400

Expected frequency for No-UK = (320+480) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 400

Expected frequency for Yes-China = (215+285) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 320

Expected frequency for No-China = (285+215) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 320

Expected frequency for Yes-Russia = (343+357) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 350

Expected frequency for No-Russia = (357+343) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 350

Expected frequency for Yes-US = (640+360) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 500

Expected frequency for No-US = (360+640) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 500

Using these expected frequencies and the observed frequencies, we can calculate the chi-squared test statistic:

chi2 = sum((observed - expected)^2 / expected) = (480-400)^2/400 + (320-400)^2/400 + (215-320)^2/320 + (285-320)^2/320 + (343-350)^2/350 + (357-350)^2/350 + (640-500)^2/500 + (360-500)^2/500 = 33.49

The degrees of freedom for this test are df = (r-1)(c-1) = (2-1)(4-1) = 3, where r is the number of rows (2 for Yes/No) and c is the number of columns (4 for the countries).

We can then use a chi-squared distribution with 3 degrees of freedom to calculate the p-value for the test:

p-value = P(Chi2 > 33.49) = 0.00000031 (using a chi-squared calculator)

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If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y

Answers

Z = -2

Y = 5

is your answer

Which of the following graphs represents the equation y-2 = 3(x - 1)?

Which of the following graphs represents the equation y-2 = 3(x - 1)?

Answers

Answer:

Graph B

Step-by-step explanation:

The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.

.jjkjjjhygybhnjuikjuhyb

Answers

Answer:

okay...

Step-by-step explanation:

which two parts of the vehicle are most important in preventing traction loss

Answers

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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(1 point) to avoid collisions with invasive species of aliens, new imperial regulations allow only positive integer space jumps parallel to the three space axes defined in the jedi council's booklet of rules and regulations. how many ways can the millenium falcon travel from earth with coordinates (4,1,0) to the wookiee smugglers trading place at (11,4,3)?

Answers

The total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18

The Millennium Falcon can travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) in a total of 18 different ways. The number of ways to travel can be determined using the concept of a combination with repetitions.

The formula for combinations with repetitions is (n+k-1)!/((n-1)!*k!). For this problem, we have n = 3 and k = 8, where n is the number of dimensions of space, and k is the total distance traveled along each axis. Therefore, the total number of ways to travel is (3+8-1)!/((3-1)!*8!) = 18.

The 18 different paths are determined by the combination of the 8 steps taken along each of the three axes, with each step being either positive or negative. Therefore, each path can be written as a 3-tuple (a,b,c) where a,b, and c are the total number of positive and negative steps taken along each of the three axes.

For example, one of the paths from (4,1,0) to (11,4,3) is (5,5,5), meaning that the Millennium Falcon would travel 5 positive steps along the x-axis, 5 positive steps along the y-axis, and 5 positive steps along the z-axis.

In conclusion, the total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18, determined using the concept of combinations with repetitions.

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Can someone please graph this? I'll give brainliest!

Can someone please graph this? I'll give brainliest!

Answers

Answer:

Add cheese to the Mac and you’ll be igh

Step-by-step explanation:

Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary ​

Using the following diagram, determine the values of x, y, and z.State the solution in simplest radical

Answers

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

How to evaluate the values of x, y, and z for the triangle

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.

Can someone help me ASAP its due tomorrow. I will give brainliest if its all done correctly. Show work.

Answers

127 is the answer

there are 5 even number of card in deck of card i.e 2,4,6,8,10. there are 4 acrds in each number of single number card.ie. spade,club,heart,diamond.

there is total number of card is 52.

and the trials goes on 330 times so.

the procedure is 5×4÷52×330= 126.9 which means 127 even cards.

Triangles 1 and 2 are similar. What ratio relates a side length of triangle 1 to the corresponding side length of triangle 2? Fill in thebox to complete the ratio.25.528022.562A8BTriangle 1Triangle 2to 12

Answers

If triangles 1 and 2 are similar then ratio of two sides is 25:52

A triangle is a polygon with edges and three terminals. It belongs to the basic geometric shapes. A triangle containing the angles A, B, and C is referred to by the term ABC.

Any three Euclidean points that are not collinear result in a triangle and a rectangle. In other words, any triangle is exclusively covered by that plane and is contained within that plane.

We know that any two triangles are similar by three axioms:

SSS , AAS , SAS or AAA axiom of similarity.

In the Euclidean plane, every triangle is contained within a single plane, but in higher-dimensional Euclidean spaces, this is no longer the case. This article addresses triangles in terms of geometry, more specifically the Euclidean plane, unless otherwise stated.

ratio of the sides of two triangle are in same ration when the triangles are similar

Now given ratio is 25:52, hence the ratio of the sides will be same.

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Employees who work on commission typically work ineducation There are times when you either have to cheat, or else you will never get ahead in the world. I need to get ahead, so it is OK for me to cheat occasionally.Passage [DOES/DOES NOT] commit a fallacy; specifically, it [DOES/DOES NOT] commit the fallacy of false dichotomy. Divide. Write the answer as a mixed number in simplest form.8115 = 250 = a construction company builds a new rail line from town a to town b they complete 1 1/4 miles in first week of work and 1 and 2/3 miles in the sconed week .if they still have 25 and 3/4 miles left to bulid what is the distance from town a to town b 1) Suppose that a group of U.S. election reformers argues that switching to a system based on proportional representation (PR) would significantly increase turnout. Skeptics claim that the reform would not have a significant effect on turnout. The following table, which reports mean turnouts and accompanying standard errors for PR and non-PR countries, will help you determine which side the reformers or the skeptics is more correct.Electoral systemMean turnoutStandard errorPR69.51.9Non-PR61.21.7a) State the null hypothesis for the relationship between type of electoral system (PR/ non-PR) and turnout.b) (i) Calculate and write down the 95 percent confidence intervals for turnouts in PR and non-PR countries. (ii) Based on a comparison of the 95 percent confidence intervals, should the null hypothesis be rejected or not be rejected? (iii) Explain how you know.c) (i) Calculate and write down the mean difference between PR and non-PR countries. (ii) What is the standard error of the difference between the PR mean and the non-PR mean? (iii) Does the mean difference pass the eyeball test of significance? (iv) Explain how you know. 3. What humdrum routines mark the daily life of the narrator and his sister? The Polaris Company uses a job-order costing system. The following transactions occurred in October: a. Raw materials purchased on account, $210,000. b. Raw materials used in production, $190,000 ( $178,000 direct materials and $12,000 indirect materials). c. Accrued direct labor cost of $90,000 and indirect labor cost of $110,000. d. Depreciation recorded on factory equipment, $40,000. e. Other manufacturing overhead costs accrued during October, $70,000. t. The company applies manufacturing overhead cost to production using a predetermined rate of $8 per machine-hour. A total of 30,000 machine-hours were used in Octobet. 9. Jobs costing $520,000 according to their job cost sheets were completed during October and transferred to Finished Goods. h. Jobs that had cost $480,000 to complete according to their job cost sheets were shipped to customers during the month. These jobs were sold on account at 25% above cost. Prepsre T-sccounts for Manufacturing Overhesd and Work in Process. Post the relevant transactions from above to each account. Compute the end each sccount, assuming that Work in Process has a beginning balance of $42,000. John bought 9.25m of cloth for Php 425.50. Find the cost price per metre. *A. Php 26.00B. Php 36.00C. Php 46.00D. Php 56.00 A form of oxygen with three atoms ofoxygen bonded together instead of two iscalled what?A. triple oxygenB. ozoneC. oxygen-3D. trioxygen what was new and different for the art students' course of study at the bauhaus school of design? quizler hitting, kicking, spitting, and verbal insults are all signs of group of answer choices A) assertion. B) aggression. C) annoyance. D) mild anger. What did Mussolini take advantage of to seize power in Italy? Consider a simple economy that produces only pies. The following table contains information on the economy's money supply, velocity of money, price level, and output. For example, in 2019, the money supply was $360, the price of a pie was $9.00, and the economy produced 800 pies. Please I need really need help I will give you brainlyest and give you points which system of units is used by only a small number of countries in the world, including the u.s guess the next two terms in a sequence -64, 32, -16,8 Determine the solution for the equation.45 - k = 27, k = 15, 16, 17 help poor mi............ How would you rewrite this sentence to correct the problem with the modifier? The broken teachers car sat in the parking lot while she waited for a tow truck.