Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer 1

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer 2

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional


Related Questions

This Venn diagram has three regions.

In which region does any rectangle belong?


A

B

C
A Venn diagram that has Region A labeled 4 sides the same length, Region C labeled 4 right angles, and Region B which is the overlap of regions A and C.

Answers

Region c because a rectangle has two pairs of equal sides

In a store 8/300 of the shirts are yellow and 86/600 Are orange what percent of the shirts are not yellow or orange

Answers

Answer:

83%

Step-by-step explanation:

8/300 = 16/600

86 + 16 = 102

that leaves 498 that are not yellow or orange

so, 498/600 = 0.83 or 83%

dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home​

Answers

Answer:

Dele ;left home at exactly 7:35

Step-by-step explanation:

hope this helps

Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2

Answers

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

PQ is the perpendicular bisector of MN what is QN?

Answers

PN = PM

6x + 1 = 10x - 17

Add both sides 17

6x + 1 + 17 = 10x - 17 + 17

6x + 18 = 10x

Subtract both sides 6x

6x - 6x + 18 = 10x - 6x

18 = 4x

Divide both sides by 4

18 ÷ 4 = 4x ÷ 4

9/2 = x

x = 9/2

___________________________

QN = 2x + 5

QN = 2 × ( 9/2 ) + 5

QN = 9 + 5

QN = 14

Find the unit price for both quantities: 5 gallons of enamel paint for $62.00 and 8 gallons for $83.00

Answers

Answer:

Unit 1=  $12.4 per gallon

Unit 2= $10.375 per gallon

Step-by-step explanation:

Given

[tex]Quantity\ 1= 5\ gallons[/tex]

[tex]Price = \$62.00[/tex]

[tex]Quantity\ 2= 8\ gallons[/tex]

[tex]Price =\$83.00[/tex]

Required

The unit price

The unit price is calculated as:

[tex]Unit = \frac{Price}{Quantity}[/tex]

So, we have:

[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]

[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]

Unit 1=  $12.4 per gallon

[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]

[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]

Unit 2= $10.375 per gallon

An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863

Answers

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed

Answers

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3

What is the equation of the graph?

The general equation of this is;

y = A cos bx

We are told that the period of the graph is 8

We know that 2π/b = period

Thus;

2π/b = 8

b = ¹/₄π

We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4

Thus the required equation is y = -4cos(¹/₄πx) - 3

Read more about period of graph at; https://brainly.com/question/10700288

if 10 bags of ice cost $12, how much does 1 bag cost

Answers

Answer:

1.20

Step-by-step explanation:

[tex] 12 \div 10 = 1.20[/tex]

volume of a cube with side length of 5.2 cm.

Answers

Answer:

140.608

Step-by-step explanation:

The answer is 140.608

Jason baked 7 pans of brownies. He gave ¼ of the brownies to his two sisters. How many pans of brownies did he give to his sisters? *

Answers

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year. The expression 1.50b+1.50(18) represents the amount of money she expects to spend on bus rides for the entire year.

What part of the expression represents the amount of money Naomi expects to spend on bus rides between now and the end of the year?

A
b

B
1.50

C
1.50b

D
1.50(18)

Answers

Answer:

D, 1.50(18)

Step-by-step explanation:

just guessing lol

Find the area of the trapezoid by decomposing it into other shapes. A). 25. B). 25.5. C). 27.5. B). 35

Answers

Answer:

C) 27.5

Step-by-step explanation:

C) 27.5

The answer is C. 27.5

Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?

Answers

[tex] \huge \mathcal{ Answer࿐}[/tex]

Error (e) = 50 - 42 = 8 feet

assumed value (a) = 42 feet

[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

[tex] \mathrm{ \% \: error =\dfrac{8}{42}} \times 100[/tex]

[tex] \mathrm{ \% \: error = \dfrac{800}{42} }[/tex]

[tex]\mathrm{ \% \: error = 19.04 \%}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

What kind of property is used in the following example?

3 x 7 = 7 x 3


Identity Property


Associative Property


Distributive property


Commutative Property

Answers

Commutative Property

Which graph represents the PARENT function of y = x^2+ 3

Answers

Answer:

A is the correct graph of the parent function y=x^2

Step-by-step explanation:

While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph

Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.

Answers

Answer:Sorry i have no time to read it all bro

Step-by-step explanation:

In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]

Step-by-step explanation:

Answer:  15/27

========================================================

Explanation:

A = number of people who play basketball onlyB = number of people who play baseball onlyC = number of people who play both sports

5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So  A = 3.

12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.

We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.

Is this right? If not, what is it? PLEASE

Answers

Answer:

It is correct.

Step-by-step explanation:

A rice farmer employs 15 men to harvest his crop. The men take 12 days to do the job. If he had employed 9 men, how many days would it have taken them?

Answers

Answer:

15 men * 12 days = 180 man-days

180 man-days / 9 men = 20 days

From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.

Step-by-step explanation:

solve the system by substitution -4x+3y=-2 y=x-1

Answers

Answer:

Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2

-4x+3x-3=-2    

-x-3=-2

-x=1

x=-1

Step-by-step explanation:

Answer:

x = -1

y = -2

Step-by-step explanation:

If you look at the second equation, y is already isolated for us:

y = x - 1

so all we need to do is plug in the value for y into the first equation:

-4x + 3(x - 1) = -2

Next all we do is algebra:

[distribute] -4x + 3x - 3 = -2

[condense] -1x - 3 = -2

[add] -1x = 1

[divide] x = -1

Now that we have the value of x, we can use it to find y by plugging it in to either equation.

y = x - 1

[plug in] y = -1 - 1

[condense] y = -2

Answers: x = -1, y = -2

Please help!!
find the value of the trig ratio.

Answers

Background:

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Thinking Process:

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

Answer:

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

Write the equation of the line passing through the given points.

Answers

Answer:

a) y=4x-12

b) 4x-y=12

Step-by-step explanation:

1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4

2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12

3) rearrange into ax+by=c form

URGENT NEED HELP FAST LINKS WILL BE REPORTED

Answers

Answer:

Model B

Step-by-step explanation:

First, solve what each model means:

Model A:

6 boxes, 2 shaded

2/6=1/3

1/3 is approximately 33.35

Model B:

8 boxes, 3 shaded

3/8 is 37.5%

this is the answer, but we can go ahead and check the other boxes

Model C:

5 boxes, 2 shaded

2/5 is 40%

Model D:

7 boxes, 3 shaded

3/7 is approximately 42.9%

Lmk if you have more questions!

Click on the measure of angle s.
38°
) 152
142
38
52

Answers

Answer:

here,

38+X=180 (being straight line)

or,X=180-38

therefore, X=142 ans,,,

A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sample of 16 burritos and measure their caloric content. The sample mean and sample standard deviation of measured caloric contents of the 16 burritos are 700 calories and 50 calories, respectively. Suppose the caloric content of burritos is normally distributed. Based on the sample, which of the following is a 95% upper confidence bound for the mean caloric content of these burritos?
A. μ≤700+ t 0.05, 15x50/4
B. μ≤700+ t 0.025, 16x50/4
C. μ≤700+ t 0.025, 15x50/4
D. μ≤700+ z 0.05 x50/4

Answers

Answer:

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c

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 = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]

The margin of error is of:

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]

Upper bound:

The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]

And the correct answer is given by option c.

Write a problem that can be answered using the line plot​

Answers

Answer:

I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)

Step-by-step explanation:

Question #7

Jerry is creating a comer shelf for his house. Examine his sketch below.

8.5 in.

8.5 in.

Enter the area of the corner shelf, in square inches. Round your answer to the

nearest tenth.

Answers

Answer:

The area is 56.7 square inches

Step-by-step explanation:

Given

See attachment for corner shelf

Required

The area

The corner shelf is a quadrant with radius;

[tex]r = 8.5in[/tex]

The area of a quadrant is:

[tex]Area = \frac{\pi r^2}{4}[/tex]

So, the area of the corner shelf is:

[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]

[tex]Area = \frac{\pi * 72.25}{4}[/tex]

[tex]Area = \pi * 18.0625[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = 3.14 * 18.0625[/tex]

[tex]Area = 56.7[/tex] -- approximated

Which equation represents a linear function x=-5, y=3x4+7, x2-1=y, y=15x+10

Answers

Answer:

y=15x+10

Step-by-step explanation:

This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.

It is not x=-5 because that would be a straight vertical line.

It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.

ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?

Answers

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Other Questions
Meteorologists often try to predict what the high temperature of a day will be several days beforehand. Why do meteorologists not try to predict the high temperature of a day six months in the future?A. Weather does not follow any predictable patterns.B. Meteorologists have this information but choose not to share it with the public.C. It is impossible to know what season it will be six months in the future. D. Weather is a highly complicated system that is very difficult to predict.HELP Respond to the questions with where each country is located using your new lesson vocabulary. Rponds aux questions avec des phrases compltes.O se trouve la France?O se trouve l'Allemagne?O se trouve le Luxembourg?O se trouve l'Italie?O se trouve le Canada?O se trouve le Mexique? how does the author's discussion of George Orwell's 1984 contribute to the text(paragraph 8) How many moles of NO are made frommixing 7.2 moles of NH3 and 9.6 molesof O? Identify the limiting reagent. a description about agriculture A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let 'H' be the plant's height (in centimeters) after 'M' months.Write an equation relating 'H' to 'M'. Then use this equation to find the plant's height after 34 months.Equation:________ What is the end behavior of this radical? f(x) = 4 square root x - 6 Work out the mean for the data set below: 5, 6 Give your answer as a decimal. In early April 2020, an amendment to the annual budget for 2020 was approved by the city council for inflows and outflows in the Street Improvement Bond Debt Service Fund related to the bond issue. The debt service fund budget amendment provides for estimated other financing sources of $20,000 for the premium on bonds sold and estimated revenues of $12,500 for accrued interest on bonds sold; and appropriations in the amount of the one interest payment of $25,000 to be made during 2020. (The payment that is due on July 1, 2020.)Required:Record the budget for the Street Improvement Bond Debt Service Fund for year 2020. What do the people of America want more than anything else? To my mind, they want two things: work, with all the moral and spiritual values that go with it; and with work, a reasonable measure of securitysecurity for themselves and for their wives and children. Work and securitythese are more than words. They are more than facts. They are the spiritual values, the true goal toward which our efforts of reconstruction should lead. These are the values that this program is intended to gain. Franklin D. Roosevelt, July 2, 1932 According to Roosevelt, what do Americans value the most? having a career that is personally fulfilling and enriching being safe from wars and the dangers of military conflicts being able to freely follow a religion or spiritual belief having a job that pays the bills and knowing that work will be steady August decides not to dress up in his ordinary planned costume for Halloween because...A. it is too difficult to put on when he is in a hurryB. he decides he does not want to wear a costume at allC. he forgot the mask at his grandmother'sD. he is afraid that other students will wear the same one need help ace plsss Whats the cheapest car 2021 How has non-renewable energy and technology improved but at the same time endangered our way of life ? (4 Points) a . Fossil fuels have allowed most countries to Improve their industry, economy, and livelihood. However, these nonrenewable energy sources have also caused environmental degradation of natural resources, ecosystems, and climate change. Technology or alternative energy is cleaner, and more sustainable which promotes a longer llfe expectancy for all specles. B. Non-renewable energy is great for our environment. The use of fossil fuels has been a great ecosystem service to the environment. Alternative energy such as Solar Power may cause mass extinction. Why do you think slave owners wanted the slaves to be afraid? Why would they want slaves to have low self esteem? (Feel bad about themselves) Is this SOH, CAH, or TOA? Explain why youre correct. Simplify (-32) divided by (-4) Example 1Suppose you are playing a card game with a standard deck of playing cards and you are dealt four cards, one after another, from the top of the deck. Leave answers in percent form. A. P(four aces)B. P(four hearts)C.P(four face cards) What is the line segment from the center of the circle to any point on the circleplease help me Answer this question filipino swimmers 2019 in sea games?