The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle? Select all that apply. Triangle Side Lengths | 610 810 1 || 7 7 13 ||| 313 413 513 A. Triangle I B. Triangle II C. Triangle III D. None of the above E. All of the above

Answers

Answer 1

To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem :  [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)

Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)

So, correct answer is D


Related Questions

Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?

Answers

Answer:

I think it $10800

Step-by-step explanation:

I have not read how to sole

Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.

Answers

Answer:

282 Hours after 6 weeks

Step-by-step explanation:

Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!

For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?

Answers

I think it’s 2 because 14 divided 7 is 2

PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!

9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?

Answers

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988

Let x represent the cost of mailing the letter in 1938, hence:

x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

Find out more on equation at: https://brainly.com/question/2972832

what is the range of the data set 95,86,78,80,91

Answers

Answer:

17

Step-by-step explanation:

Range = Highest Value - Smallest Value

95 - 78 = 17

Answer:

17

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range.

95 - 78 = 17

Which statement describes the value of the expression below?
67x1/6

Answers

[tex] \frak{ \dfrac{67}{6} }[/tex]

Answer: 33.5

Step-by-step explanation:

. Mark drove 180 miles in 3 hours at
a constant speed. Let D equal the
distance traveled and t equal the time
traveled. Which of the following is
the constant of proportionality?

A) 3, as in D=3t

B) 60, as in D=60t

C) 180, as in D=180t

D) 540, as in D=540t

Answers

Answer:

d = 60t

Step-by-step explanation:

distance = d

time = t

every hour 60 miles are travelled so its 60t

referring to 60*time eg 60*3 = 180

The answer is B because since you traveled 180 miles in 3 hours you take 180/3 which is 60 and since D is equal to the distance traveled and t is the time in hours traveled D=60(3) which is 180

Puzzle in the picture. the answer should be 23, explain how you did it

Answers

Step-by-step explanation:

try this option, all the details are in the attachment.

Note, the nine numbers. used in the solution are: 1, 2, 3, 4, 5, 6, 7, 8 and 9.

HELPPPPPPPPPPPPPPPPPPPPPPPP ASAP

Answers

Answer:

The answers are D and then B.

Step-by-step explanation:

The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.

The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.

PLEASE HELP

the coordinate grid shows the plot of four equations

Which set of equations has 2,2 as its solution

A AND D

B AND D

A AND C

B AND C

Answers

In this case, you just have to find the lines passing (2,2) which is B and C

If the coordinates for C' are (4.5, 4.5), which rule best represents the dilation that was applied to rectangle ABCD to create rectangle A'B'C'D'?

Answers

The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle

The dilation rule is: (x,y) -> k(x,y)

How to determine the rule of dilation?

The coordinates of C' is given as:

C' = (4.5, 4.5)

The coordinate of point C is not given.

So, I will apply a general rule

The general rule of dilation is:

(x,y) -> k(x,y)

Where k represents the scale factor.

Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)

Read more about dilation at:

https://brainly.com/question/3457976

chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed

Answers

Answer:

'12 feet'

Step-by-step explanation:

Of these threee measurements, '12 feet' is closest to the height of a house.

X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT

Answers

The answer would be B.

A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²​

Answers

Answer:

1.8 cm

Step-by-step explanation:

Hope it will help...

A map has a scale of 1 cm to 4km.
The road from Carton to Ambridge measures 5.8cm on the map.
How far is it from Carton to Ambridge in Kilometers?

Answers

23.2Km, You just have to times 5.8 with 4

An employee at a veterinarian's office put
6.825 kilograms of cat food into serving
bowls. He put 0.065 kilogram into each
bowl.
How many bowls did the employee fill?

Answers

Answer:

105 Bowls

Step-by-step explanation:

6.825 ÷ 0.065 = 105 Bowls

Which quantity is proportional to 40⁄8?
Check all that are true.

10⁄5

120⁄36

20⁄4

5⁄1

120⁄24

Answers

Answer:

Step-by-step explanation:

10/5: not part of the answer. This gives 2. The original ratio gives 5.

120 / 36 is not part of the answer. This gives 3 1/3 which is not 5

20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5

The last 3 are the only ones you should choose.

Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE

Answers

Answer:

When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.

Need help! i have no idea how to do domain and range!!!://

Answers

Step-by-step explanation:

Dude THE Values for graph are given or not

solve the system:
y=5
3x+y=2

solve the system:
y=5
4x-y=7

solve the system:
2x+y=12
3x-y=3


HELP PLEASE

Answers

Answer:

3x+5=2

3×=2- 5

3x= -3

x=-1

4x-5=7

4x=7+5

4x=12

4x÷4=12÷4

x=3

2x+5=12

2x=12-5

2x=7

2x÷2=7÷2

x=3.5

3x-5=3

3x=3+5

3x=8

3x÷3=8÷3

x=2.6

Find the area - PLSS HELPP AND HURRY PLS

Answers

Answer:

40

Step-by-step explanation:

its just 4 x 10, move the triangle to the other side

unless its not a triangle lol

then i have no idea

It’s 40 because 4 x 10 is 40 and it’s width x height

the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?

Answers

Answer: 338 boys

1) Formulate an equation

The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.

2) Isolate the variable

Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.

3) Plug the variable

Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.

A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.​

Answers

The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.

Calculation of applied pressure on a surface

Pressure= force/area

Area of the circular table = πr²

where r = 75cm = 0.75m

Area of the circular table = 3.143 × 0.75 × 0.75

= 1.768m²

Force = 640 N

Pressure = 640/1.768

= 361.99

= 361.9 N/m² to 4 significant figures.

Learn more about pressure here:

https://brainly.com/question/25736513

does anyone know what mathia is?

Answers

Answer:

I think its some sort of learning platform. Search it up.

Step-by-step explanation:

PLS HELP ASAP!!

Choose the correct line of best fit for each of the scatter plots below.

Answers

Here you go! I have drawn lines connecting the matches :)

What is the value of n when 2/3 of n equals 42?

Answers

2/3 is 66%
So, 42*100/66= 63.6363…
N=64

Which list shows the decimals ordered from least to greatest?

0.71, 0.6, 0.716
0.39, 0.95, 0.395
0.4, 0.47, 0.482
0.19, 0.06, 0.2

Answers

Answer:

Least to greatest: 0.4, 0.47, 0.482

There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?

Answers

Answer:

15 days

Step-by-step explanation:

Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.

Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.

SOLVE equations, SHOW WORK, AND EXPLAIN

Answers

Answer:

They are not equivalent.

Step-by-step explanation:

5(3a+2)=15a+10

15a+10≠15a+2

Answer:

not equivalent.

Step-by-step explanation:

5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.

15a+10≠15a+2

if you wanted to go further, since 15a is equivalent, just take it out.

10≠2

Other Questions
I need help with this question. Please click on the linked photo below to find the question. Is this a fact or opinion ? HELP ASAP!!!!!!!!!!!!!!!!!!!! 3800 millimetres expressed in metres is Read the excerpt from Chapter 4.Anne of Green Gablesby Lucy Maud MontgomeryMatthew Cuthbert and his sister Marilla had decided to adopt a boy to help on their farm called Green Gables. When a girl, Anne, arrives, they are surprised. In this excerpt, Anne has just awoken after her first night at Green Gables.Anne could evidently be smart to some purpose for she was down-stairs in ten minutes time, with her clothes neatly on, her hair brushed and braided, her face washed, and a comfortable consciousness pervading her soul that she had fulfilled all Marillas requirements. As a matter of fact, however, she had forgotten to turn back the bedclothes.Im pretty hungry this morning, she announced as she slipped into the chair Marilla placed for her. The world doesnt seem such a howling wilderness as it did last night. Im so glad its a sunshiny morning. But I like rainy mornings real well, too. All sorts of mornings are interesting, dont you think? You dont know whats going to happen through the day, and theres so much scope for imagination. But Im glad its not rainy today because its easier to be cheerful and bear up under affliction on a sunshiny day. I feel that I have a good deal to bear up under. Its all very well to read about sorrows and imagine yourself living through them heroically, but its not so nice when you really come to have them, is it?For pitys sake hold your tongue, said Marilla. You talk entirely too much for a little girl.Thereupon Anne held her tongue so obediently and thoroughly that her continued silence made Marilla rather nervous, as if in the presence of something not exactly natural. Matthew also held his tongue,but this was natural,so that the meal was a very silent one.As it progressed Anne became more and more abstracted, eating mechanically, with her big eyes fixed unswervingly and unseeingly on the sky outside the window. This made Marilla more nervous than ever; she had an uncomfortable feeling that while this odd childs body might be there at the table her spirit was far away in some remote airy cloudland, borne aloft on the wings of imagination. Who would want such a child about the place?Yet Matthew wished to keep her, of all unaccountable things! Marilla felt that he wanted it just as much this morning as he had the night before, and that he would go on wanting it. That was Matthews waytake a whim into his head and cling to it with the most amazing silent persistencya persistency ten times more potent and effectual in its very silence than if he had talked it out.When the meal was ended Anne came out of her reverie and offered to wash the dishes.Can you wash dishes right? asked Marilla distrustfully.Pretty well. Im better at looking after children, though. Ive had so much experience at that. Its such a pity you havent any here for me to look after.I dont feel as if I wanted any more children to look after than Ive got at present. Youre problem enough in all conscience. Whats to be done with you I dont know. Matthew is a most ridiculous man.I think hes lovely, said Anne reproachfully. He is so very sympathetic. He didnt mind how much I talkedhe seemed to like it. I felt that he was a kindred spirit as soon as ever I saw him.Youre both queer enough, if thats what you mean by kindred spirits, said Marilla with a sniff. Yes, you may wash the dishes. 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