Arnav knows that (3,4,5) and (5,12,13) are pythagorean triples. He wants to show that (15,20,25) is also a pythagorean triple. Besides using the converse of the pythagorean theorem, is there another way Arnav can show that (15,20,25) is a pythagorean triple?

Answers

Answer 1

Answer:

easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)

Step-by-step explanation:

Answer 2

Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

What are similar figures?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

M = k × L units

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.


We're given that:

(3,4,5) is a pythagorean triple.

Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).

Scale each side of ABC by scale factor of 5, then we get:

(15, 20, 25) as a triple.

When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.

That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).

Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.

Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

Learn more about scale factor here:

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Related Questions

The cost to the store is $45. They will use a 35% markup. What is the selling price?

Answers

35% of $45 is $15.75
And the selling price is Cost + Markup
Therefore $45 + $15.75 = $60.75

A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?

Answers

So to find out what number 2070 is 86% of you do:
x(86/100)=2070
and solve for x.
after you solve you will get; 2407 mg
so the recommended daily amount is 2407 my

Answer:

2,407mg of sodium is the recommended daily amount

Step-by-step explanation:

Using the cross multiplication you will get the answer.

1. make the problem as a fraction   [tex]\frac{2070}{x} =\frac{86}{100}[/tex]  

2. Cross multiply (2070*100=86*x)

3. Simplify the equation left. 207000 = 86x

                                                 2407 ≈ x   (Divide both sides by 86)

The system of equations y = negative 3 x + one-half and y = one-fifth x minus 1 and four-fifths is shown on the graph below.

What is a reasonable estimate for the solution?
(0.7, –1.7)
(–1.7, 0.7)
(1.4, –3.3)
(–3.3, 1.4)

Answers

Answer:

the -1,17,0.7 but if i get it wrong i can give u free points

Step-by-step explanation:

Answer:

-1,17,0.7

Step-by-step explanation:

The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32

Answers

Answer:

x>3

Step-by-step explanation:

3x+2>x+8

   -2      -2

3x>x+6

-x    -x

2x>6

/2   /2

x>3

The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.


What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that inequality is  3x+2>x+8. The inequality will be solved as below,

3x+2>x+8

3x>x+6

2x>6

x>3

Hence, the solution is x>3.

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1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. Line
M passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.

Answers

Answer:

Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now,

Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5

Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]

If the lines L and M are parallel to each other,

m = n

or, 0.5 = [tex]\frac{-2}{W-1}[/tex]

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

An owner buys a used car for $9000. How much is the markup if the percent markup is 7%? Show your work or explain your reasoning to justify your answer.

Answers

Answer:

$9,630

Step-by-step explanation:

7% of $9000 is $630, so you just add $9000 and $630.

Please only 10% of people are smart to answer this

Answers

Answer:

it's the one highlighted in orange

Step-by-step explanation:

I hope this helps with your question :)

The inverse of F(x) is a function.

Answers

Answer:

Step-by-step explanation:

the word inverse refers to the opposite of another operation.

The inverse of the function f is denoted by f -1.

If you found my answer useful then mark me brainliest.

What is the volume of a cone with a radius of 6 inches and height of 15 inches .

Answers

Answer:

565.49 inches cubed

Step-by-step explanation:

Answer:

V = approximately 565.49 in3

Evaluate each expression if k = -3, 55 - k

Answers

Step-by-step explanation:

=55-k

=55-(-3)

=55+3

=58

hope it helps.

Answer:58

Step-by-step explanation:

=55-(-3)

=55+3

=58

If you found my answer useful than mark me brainliest.

How many questions are in math map 7th grade

Answers

Answer:

It really depends how well you are doing. It varies from time to time. Mine was about 40-50 questions

Please help as soon as possible

Answers

Answer:

2.2.6

Step-by-step explanation:

1 1/5 - 1/3 =18/15 - ?

Answers

Answer:

25/66

Step-by-step explanation:

Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?

Answers

12x42=504

504 cents earned every day when 42 papers are delivered

For a week= 504x7

3528cents

Answer:

3,528 cents = 35 dollars and 28 cents

Step-by-step explanation:

She earns 12 cents for each paper delivered.

=> She earns: 12 x 42 = 504 cents a day

=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.

That is probably the answer you're expecting.

But you shouldn't.

One customer might need more than 1 paper a day, so there's no clear answer to your question.

4(-3)(-2)
How do
I do this?

Answers

Answer:

4(-3)(-2) = 24

Step-by-step explanation:

first solve the numbers in parenthesis.

4(-3)(-2)

= 4(6)

the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.

now solve for 4(6).

4(6) = 24

please help meeeeeeright now

Answers

The answer is 4 pairs.

Think of having x number of pairs, and $4.29x for the price of those pairs. 8.58 is standalone, so we focus on writing the equation:

[tex]8.58+4.29x=25.74\\4.29x=25.74-8.58\\4.29x=17.16\\\frac{4.29}{4.29}=\frac{17.16}{4.29} (division)\\x=4[/tex]

a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD

Answers

Is anyone’s Brainly ads not working

Answer:

D. The actual price is 12.5% higher than the expected price.

Step-by-step explanation:

hope i helped :)

Give the ratio for tangent (0) in decimal form to 4 digits.
13
4
7.

Answers

Answer:

0.5714

Step-by-step explanation:

tan theta = perpendicular upon base that is P/B

P= 4

B= 7

P/B = 4/7 = 0.5714

PLEASE HEL ME FAST I NEED HELP PLEASE

Answers

Answer:

24

Step-by-step explanation:

divide 120 by the days.

hope this helps!

Answer:

It is 21

Step-by-step explanation:

If an angle not acute straight or obtuse it must be a?

Answers

Answer:

It could be a right angle or a reflex angle

It can be either a reflex or right angle :)

What is the answer to the problem?

30 = -5(m + 6) + m

Answers

30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

Answer:

m=−15

what does 20 times 90 equal

Answers

Answer:

1800

Step-by-step explanation:

Well the easiest way to do this is just do

9 x 2 = 18 and since in 20 and 90 there are two zeroes, add two zeroes at the end of 18!

Answer:

its equals 1,800

Step-by-step explanation:

The graph shows the reciprocal parent function.

Which statement is true?


A. The function has no intercepts.

B. (1,1) is the x- and y-intercept of the function.

C. (0,0) is the x- and y-intercept of the function.

D. (0,1) is the x- and y-intercept of the function.

Answers

I think the answer is C

Answer:

A

Step-by-step explanation:

Is 2/3 less than 2/8

Answers

Answer:

No

Step-by-step explanation:

If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps

Is the number 1.13 greater than, less than or equal to 1

Answers

1.13 is greater than 1

Ivy and Andrey were asked to find an explicit formula for the sequence -100,-50,0,50,...−100,−50,0,50,...minus, 100, comma, minus, 50, comma, 0, comma, 50, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis.
Ivy said the formula is f(n)=-100+50(n-1)f(n)=−100+50(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 100, plus, 50, left parenthesis, n, minus, 1, right parenthesis.
Andrey said the formula is f(n)=-150+50nf(n)=−150+50nf, left parenthesis, n, right parenthesis, equals, minus, 150, plus, 50, n.
Which one of them is right?

Answers

Answer:

both

Step-by-step explanation:

38) Find the slope of the line containing the points (2, 7) and (-5, -4).
A. 711
B. 117
C. −511
D. -1

Answers

Answer:

B. 11/7

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-4 - 7) / (-5 - 2)

-11 / -7

= 11/7

Write value of each digit in 167.7

Answers

The 1 is 100
The 6 is 60
The first 7 is 7
The second 7 is 0.7

The place value of every digit in 167.7 is:

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

What is place value?Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred. The place value of 7,432 is 7,000, or 7,000, however.

So, place the value of each digit of 167.7.

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

So, the place value of each digit is shown.

Therefore, the place value of every digit in 167.7 is:

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

Know more about place value here:

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help due in 30 min!!!!!!!!!!!!!!!

Answers

Answer:

They have the same slope

Step-by-step explanation:

slope=4

Please answer the question attached, marking brainliest (serious answers only)

Answers

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

Answer:

b = 36

Step-by-step explanation:

a+117 = 180 ( being straight angle)

a = 180 - 117

a = 63

Now,

81 + 63 + b = 180 ( being sum of interior of triangle)

144 + b= 180

b = 180 - 144

b 36

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