Mathematics High School

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.

Answers

Answer 1

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

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Answer 2

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

What are translation and rotation?

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Related Questions

The property taxes on a house were $2610. What was the tax rate if the house was valued at $290,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.

Answers

2 610 / 290 000 *100 = 0.9 %

Less than 1%

The tax rate if the house was valued at $290,000 was Less than 1%.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that property taxes on a house were $2610.

We need to find the tax rate if the house was valued at $290,000.

Therefore,

2610 / 290 000 x 100 = 0.9 %

Hence, the tax rate if the house was valued at $290,000 was Less than 1%.

Learn more about multiplications;

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If a florist uses 100 roses to make 5 identical flower arrangements, how many roses would the florist use to create 4 identical arrangements

Answers

Answer:

80 roses

Step-by-step explanation:

Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.

If John is leaving a 15% tip on $24 what is the amount of money he is leaving?

Answers

Answer:

Just the tip: $3.60, Total amount: $27.60

Step-by-step explanation:

Multiply 24 by 0.15 to find what 15% of 24 is.

Abdul's average speed is 30 mph in heavy traffic, and his average speed is 50 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 2 hours, how far did Abdul travel?

Answers

Answer: Abdul traveled 130 miles

Step-by-step explanation:

Step 1

Using the formula to calculate how far Abdul traveled

Distance = speed x time.

Step 2---- Solving

In heavy traffic

Distance covered = speed x time = 30miles /hour x 1 hour = 30 miles

In light traffic

Distance covered = speed x time = 50miles/ hour x 2 hour = 100 miles

Total distance covered = Distance covered in heavy traffic + distance covered in light traffic = 100+ 30 = 130miles

5/6 divided by 2/3 (please show work!)

Answers

Answer:

Theres the work sorry if im wrong

Step-by-step explanation:

6 and 2

3 =10/18

Answer:

5/4 or 1 1/4

Step-by-step explanation:

Multiply by the reciprocal:

5/6 • 3/2

Reduce with the greatest common factor, which is 3:

5/2 • 1/2

Finally, multiply:

5/4 or, as a mixed fraction, 1 1/4

if y = 4 when x = -4 find y when x = 7

Answers

Answer:

-7

Step-by-step explanation:

Assuming y and x are the opposites of each other, when x = 7 y must be -7.

What is the value of the expression - 13 x (-1.6)?

Answers

Answer:

20.8

Step-by-step explanation:

Whats -4 + 3x=8x-9+3

Answers

Answer:

=2/5

Step-by-step explanation:

Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?

Answers

The probability is 1/6

The likelihood of Sally spinning a multiple of 3 is 2/6 (or 1/3).

The likelihood of her flipping a tail is 1/2.

To find the probability of two independent events, multiply said individual probabilities together.

(1/3)(1/2) = 1/6

What is the value of b? b+4 b+38 b-19

Answers

Answer: For the first one b can be a higher or lower number

for the second one b can be a higher or lower number and the last one must be a higher number

Step-by-step explanation:

hope this helps :D

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What is the constant of proportionality for each situation below and what does it mean?
First y = 1.5x
Second:
y
= 7/4x
оа
Ob
First: 1.5 cups of flour per cup of sugar Second: 7/4 cups of flour per cup of sugar
First: 5 cups of flour per cup of sugar Second: 4 cups of flour per cup of sugar
First: 1 cups of flour per cup of sugar Second: 7.4 cups of flour per cup of sugar
Question 5 (2 points)

Answers

Answer:

What is the question tell me clearly.

Step-by-step explanation:

1. y/x=1.5 and what is the other question???

andre is writing a paper for science class he can type 30 words per minute what is the ratio of words to minutes

Answers

Answer:

30words

30/ 60 = 1/2

The ratio is 1:2

Thank you and please rate me as brainliest as it will help me to level up

Order these three values from least to greatest. Explain or show your reasoning using the "show your work option".
65% of 80
82% of 50
170% of 30

Answers

82% of 50, 170% of 30, 65% of 80. (in order: 41, 51, 52)

.Factor the expression using the GCF.
8y - 6x

Answers

Answer:

2(4y - 3x)

Step-by-step explanation:

Helps me solve this problem please

Answers

Answer:

the slope is 1/2 to this

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.

515x + 285y = 11,080
x + y = 30

515x + 285y = 30
x + y = 11,080

515x + y = 30
x + 285y = 11,080

x + 285y = 30
515x + y = 11,080

Answers

Answer:

515x + 285y = 11,080

x + y = 30

Step-by-step explanation:

x= Amount of laptops

y= Amount of tablets

Answer:

Your answer would be A

Step-by-step explanation:

515x + 285y = 11,080

x + y = 30

Plis answer me this question is do tomorrow

Answers

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

Put the steps in order?

Answers

1) distribute 2 to each term within the parentheses

2) combine like terms . ( which means you would subtract 6 - 2 )

3) subtract 4 from bout sides of the equation

4) divide both sides of the equation by 4

5)final answer x = 1/4

What is a pair of complex numbers called?

Answers

Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

help? brainliest if i can..

Answers

Answer:

C y=2x-6

Step-by-step explanation:

the diffrence in each one is two by using two as slope you get -6 as y intercept.

Answer:

y = 2x - 6 (Third option)

Step-by-step explanation:

(-6, -18), (-1, -8)

m = (-8 - (-18)) / (-1 - (-6))

m = (-8 + 18) / (-1 + 6)

m = 10 / 5

m = 2

-8 = 2(-1) + b

-8 = -2 + b

b = -6

y = 2x - 6

Hope this helps!

Help ASAPPP PLEASEEE AND THANK YOUUY

Answers

Do a checkered pattern then each rows would have two

And each column should have one

number 9?? please help.

Answers

Answer:

x= 3

Step-by-step explanation:

∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)

(25x)° +(57 +x)°= (45x)°

25x° +x° +57°= 45x°

26x° +57°= 45x°

45x° -26x°= 57°

19x°= 57°

x°= 57° ÷19

x°= 3°

∴ x= 3

Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

yes

Step-by-step explanation:

a,p,e,x

Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
$38.88
$43.20
$47.52
$48.60

Answers

A 38.88

Trust me it works

38.88 is the correct answer

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A segment of length 94 cm has been rotated degrees around a center . What is the length of the rotated segment?

Answers

Answer:

Rotation does not change lengths.

Hi Have a good day :)

Answers

Answer:

Thank you so much!!

Step-by-step explanation:

Have a good day also :)

Answer:

Thanks :)

Step-by-step explanation:

Find the sum of the prime numbers less than 21

Answers

Answer:

1;3;5;7;11;13;17;19 add all the number

Answer:

Step-by-step explanation:

Prime numbers less than 21 are

2, 3,5,7,11,13,17,19

Sum= 79

Which of these is a prime number?
733
712
702
725

Answers

Answer:

733

Step-by-step explanation:

712 and 702 end in 2, so they're divisible by 2.

725 ends in 5, so it's divisible by 5.

733 is not divisible by 2.

7 + 3 + 3 = 13, so 733 is not divisible by 3.

It looks like 733 is the prime number.

Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8 turkeys, it will cost her $705.75. How much is each ham?
How much is each turkey?

Answers

Answer:

turkey=$32.786

ham=$26.086

Answer:

I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.

Step-by-step explanation:

Hope this helps!

Write a rule for the translation of ABC to A' B' C'

Answers

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

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