Mathematics High School

Heng tried to define a reflection across line r.

Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.

Which counterexample shows that Heng's definition does not fully define a reflection?

Heng Tried To Define A Reflection Across Line R. Any Point M Not On The Line Of Reflection Maps To A

Answers

Answer 1

The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D

How to determine the counterexample

Consider the counterexample in which point M is above line r and the line itself is a vertical line.

Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.

However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.

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Related Questions

which graph showed exponential growth

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it should be Cordinate one

Need answer PLS will give brainiest

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Answer:

n=-6

Step-by-step explanation:

Write a expression shows an expanded form of -8x^3y^2(x^2-4y)

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Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2

Answers

The answer is D).

10/5 is 2 and the exponents will cancel out.

Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309

Answers

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

The numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

What are Decimal Numbers?

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.

The given number can be arranged from smallest to largest can be arranged as shown below. Therefore, we can write,

0.309 < 0.32 < 0.35 < 0.40

Hence, the numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

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1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2​

Answers

Step-by-step explanation:

1)

a-13b

2) b

3) -3d+14e

4)12x-11y

5)-3rs

6)8xy-10cs

7)

[tex] - 2 {x}^{2} - 4x + 7[/tex]

8)

[tex]8 {y}^{2} - 7[/tex]

Answer:

1. 6a - 3b

2. b + 6c

3.- 3d - 2e

4. 12x + 5y

5. -3rs - 14bc

6. 8xy - 8cs

7. -2x^2 - 8x + 3

Step-by-step explanation:

Subtract polynomials

Find the value of x:

Answers

Answer:

x = 17°

Step-by-step explanation:

2x - 4= 30° {being vertically opposite angles }

2x = 30° + 4°

2x = 34°

x = 17°

Hope it will help :)

What is the equation of the line that passes through the point (5, – 7) and
has a slope of o?

Answers

Answer:

The answer is

[tex]y = - 7[/tex]

Answer:

y = -7

Step-by-step explanation:

Hey :)

y = mx + b

*m is equal to the slope...

y = (0)x + b

Plug in the point you have...

-7 = (0) (5) + b

-7 = 0 + b

-7 = b

y = (0)x - 7

y = -7

Ignore the (0)x because anything multiplied by 0 is 0 so there's no point in having 0x in your equation.

Answer: y = -7

Hope this helps :)

In an election, 7/20 of the voters voted for a new school tax. What is the probability that a randomly selected voter did not vote for the tax? Express your answer as a percentage.

Answers

Answer:

65%

Step-by-step explanation:

so there were 20 total voters. 20-7 = 13 that did not vote for the tax

13/20= . 65 = 65%

answer choices:
A(0 , 4)
B(-5 , -10)
C(-4 , -12)
D(12 , 0)

​

Answers

Answer:

C your welcome, hope you pass

Solve the linear system by graphing
y=x+2 and y=-6x+9

Answers

Answer:

(1, 3)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Reading a Cartesian (Rectangular) planeSolving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect will be the solution set to the systems of equations.

If the lines are parallel, they will have no solution.

If the lines are the same, they will have infinite amount of solutions.

What is the value of 0.1562 rounded to the nearest hundredth place?

Answers

Answer:

0.16

Step-by-step explanation:

Can y’all help me with this?

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Answer:

this is binomial

3 is the degree of this equation.

answer the questions below

Answers

1= 96 in squares
2=$45.50

Use the square root property to solve: 5x^2+8 =133


Please help

Answers

Answer:

x = ± 5

Step-by-step explanation:

See the steps

5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

In a fish tank, there are 9 bluefish and 7 redfish.
How many fewer redfish than bluefish are there?

Answers

Answer:

arkadaşlar bu şeyler

Türkçeye nasıl cevriliyor

There are 2 fewer redfish than bluefish

9-7=2

Niccolo runs the first half of a race in 23.08 seconds and the second half of the race in 27.92 seconds. What is Niccolo's total time for the race?

Answers

Answer:

51 seconds

Step-by-step explanation:

23.08+27.92=51.00

Answer:

51 seconds

Step-by-step explanation:

Hope this helps

Can someone help me please

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Answer

43

Step-by-step explanation:

Inscribed angles
Please help!!!!!!!! With explanation!!!!!

Answers

Answer:

a = 72° b = 88°

Step-by-step explanation:

We know in the cyclic quadrilateral opposite angles are supplementary so

a + 108° = 180° { being opposite angles of cyclic quadrilateral }

a = 180° - 108°

a = 72°

b + 92° = 180° { being opposite angles of cyclic quadrilateral }

b = 180° - 92°

b = 88°

help 6x+6y=-6
x=-5y-13

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Answer:

what do you need help on?

Step-by-step explanation:

If you spin the spinner 75 times how many 2s would you get?

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Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

anyonee?
pleaseee help!!!!​

Answers

Step-by-step explanation:

Given

sin³ø cos ø + cos³ø sinø

= sin ø cos ø ( sin²ø + cos²ø)

= sinø cosø * 1

= sinø cosø

Hope it will help :)

There are 115 students in a music club 73 of them are girls what is the ratio of the number of boys and girls

Answers

Answer:

73:42

Step-by-step explanation:

1115-73=42

G : B

73 : 42

An example of the Commutative Property of Addition is ________

Answers

Answer:

Commutative property of addition: Changing the order of addends does not change the sum.

Step-by-step explanation:

For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.

all of the benches in the park are red or blue

Answers

Answer:

There's a 50% probability of all of them being red or blue

Step-by-step explanation:

More information needed

Answer:

Are you asking a question?

Step-by-step explanation:

5692 in standard form

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Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

help me.....

given condition A+B+C=180/2

prove that:
(sin2A+sin2B+sin2C)/(sin2A+sin2B-sin2C)=cotAcotB​

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Answer:

The answer is in Picture.

Step-by-step explanation:

Hope it is helpful....

Answer:

hope it's helps you have a great day keep smiling be happy stay safe

Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)

Answers

Answer:abcd

Step-by-step explanation:

"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",

(x, y) → (x, y + h)

If the vertices of a square are,

A(1, 2), B(3, 2), C(3, 4), D(1, 4)

If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,

A(1, 2) → A'(1, 2+5)

          → A'(1, 7)

B(3, 2) → B'(3, 2+5)

           → B'(3, 7)

C(3, 4) → C'(3, 4+5)

           → C'(3, 9)

D(1, 4) → D'(1, 4+5)

          → D'(1, 9)

Therefore, Option (A) will be the answer.

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When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the percent increase?

Answers

Answer:

about 31 percent

Step-by-step explanation:

Determine the dimensions of a rectangle whose area is 54 units2 and whose side lenghs are (x + 1) and (x – 2).
Answer-:
6 and 9

8 and 7

8 and -7

3 and 18

Answers

the answer is 8 and -7!!!!!!! it’s the 3rd option.
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