LESSON 12-1 Properties of Translations Practice and Problem Solving : A / B

Answers

Answer 1

We found that translations have the following three properties: line segments are taken to line segments of the same length;

angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.

Properties of Translations

- Distance Where the lengths of the segments stay the same.

-Angle Measures These remain the same.

-Parallelism Where the parallel lines will stay parallel.

-Collinearity The points will stay on the same line.

-Orientation The order of the letters will stay the same.

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Related Questions

i'm stuck on this question! solve for x. assume that lines which appear tangent, are tangent.

Answers

Answer:

7

Step-by-step explanation:

The formula for intersecting chords creating which create the limits of arcs and associated angles is

<HES = 1/2 (ARC HS + ARC GF)

<HES = 1/2 (ARC 51 + ARC 195)

<HES = 1/2 (246)

<HES = 123

What that tells you is that <GEF =  the same thing because <HES and <GEF are vertically opposite.

Now I am going to assume that <HES = 16x + 11. This is not a sure thing, but I assume it is what is intended.

16x + 11 = 123           Subtract 11 from both sides

16x = 123 - 11

16x = 112                  Divide by 16

x = 112/16

x = 7

What is the coefficient of y2 in the expression 2x2y 15xy2 7y?

Answers

Let x be the coefficient of y^2 in the expression 2x^2y+15xy^2-7y. So x=0.

What is co-efficient?

A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves.

Write an example of co-efficient.

As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.

The given algebraic expression is 2yx^2+15xy^2-7y.

The terms are xy^2, yx^2 any y^2

So the co-efficient of y^2 is 0

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What is the experimental probability of how many times on even number was actually rolled using the table?

Answers

Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.

Hope that helps.

Nevaeh earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She is about to take Exam B that has a mean of 36 and a standard deviation of 10. How well must Nevaeh score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Nevaeh's score in Exam A of 850, where the mean and standard deviation are 550, and 100, indicates, using the z-score, that in Exam B with a mean and standard deviation of 36 and 10, respectively, her score should be 66.

What is a z-score?

A z-score is an indication of the number of standard deviations, a data point is from the mean.

The score Nevaeh earned in Exam A, x₁ = 850

The mean score for Exam A, μ₁ = 550

The standard deviation for Exam A, σ₁ = 100

The mean score for Exam B, μ₂ = 36

The standard deviation for Exam B, σ₂ = 10

A quantity that can be used to evaluate Nevaeh's score for Exam A is the z-score, which can be expressed as follows;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Nevaeh's z-score for Exam A is therefore;

[tex]z = \dfrac{850 - 550}{100} =3[/tex]

Nevaeh's performance on Exam B in order for her to do equivalently well as she did on Exam A is obtained by using a z-score of 3 for her performance in Exam B as follows;

[tex]z = 3 = \dfrac{x_2 - 36}{10}[/tex]

3 × 10 = x₂ - 36

30 = x₂ - 36

x₂ = 30 + 36 = 66

Nevaeh's score on Exam B should be 66 in order for her to perform equivalently well as she did in Exam A

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Two children take turns breaking up a rectangular chocolate bar 6 squares wide by 8 squares long. They may break the bar only along the divisions between the squares. If the bar breaks into several pieces, they keep breaking the pieces up until only the individual squares remain. The player who cannot make a break loses the game. Who will win

Answers

The player who goes first will win.

This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.

Therefore, The player who goes first will win.

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How does the formula S=2B+Ph apply to finding the surface area of a right prism?

Answers

Answer S−2BP=h

Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h

Hopefully this helps!

brainlest if it rightt

The daily recommended allowance of vitamin c for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowence of vitimin c. How many milligrams are in 1 orange?

Answers

Proportionately, the quantity of milligrams of vitamin c in 1 orange is 33.75 mg.

What is proportion?

Proportion refers to the part of a whole contained in another value.

Proportion is a ratio representation, which is fractional in value.'

We depict proportions using decimals, fractions, or percentages.

The daily recommended allowance of vitamin c for a sixth grader = 45 mg

The content of 1 orange to the daily recommended allowance = 75%

75% of 45 mg = 33.75 mg.

Thus, 1 orange will proportionately contain 33.75 mg, which is 75% of 45 mg.

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What does -= mean in Python?

Answers

In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.

As we know an operator is nothing but a symbol that represents a mathematical or logical process.

We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.

If m -= n

This means,  the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.

i.e., m = m - n

-= is an assignment operator.

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What is the value of F (- 3 2 where F x )= 4x2 3x 7 2?

Answers

The value of F (- 3 2 where F x )= 4x2 3x 72 is:

F ( -3) = - 27 and F (2) = - 62

What is function?

In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.

As per the given function F(x), x is the independent variable and F (x) is the dependent variables.

generally, we write F(x) = y

What is the value of F ( -3, 2) for the function given in question?

given, F (x) = 4x² - 3x -72

F (x) is a function of x

for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72

F (- 3) = - 27

again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72

F (2) = - 62

from the above calculation, we find (-3, 2) are domain of function F (x) and

(- 27, -62) are ranges of the above function.

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What is the inverse of f(x) = -6(x - 2)?

Answers

Answer: f^-1 (x) = -x/6 +2


Explanation: to find the inverse, interchange the variables and solve for y.

PLZS HELP If Mary bought 12 of the Brand X batteries, how many of them lasted less than 15 hours? (Please show how you calculated this to get your answer

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP !!

What is the missing reason for line 6 in this proof?

Answers

Answer:  Choice D

CPCTC

This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.

Can someone tell me how to do this?
solve 4x + 3 = 11
x = ?​

Answers

Answer:

x = 2

Step-by-step explanation:

4x + 3 = 11

(4x + 3) - 3 = 11 - 3

4x = 8

4x/4 = 8/4

x = 2

As you can see, to isolate x, we must do the opposite operations to both sides.

Please answer correctly I’ll mark you brainlist!

Answers

Answer: width = 4m, perimeter = 26m

Step-by-step explanation:

area of rectangle = width x length

9x = 36

x = 4

width = 4m

perimeter:

9 + 9 +4+4 = 26 m

How do I solve problem 7?

Answers

Answer:

16ᵗʰ Term of the sequence is 1010

Step-by-step explanation:

7.)

Here,

First Term = a₁ = 5

Common Difference = d = 67

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 5 + (16 - 1) 67

a₁₆ = 5 + 15 × 67

a₁₆ = 5 + 1005

a₁₆ = 1010

Thus, 16ᵗʰ Term of the sequence is 1010

-TheUnknownScientist

Dante built a wooden, cubic toy box for his son. Each side of the box measures feet.How many cubic feet of toys will the box hold?

Answers

Answer:

Cubic feet of toys box hold = 30 cubic feet

Step-by-step explanation:

Missing information;

Length of toy box = 5 feet

Width of toy box = 3 feet

Height of toy box = 2 feet

Find:

Cubic feet of toys box hold

Computation:

Cubic feet of toys box hold = Volume of rectangular box

Volume of cuboid = [l][b][h]

Cubic feet of toys box hold = [5][3][2]

Cubic feet of toys box hold = 30 cubic feet

Find C using Special right triangles

Answers

The length c of the right angle triangle is 9 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

The sides of a right angle triangle can be found using trigonometric ratios as follows:

Therefore,

sin 60° = opposite / hypotenuse

where

opposite side = c

hypotenuse side = 6√3 ft

Hence,

sin 60° = c / 6 √3

cross multiply

c = 6√3 × sin 60

c  = 6√3 × √3 / 2

c = 6 × 3 / 2

c = 18 / 2

Therefore,

c = 9 units

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Esme buys x magasins at $2.45 each and y cards at $3.15 each. Write down an expression, in terms of x and y, for the total cost, in dollars, of the magasins and cards

Answers

Answer:

2.45x + 3.15y

Step-by-step explanation:

→ Multiply the price of the magazines by the number

2.45x

→ Multiply the price of the cards by the number

3.15y

→ Add the answer together

2.45x + 3.15y

What is the value of b?
33°
7b-5°
10b-22°

Answers

Answer:

35 i think hope it helps you

thank you

At the movie theatre, child admission is $5.10 and adult admission is $8.90. On Sunday, 156 tickets were sold for a total sales of $1145.20. How many child tickets were sold that day?

Answers

let y = number of child tickets so the total 0f 34 child tickets is sold at that day.

Define substitution.

To calculate an expression's value by substitution, integers are substituted for letters in the expression.

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

let x = number of adult tickets

let y = number of child tickets

x = 4y  (four times as many adult tickets as child tickets

8.4x + 5.1y = 1315.8

but we can substitute 4y for x

8.4(4y) + 5.1y = 1315.8

33.6y + 5.1y = 1315.8

38.7y = 1315.8

y = 34 and x = 4Y

x = 136

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05. Divided by 26.75

Answers

Answer:

53.5

Step-by-step explanation:

I think this is what you're looking for

Answer:

0.18691588785

If you meant 26.75÷5, it would be 5.35.

When can parallelism make your algorithms run faster when could it make your algorithms run slower?

Answers

When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.

What algorithm is parallelizable?

The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.

When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.

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Adrian purchased a new car in 2007 for $27, 100. The value of the car has been
depreciating exponentially at a constant rate. If the value of the car was $12, 300 in
the year 2013, then what would be the predicted value of the car in the year 2023, to
the nearest dollar?

Answers

Answer:

2344 .

Step-by-step explanation:

n/a

Which of the lines below is parallel to y = 7x + 5
a. y = -1/7 x + 1
b. y = 7x - 3
c. y = -7x + 10
d. y = 1/7 x - 20

Answers

The answer is b I hope this helps

I need help please! In each case below, list the lettered measures for angles or sides in descending order (FROM GREATEST TO LEAST).

Answers

Answer:

β, α, γ

Step-by-step explanation:

The figure only shows us the side lengths of the triangle, but is asking for the angles.

Thus, we have to use the angle relationships of a triangle to answer the question.

⭐What are the angle relationships of a triangle?

the angle opposite of the largest side is the largest anglethe angle opposite of the smallest side is the smallest angle

α° is opposite of the side length with 9 cm.

β° is opposite of the side length with 12 cm.

γ° is opposite of the side length with 5 cm.

∴ The angles from highest to the least are β, α, γ

IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE BRAINLIEST :-)

Answer:

Step-by-step explanation:

The answer should be BAY but if i check it don't work

Eden is working on an experiment for her science fair project. She is planting a total of 10 herbs for an herb garden. She is going to plant basil and mint. The basil plants cost $.50 per plant and the mint plants cost $.25 per plant. Eden has a total of $3 to spend on plants because she also has to purchase potting soil and a long planter pot. Write a system of equations and solve either using elimination or substitution.

Answers

A system of equations for this problem can be written as:

x + y = 10 (1) equation for the total number of herbs planted

0.50x + 0.25y = 3 (2) equation for the total cost of the herbs

Where x is the number of basil plants and y is the number of mint plants.

Using substitution, we can solve the system of equations.

Solving equation (1) for x, we get x = 10 - y

Substituting this into equation (2) we get:

0.50(10 - y) + 0.25y = 3

5 - 0.50y + 0.25y = 3

5 = 0.75y + 3

0.75y = -2

y = -2/0.75 = -8/3

So, Eden planted -8/3 mint plants, which doesn't make sense, as a fraction of plant are not possible. This implies that either the number of plants or the amount spent are incorrect or something is missing in the problem description.

A mountain on a tropical island experiences changes in its height due to volcanic activity. Its current height is 2,827 meters, which is 10% taller than it was when the mountain was last measured. How tall was it then?

Answers

Answer:

2,570 meters

Step-by-step explanation:

110% of what number is 2827

1.1x = 2827  Divide both sides by 1.1

[tex]\frac{1.1x}{1.1}[/tex] = [tex]\frac{2827}{1.1}[/tex]

x = 2570

Use the dropdown boxes below to complete the statement about the following quadratic function: g (x) = -5x^2 + 10x The function has a [ Select ] value of [ Select ] that occurs at x equals [ Select ] .

Answers

Answer:

i dont see boxes and yea

Step-by-step explanation:

How can 7/8 and 5/6 as a pair of fractions with the smallest common denominator?

Answers

Answer:

7/8 as 21/24 and 5/6 as 20/24

Step-by-step explanation:

8: 8, 16, 24, 32, 40

6: 6, 12, 18, 24, 30

7/8 x 3/3 = 21/24

5/6 x 4/4 = 20/24

-x+6=-2(x+2)-5
Solve for x

Answers

Answer:

x = -15

Step-by-step explanation:

-x+6=-2(x+2)-5

Solve for x

-x + 6 = -2(x + 2) - 5

-x + 6 = -2x - 4 - 5

x = -15

------------------------

check

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

the answer is good

x = -15

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Because vaccines contain strains of a disease, some people think that they might catch the disease or become ill. However, that is not the case. The germs in vaccines do not pose a risk. The human body reacts to the vaccine by making antibodies. This is helpful because antibodies help fight diseases that are caused by germs. Some people claim that vaccines are not safe because they contain harmful ingredients. People worry that the mercury and aluminum found in some vaccines are linked to life-threatening side effects. However, public health organizations such as the Centers for Disease control (CDC) and the Food and Drug Administration (FDA) stress that the ingredients in vaccines are safe. The amount of chemical additives in a vaccine is very small, and the ingredients are controlled by scientists. Vaccines contain only trace amounts of chemical additives, so they pose little or no risk to the majority of people. 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