What is a nickname for a rotation and what is a nickname for a reflection. Math

Answer:D 18

Step-by-step explanation:you take 6 and times it by three

Step-by-step explanation:

Using SOH CAH TOA

sin#=opp/hyp

sin35=x/20

20sin35=x

x=11.4715

x=11.5

Answer:

Diameter is twice a radius.

Step-by-step explanation:

Answer:

Radius is half the diameter

Step-by-step explanation:

Radius is always half the diameter, and can be used to find diameter, as well as diameter can be used to find radius.

Answer:

a: 5

b: (0, -2)

c: 3

d: (0, 11)

Step-by-step explanation:

Hope this helps!

Answer: (3,3)

Step-by-step explanation:

Answer:

Isometry: An isometry is a transformation that maintains congruency.  This means that the transformation does not change the figure's size or shape.

Make sure your child is familiar with the Cartesian coordinate system including the horizontal x-axis, the vertical y-axis, and the (x,y) convention used for locating points.

If you have not already done so, you may wish to review this congruency lesson with your child.

Translations

This section will help your child to translate congruent figures on a Cartesian plane. It will also introduce translation vectors which show the distance and direction of the translation.

Translations

Figure J is the pre-image. Figure S is translated.

A figure is a translation if it is moved without rotation.

Translation Vector

A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically.

figure being translated

Vectors translations can be written as shown in either of these two ways:

format example for writing vectors

This vector can be said to be ray AB or vector D.

You translate a figure according to the numbers indicated by the vector.  So if one point on a figure has coordinates of (-3,3)  and the translation vector is (-1,3), the new coordinate is (-4,6). You add or subtract according to the signs in the numbers in the vector.

Work through the two examples below with your child to see how to apply translation vectors.

square translated on cartesian grid

The red square's coordinates are:

(-4,3); (-4,8); (-9,3); (-9,8).

What are the coordinate pairs under a translation vector of (1,-1) as shown by the blue square?

The new coordinates are:

(-3,2); (-3,7); (-8,2); (-8,7).

You can see that the translation did not move the figure far because the vector translation is small.

square translated on cartesian grid

We will try a different vector translation of (3,-9) on the same red square

The new coordinates are:

(-1,-6); (-1,-1); (-6,-6); (-6,-1).

Get you child to try the next example. Do not look at the answer until he or she has tried to work it through the task.

single triangle on cartesian grid

Task: Translate ΔABC with a vector translation of (6,-2)

Steps:

Find the coordinates of Δ ABC.

Add 6 to the X coordinates and subtract 2 (or add -2) from the Y coordinates.

Plot the new coordinates on the grid.

Answer and Explanation

Coordinates of ΔABC are:

(-5,1); (-2.5,7); (0,1)

Add 6 and subtract 2

A1 = (-5 + 6, 1 - 2) = (1,-1)

B1 = (-2.5 + 6, 7 - 2) = (3.5,5)

C1 = (0 + 6, 1 - 2) = (6,-1)

Plot ΔA1B1C1

Rotations

This section will show your child how to rotate a figure about the origin on a Cartesian plane. Work through the two examples below:

Note: Make sure your child knows that the origin is the intersection of the X and Y axes; (0,0) on the Cartesian plane.

Rotation Transformation: Example 1

Look at the four triangles on the Cartesian plane below. Each one is rotated about the origin as shown in the table.

Triangle B Triangle C Triangle D

90° rotation of Triangle A about the origin 90° rotation of Triangle B about the origin 90° rotation of Triangle C about the origin

 180° rotation of Triangle A about the origin 180° rotation of Triangle B about the origin

   270° rotation of Triangle A about the origin

The coordinates are:

Triangle A (-2,2) (-10,2) (-6,8)

Triangle B (2,2) (2,10) (8,6)

Triangle C (2,-2) (10,-2) (6,-8)

Triangle D (-2,-2) (-2,-10) (-8,-6)

Note the pattern in the coordinates for corresponding vertices on the triangles.

Rotation Transformation: Example 2

The coordinates of Pentagon ABCDE are:

(0,4); (7,4); (9,2); (7,0); (0,0)

Pentagon ABCDE is rotated 180° about

the origin making the coordinates of

Pentagon A1B1C1D1E1:

(0,-4); (-7,-4); (-9,-2); (-7,0); (0,0)

Note how the coordinates of

corresponding vertices are opposite

integers (just the +/- sign is different).

This is always the case with 180°

rotations about the origin.

Reflections

This section will help your child to reflect a figure over an axis on a Cartesian plane

Work through the two reflection examples below.

Reflection Transformation: Example 1

The coordinates of LMNO are:

(-7,5); (0,5); (-2,1); (-5,1)

LMNO is reflected over the X-axis

making the coordinates of

L1M1N1O1:

(-7,-5); (0,-5); (-2,-1); (-5,-1)

Note how the x-coordinates remain the

same but the y-coordinates change to

their opposite integer (i.e. the sign changes).

This is always the case with reflections over the X-axis.

Step-by-step explanation:

The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given that,

X' are (5,11).

now, See attachment

Required that,

The image of Z i.e. z'

From the attachment:

X =(7,11)

This implies that:

X' = ( x- 2, y)

Using the same rule for z;

z=(8,7)

z' = (8-2, 7)

z' = (6,7)

Hence, The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

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Answer:

chicken

Step-by-step explanation:

Answer:

15x

Step-by-step explanation:

because i multiply i side by side and copy the variable

Answer:

- x² + 8x - 15

Step-by-step explanation:

Given

(5 - x)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

5(x - 3) - x(x - 3) ← distribute parenthesis

= 5x - 15 - x² + 3x ← collect like terms

= - x² + 8x - 15 ← in standard form

Answer:

1/4

Step-by-step explanation:

The probability that a student has a brother given that they do not have a sister 9/7.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\[/tex]

In a class of 22 students, 13 have a brother and 15 have a sister.

There are 3 students who do not have any siblings.

3 students don't have a sibling.

The probability that a student has a brother given that they do not have a sister is;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\ \rm P(E)=\dfrac{13+15-22+3}{22-15}\\\\\rm P(E)=\dfrac{31-22}{7}\\\\ P(E)=\dfrac{9}{7}[/tex]

So, the probability that a student has a brother given that they do not have a sister 9/7.

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Answer:

D

Step-by-step explanation:

Growth rate is exponential, and rate is 100%

Answer:

d

Step-by-step explanation:

Answer:

+13+3−2

Step-by-step explanation:

+ 1 3 + 3 -2 :) I am no 100% sure if it is wrong I am sorry

Answer:

-6 and -7

Step-by-step explanation:

Sorry if its wrong

Answer:

14. non- proportional

15.it will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.

We will use proportions to solve our given problem.

To find the time taken to add 16 seats, we will  in our proportion as:

Therefore, it will take 88 minutes to add 16 seats.

To find the time taken to add 19 seats, we will  in our proportion as:

Therefore, it will take 104.5 minutes to add 19 seats

Answer:

20 keyboards and mice, 10 cameras.

Step-by-step explanation: They need the same number of keyboard and mice, and they want to get half the amount of cameras they do keyboard and mice. They have a budget of $1500 so 20 keyboards and mice as well as 10 cameras is the most optimal purchase.

30*20=600

20*20=400

50*10=500

600+400+500=1500

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

Answer:

The answer is 30

Please give me Brainliest it would mean a lot

Answer:

x=2

Step-by-step explanation:

equation=carry over the -3x

1x-5=-3

1x=5+-3

x=2

:) Hope this helped!

Answer:

Attach a picture of the shape for the sides already known...

Step-by-step explanation:

Answer:

the answer is a tell me if this helps!!

Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

The expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

The two given expressions are [tex]\frac{x+3}{3+x}[/tex] and [tex]\frac{3-x}{x-3}[/tex].

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

[tex]\frac{x+3}{3+x}=\frac{x+3}{x+3}=1[/tex]

Now, [tex]\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=-1[/tex]

Therefore, the expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

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Answer:

angle ABE = 55 degrees

Step-by-step explanation:

(3x-8) + (x+14) = 90

4x+6 = 90

4x = 84

x = 21

angle ABE = 3(21)-8 = 55

Answer:

he is correct because 12 of the boys can whistle and only 9 of the girls can whistle and 9 is a smaller number than 12 so he is correct

Answer:

we ALL know that its 22!    ヾ(≧▽≦*)o

lol

Answer:

80%

Step-by-step explanation: