a rotation of 180 degrees maps figure A onto itself. It has

Answers

Answer 1

Letter A doesn't show rotational symmetry of 180 degrees.

The letter 'A' has just one vertical line of symmetry.A vertical line of symmetry is that line which runs down a picture thus dividing it into two identical halves. In other words, it's a straight standing line that divides an image or shape into two identical halves.

The rotational symmetry of a shape explains that when an object is rotated on its own axis, the form of the object looks the same. Many geometrical shapes appear to be symmetrical once they are rotated 180 degrees or with some angles, clockwise or anticlockwise. A number of the examples are square, circle, hexagon, etc.

Complete Question-  A rotation of 180 degrees maps figure A onto itself. It has transformation or not?

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Related Questions

What was done to the linear parent function, f(x) = x, to get the functiong(x) = ?A. Horizontally compressed by a factor of 6B. Vertically stretched by a factor of 6C. Vertically compressed by a factor of 6D. Shifted unit up

Answers

Given

Two functions

[tex]\begin{gathered} f(x)=x \\ g(x)=\frac{1}{6}x \end{gathered}[/tex]

Procedure

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

This data shows the height of 10 trees, in metres, after 5 years’ growth.

2.1

2.5

2.2

2.4

2.2

2.7

2.4

2.3

1.9

2.6

Calculate the median, showing your answer to two decimal places and remembering to include units with your answer.

Answers

The median of the given data would be 2.35 meters.

What is the median of data?

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

The given set of data as:

{2.1, 2.5, 2.2, 2.4, 2.2, 2.7, 2.4, 2.3, 1.9, 2.6}

Arrange the data in ascending order.

1.9, 2.1, 2.2, 2.2, 2.3, 2.4, 2.4, 2.5, 2.6, 2.7

Since the number of elements in the data set is 10.

Median = [(n/2)th term + ((n/2) + 1)th term]/2

Median = [(10/2)th term + ((10/2) + 1)th term]/2

Median = [5th term + 6th term]/2

Median = [2.3 + 2.4]/2

Median = 4.7/2

Median = 2.35

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The science club took a survey to see how many hours each member in the club worked on a science project. The table below
shows the results of the survey.
Students Hours
Greta
16
Juan
14
Mika
20
Paulo
18
Su-Lin
16
Tanika
31
Darnell
13
Wesley
24
What is the mean (average) number of hours the students worked on the science project?
OA. 21
OB. 19
OC. 20
18

Answers

Answer: 19

Step-by-step explanation:

To find an average, you take each of your values, add them, and then divide by the numbers of values you have. There were 8 students interviewed, so your total numbers of values is 8.

Addition: 16 + 14 + 20 + 18 + 16 + 31 + 13 + 24 = 152

Division: 152 ÷ 8 = 19

Consider the following equation. State any restrictions on the variable, if they exist.

Answers

In equation like this one, the restriction happens when there are variables in the denominator. Since the denominator can't be equal to zero, when we have a variable in the denominator, we have to find the restrictions to the variable.

However, in this case, no denominator have variables in it.

So, in this case, there is no restriction for the values of x.

Washing his dad's car alone, Matt takes 6 hours. If his dad helps him, then it takes 2 hours. How long does it take Matt's dad to wash the car by himself?

Answers

If it takes 6 hours for Matt to wash the car, then he washes at a rate of 1/6 cars per hour:

[tex]\begin{gathered} \frac{1}{x}=6 \\ x=\frac{1}{6} \end{gathered}[/tex]

Let y be the time in which Matt's dad washes the car and state an equation that describes the situation in which Matt and his dad wash the car together:

[tex]\begin{gathered} \frac{1}{6}+\frac{1}{y}=2 \\ \frac{1}{y}=2-\frac{1}{6} \\ \frac{1}{y}=\frac{11}{6} \\ y=\frac{6}{11} \end{gathered}[/tex]

It means that he washes the car in 6/11 hours (approximately 0.54hours).

Miles has 327 action figures and 4 shoeboxes to store them in.Does miles have enough shoe boxes? ,if not, how many action figures are left over?

Answers

Step 1:

Concept

To find out if Miles has enough shoeboxes to fit all 327 of his action figures, we first need to find the amount of action figures his current amount of shoeboxes can store. We can do this by multiplying the amount of shoeboxes Miles has by the amount of action figures each shoebox can hold.

Step 2:

Shoe boxes can contain 80

Total = 4 x 80 = 320

Step 3

There will be 7 left

Left over = 7

What is the magnitude of -5 + 121?

Answers

Question:

Solution:

For a complex number z = x + yi, we define the magnitude, |z|, as follows:

[tex]|\text{ z |=}\sqrt[]{x^2+y^2}[/tex]

thus, according to this, we can conclude that the magnitude of the given complex number is:

[tex]|\text{ z |=}\sqrt[]{(-5)^2+(12)^2}\text{ = 13}[/tex]

so that, the correct answer is:

[tex]13[/tex]

Marques works in a department store selling clothing. He makes a guaranteed salary of $200 per week, but is paid a commission on top of his base salary equal to 10% of his total sales for the week. How much would Marques make in a week in which he made $750 in sales? How much would Marques make in a week if he made x dollars in sales?

Answers

Base salary = $200 per week

Commission = 10% of total sales for that week

In a certain week, he makes sale of = $750

So, commission for that week = 10% of $750 = 10/100 x $750 = $75

In that particular week, Marques earned = base salary + commission = $200 + $75 = $275

For a week, in which he makes x dollars in sales,

Commission = 10% of x = 10/100 x (x) = $x/10

Total earning for that week = base salary + commission = $200 + $x/10

What are Commissions?The payment for goods or services sold in the form of commissions is a type of variable pay. Salesperson motivation and reward frequently involve commissions. Incentives like commissions might be used to promote particular sales techniques. When offering substantial reductions, for instance, commissions might be cut. Alternatively, commissions could go up when a company sells a certain product it wishes to advertise. A sales incentive program's framework, which may comprise one or more commission programs, governs how commissions are normally administered.The principal-agent problem is often solved by businesses by calculating payments as a proportion of revenue in an effort to better align employee interests with those of the business.Creating incentives that take account of an agent's performance is one of the most popular ways to try and balance principal and agent interests. The different forms of compensation systems, such as fixed salaries, straight commissions, or a mix of both, have a wide range of variations.

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Use intercepts to graph the line described by the equation.4y =5x +20

Answers

We have to graph the equation 4y=5x+20 using the intercepts.

First we are going to find the y-intercept of the line, to do this we have to remember that the line intercepts the y-axis when x=0. Plugging this value of x in the equation we have

[tex]\begin{gathered} 4y=5(0)+20 \\ 4y=20 \\ y=\frac{20}{4} \\ y=5 \end{gathered}[/tex]

Hence the y-intercept is 5. This represents the point (0,5).

Now we draw this point on the graph:

Now we have to find the x-intercept of the line, this happens when y=0. Plugging this value of y in the equation we have that

[tex]\begin{gathered} 4(0)=5x+20 \\ 0=5x+20 \\ 5x=-20 \\ x=-\frac{20}{5} \\ x=-4 \end{gathered}[/tex]

Then, the x-intercept is -4. This represents the point (-4,0).

Drawing this point on the graph we have.

Now we only connect the points with a straight line:

That's the graph of the line that we find with the intercepts.

What type of transformation is illustrated in the picture below? A. rotationB. translation

Answers

Rotation simply means turning around a centre . From the diagram above the vehicle rotated in a clockwise fashion.

The length of a rectangle is 3 more than the width. Find the length of the rectangle if the perimeter is 98 in.A.47.5 inB.24.5 inC.26 in.D.23 in.

Answers

Answer

Length of the rectangle = 26 inches

Explanation

Let the length of a rectangle be L

Let the width of the rectangle be W

The length of the rectangle is 3 more than the width.

L = W + 3

But we are provided with the perimeter of the rectangle.

The perimeter of a figure is the sum of the dimensions of its exterior.

For a rectangle,

Perimeter = 2 (L + W)

For this question,

Perimeter = 98 inches

L = W + 3

W = ?

Perimeter = 2 (L + W)

98 = 2 (W + 3 + W)

98 = 2 (2W + 3)

98 = 4W + 6

4W + 6 = 98

4W = 98 - 6

4W = 92

Divide both sides by 4

(4W/4) = (92/4)

W = 23 inches

L = W + 3 = 23 + 3 = 26 inches

Hope this Helps!!!

Write a quadratic function in standard form whose graph has the given characteristics.

Answers

The quadratic function in standard form that passes through (-2, 0), (4, 18), and (10, 0) is y = (- 1/2) x² + 4x + 10.

Given that, (-2, 0), (4, 18) and (10, 0).

What is a quadratic function in standard form?

The standard form of a quadratic equation is given as:

ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.

Now, the equation passes through (- 2, 0)

y = ax² + bx + c

0 = 4a - 2b + c  ----------------(1)

The equation passes through (4, 18)

y = ax² + bx + c

18 = 16a + 4b + c ----------------(2)

The equation passes through (10, 0)

y = ax² + bx + c

0 = 100a + 10b + c ----------------(3)

Using the Gauss elimination method to solve the system of equations we get,

a = -1/2, b = 4, and c = 10

The quadratic equation will be:

y = ax² + bx + c

y = (- 1/2) x² + 4x + 10

Therefore, a quadratic function in standard form with the given characteristics is y = (- 1/2) x² + 4x + 10.

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Use synthetic division to determine whether the first expression is a factor of the second. If it is, indicate the factorization. (If the first expression is not a factor of the second, enter DNE.)x − 2, 9x^4 − 35x^2 − 4(x − 2)

Answers

[tex]9x^4-35x^2-4[/tex]

Lets divide this polynomial by x - 2

9x^4 0x³ -35x² 0x -4 | x - 2

-9x^4 +18x³ | 9x³

18x³ -35x² 0x -4 | x - 2

-18x³ 36x² | 9x³ + 18x²

x² 0x -4 | x - 2

-x² +2x |9x³ + 18x² + x

2x -4 |x - 2

-2x + 4 |9x³ + 18x² + x +2

0

Since there is no rest for the division, x - 2 is a factor of the given polynomial:

[tex]9x^4-35x^2-4=(x-2)\cdot(9x^3+18x^2+x+2)[/tex]

What is the value of 7 + z ÷ 2, when z = 10?

Answers

Answer:

12

Step-by-step explanation:

7 + z ÷ 2 ,z=10(bodmas , division is the first)

7 + 10 ÷2

7 + 5

12

Answer:

12

Step-by-step explanation:

Substitute 10 for z

7+10 ÷ 2

divide first

7+5=

12

The equation of a line is x + 4y = 15.What is the y-intercept of the line? −151515/44/15

Answers

Given:

[tex]x+4y=15[/tex][tex]4y=-x+15[/tex][tex]y=-\frac{1}{4}x+\frac{15}{4}[/tex][tex]\text{The general equation is }[/tex][tex]y=mx+c[/tex]

c is the y-intercept

[tex]y-\text{intercept (c)= }\frac{15}{4}[/tex]

if you could help me with some math bc i am bad at this stuff

Answers

Answer:

57.97 cm²

Step-by-step explanation:

Use the formula for area of a trapezoid

[tex]A = \dfrac{a + b}{2} h\\\\[/tex]

where a and b are the two sides and h is the height

Here a = 7.8, b = 10.8, h = 6.2

Substituting we get
[tex]A = \dfrac{7.9 + 10.8}{2} \times 6.2\\\\A = (7.9 + 10.8) \times \dfrac{6.2}{2}\\\\\\7.9 + 10. 8 = 18.7\\\\\dfrac{6.2}{2} = 3.1\\\\\\A = 18.7 \times 3.1 = 57.97\; cm^2[/tex]

12.5% of what number is 24

Answers

Let's begin by listing out the information given to us:

[tex]undefined[/tex]

A gift wrapping store has 8shapes of boxes, 14types of wrapping paper, and 12 different bows. How many different gift-wrapping options are available at this store?

Answers

1,344 different options

14*12*8=1344

1344 options

I need help on this question

Answers

DA bisects EB

then

DC is congruent with AC

EC is congruent with BC

and

ED is congruent with AB

Help I’m completely lost on this I have no clue what I’m doing. I’ve tried 3 times

Answers

Answer:

Explanation:

Given the equation:

[tex]undefined[/tex]

What is the correct answer

Answers

In transversal lines, All angles are equal and parallel, so  TV ║ WY  are    parallel lines .                                      

                                           

What are transversal lines?

A line that crosses two lines in the same plane at two different geometric locations is referred to as a transversal. Different sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.A line that crosses other lines is known as a transversal. When transversals intersect parallel lines, such as the two railroad tracks, we often operate with them.

∠TUX  ≅  ∠UXY               ( Alternate angle)

∠SUV ≅  ∠TUX                 ( Vertically angle)

∠UXY ≅  ∠SUV                  ( Interior angle )

 TV ║ WY                          ( All angles are equal and parallel, so  TV ║ WY                                        

                                              are    parallel lines .

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Identify the sample space of the probability experiment and determine the number of outcomes in the sample space.

randomly chosing a number from the even number between 10 and 20 nclusive

Answers

For the given experiment, the sample space has 6 elements which are:

{10, 12, 14, 16, 18, 20}

How to identify the sample space?

For any experiment with different outputs (each output with a defined probability).

We define the sample space as the set of all the possible outcomes of the experiment.

Now, the experiment here is:

"randomly choosing a number from the even number between 10 and 20 inclusive"

So the possible outcomes are all the even numbers on the interval [10, 20]

Then the sample space of the experiment is:

{10, 12, 14, 16, 18, 20}

It has 6 elements.

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Rewrite y = a (2)¹/3 in the form y = a(1+r) or y = a(1-r)'. Round each value to the nearest hundredth, if necessary. Then state the growth or decay rate.yoThe rate is about %.This is a rate.

Answers

we have the equation

[tex]y=a(2)^{\frac{t}{3}}[/tex]

Rewrite the given equation

[tex]\begin{gathered} y=a(2^{\frac{1}{3}})^t \\ y=a(1.26)^t \\ y=a(1+0.26)^t \end{gathered}[/tex]

the base of the exponential function is b=1.26

1.26 > 1

that means

is an exponential growth function

1+r=1.26

r=1.26-1

r=0.26

therefore

The rate is about 26%This is a growth rate

Determine if triangle EFG and triangle HIJ are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

Answers

Given the triangles EFG and HIJ, you can identify that:

[tex]EG=19\text{ }[/tex][tex]EF=18[/tex][tex]\begin{gathered} FG=16\text{ } \\ \\ \text{ }HI=90 \\ \\ IJ=80 \end{gathered}[/tex][tex]\begin{gathered} m\angle F=67\text{ \degree} \\ \\ m\angle I=67\text{ \degree} \end{gathered}[/tex]

By definition, two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.

In this case, you can identify that you know two pairs of corresponding sides. Then, you can find in they are in proportion. Set up that:

[tex]\frac{EF}{HI}=\frac{FG}{IJ}[/tex]

Substituting values and simplifying, you get:

[tex]\begin{gathered} \frac{18}{90}=\frac{16}{80} \\ \\ \frac{1}{5}=\frac{1}{5} \end{gathered}[/tex]

Notice that they are in proportion.

You can also identify that the corresponding angles F and I are congruent because they have equal measure.

Therefore, since you know that two sides are proportionate and the included angles are congruent, you can conclude that the triangles are similar, based on the Side-Angel-Side Theorem (SAS).

Hence, the answer is: Third option.

Need to study for finals need help on this problem on my study guide find the measure of each angle calculate the length of each side

Answers

Answer:

[tex]\begin{gathered} m\angle B\text{ = 28}\degree \\ AB\text{ = 9.75} \\ BC\text{ = 7.7} \end{gathered}[/tex]

Explanation:

Here, we want to calculate the measure of each of the missing angles and sides

We have one missing angle and 2 missing sides

a) Let us get the angle at B

Mathematically, the sum of angles in a triangle is 180 degrees

Thus:

[tex]\begin{gathered} 90\text{ + 62 + B = 180} \\ B\text{ = 180-90-62} \\ B\text{ = 28}\degree \end{gathered}[/tex]

b) Let us get the measure of AB

We can use the appropriate trigonometric ratio here

The side that measures 6 is an opposite to the angle B

Since AB is the hypotenuse (the side facing the right angle and the longest side of in the triangle), we use sine

Sine is the ratio of the opposite and the hypotenuse

Mathematically:

[tex]\begin{gathered} sin\text{ 38 = }\frac{6}{AB} \\ \\ AB\text{ =}\frac{6}{sin\text{ 38}} \\ \\ AB\text{ = 9.75} \end{gathered}[/tex]

c) side BC

We can use tan to get this

Tan is the ratio of the opposite to the adjacent side

The opposite side here is the side AC, while the adjacent is BC

Thus, we have it that:

[tex]\begin{gathered} Tan\text{ 38 = }\frac{6}{BC} \\ \\ BC\text{ = }\frac{6}{Tan\text{ 38}} \\ \\ BC\text{ = 7.7} \end{gathered}[/tex]

7.) A jug of egg nog sells for $5.12One jug holds(128 ounces. What is the unit priceper ounce?

Answers

To find the unit price per ounce, we just need to divide the total price by the total amount of egg nog(in ounces). The total price is $5.12 and the amount of egg nog is 128 ounces, therefore, the unit price per ounce is

[tex]\frac{5.12}{128}=0.04[/tex]

$0.04.

please help with this practice question asap

Answers

The slope of the line passing through the points (4, -5), (-4, -5) is m = 0.

What do we mean by a slope?The slope of a line can be used to gauge how steep it is.Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).Every time the equation of a line is written as y = mx + b, the slope-intercept form of the equation is used.The slope of the line is shown by M.B is the value of b at the location of the y-intercept (0, b).For instance, y = 3x - 7 has a slope and y-intercept of 3 and 0, respectively.

So, the slope of (4, -5) (-4, -5):

The slope formula: m = y₂ - y₁/x₂ - x₁

Now, substitute the values in the formula and find the slope as follows:

m = y₂ - y₁/x₂ - x₁m = (-5) - (-5)/(-4) - 4m = -5 + 5/-4 - 4m = 0/-8m = 0

Therefore, the slope of the line passing through the points (4, -5), (-4, -5) is

m = 0.

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fx) -2 x 14 11 3 5 5 4 -8 Determine the Solution utilizing the Table of Values* (1 Point)

Answers

[tex]f(5)=-8[/tex]

The domain x with the value of 5 according to the table has a range value of -8.

A. -8

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

please look at screenshots

Answers

Answer:

c

Step-by-step explanation:

it not linear relationship

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