given the regular polygon, select all of the rotations and reflections that carry the figure onto itself.
Answers
Answer:
A. A rotation of 72º around the center, point D.
C. A reflection across line b through one vertex, the center d.
E. A reflection across line c, and the midpoint of the opposite side
Step-by-step explanation:
From Euclidean Geometry we get that sum of internal angles inside a polygon equals 360º and there is the following relationship in regular polygons:
[tex]\theta = \frac{360^{\circ}}{n}[/tex] (Eq. 1)
Where:
[tex]\theta[/tex] - Internal angle, measured in sexagesimal degrees.
[tex]n[/tex] - Number of sides, measured in centimeters.
If we know that [tex]n = 5[/tex], then internal angle of regular pentagon is:
[tex]\theta = \frac{360^{\circ}}{5}[/tex]
[tex]\theta = 72^{\circ}[/tex]
In consequence, rotating the regular pentagon 72º around the pentagon carries the figure onto itself due to angular symmetry. (Correct answer: A)
By adding any line passing the center of the regular pentagon (i.e. line cc', line bb'), which is collinear to any vertex and any point of the figure, we guarantee conditions of length symmetry so that reflection carries the figure onto itself. (Correct answers: C, E)
Answer:
Step-by-step explanation:
Thank you
Related Questions
The cost of shipping a package is $1.85 per pound. Karen has a package that has a mass of 8 kg. How much will it cost Karen to ship the package? Use 1 kg ≈ 2.2 lb
Answers
$32.56
Did she speak to the manager
Which types of parent function have the end behavior f(x) - infinity as x - infinity
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answers
Answer:
B. a parent odd-degree power function
and
D. a parent odd-degree root function
The parent function is simply the base function of a function family.
The true statements are:
B. a parent odd-degree power function D. a parent odd-degree root function
The end behavior is given as:
[tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex]
The above means that:
As x approaches infinity, the function also approaches infinity
From the list of given options, the functions with these end behaviors are:
(b) and (d)
Hence, the functions with the end behavior [tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex] are:
A odd-degree power function and a odd-degree root function
Read more about end behaviors at:
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what is 3f+7f-f please help
Answers
Answer:
9f
Step-by-step explanation:
3f + 7f - f = 9f
Answer:
3f + 7f -f equals 9f
Step-by-step explanation:
First, you would add 3f and 7f together making 10f. Then you will subtract 10f from f and get 9f.
8 – 3(k + 2) = 2 – 3k
Answers
Answer:
the answer is 0
Step-by-step explanation:
you distribute the 3 which gives
8 - 3k - 6 = 2 - 3k
then you combine like terms and end up with
2 - 3k = 2 - 3k
then you subtract 2 on each side which gives
- 3k = - 3k
and then when you have to keep combining like terms so you add the 3k on both sides which gives u 0
Can anyone answer these questions?
Answers
Answer:
g^2=49
7^2=49
g=7
hope it is helpful to you
Write a linear equation that is parallel to
line below and passes through the point
(-4,-13)
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
Original line: y = 3x + 5
Parallel line has the same slope, so use the point-slope form.
y - (-13) = 3(x - (-4))
y + 13 = 3x +12
y = 3x -1
The equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the graph of the linear equation:
From the graph:
The line passes through (-3, -1) and (0, 5)
The slope of the line is shown in the graph:
m = (5+1)/(0+3)
m = 2
The equation of the line that has slope -2 and passes through (-4, -13):
[y - (-13)] = 2[(x - (-4)]
y + 13 = 2(x + 4)
y + 13 = 2x + 8
y = 2x + 8 - 13
y = 2x - 5
Thus, the equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
Learn more about the straight line here:
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give the equivalent decimal 4/8
Answers
Answer:
the answer would be 0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
.5
4/8 can be reduced to 1/2 which is equal to 5/10, which pretty much means .5
The function C(x)=25x +2,500 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $75
Answers
Answer:
More than 50 items
Step-by-step explanation:
Answer:
there are more than 50 items
Step-by-step explanation:
What is 1 2/3 - 2 1/3?
Answers
Answer:
-1/3
Step-by-step explanation:
Find g (a + 1 ), if g(x)=5x-3
Answers
Answer:
g(a+1)=5a+2
Step-by-step explanation:
so (a+1) is the value of x
you can write it like this:
x=a+1
using substitution, we can swap out all 'x's for 'a+1's. like so;
g(a+1)=5(a+1)-3 -- given
=5a+5-3 -- distribute
=5a+2 -- simplify!
Hope i helped! have a great day! please mark brainliest!!
In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be ower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the robabiliies of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball.
Answers
Hello,
This question you posted is incomplete but I was able to get the complete question. I hope it would be of help to you!
1. What is the probability of selecting the color of ball that you just selected?___
Don't put your first ball back in the bucket now reach again, no peeking and pick your second ball.( Click the pick a ball icon to simulate reaching into the bucket and select your next ball)
2. What is the probability of selecting the color of ball that you just did_____
3.what is the probability of obtaining your exact sequence of result?____
4. What is your prize____
5. What is your profit from pick a ball___
Answer:
1. The probability of selecting the color of ball that you picked. (White)
The color is white. And total balls are 10
= 4/10
= 0.4
2. After first ball was picked out, you now have 3 whites left and total balls 9. probability of selecting the color of ball that you picked = 3/9
= 0.3333
3. Probability of getting exact sequence
= 0.3333x0.4
= 0.1333
4. The prize = 1/0.1333
= 7.5
5. The price would be 7.5 - 10
= -2.5
Thank you!
74 ÷ 2072=
PLEASE HELPPPP
Answers
Answer:
0.0357142857142857
Paul’s dog weighs 12 pounds more that Issac’s dog. Together they weigh 50 pounds. How much does Issac dog weigh ???
Answers
Answer:
Issac's dog weighs 19 pounds
Step-by-step explanation:
Let x be Issac's dog's weight
Translate the problem into an algebraic expression: x + (x + 12) = 50Simplify: 2x + 12 = 50Subtract 12 from each side, so it now looks like this: 2x = 38Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 19I hope this helps!
What is this picture an example of
Answers
Keira cut a 6 meter 9 centimeter stick into 5 equal pieces. Shayla cut a 460 centimeter stick into 4 equal pieces. How much longer is one of Shayla's wires than one of keira's?
HELP HELP HELP BASVDHGJUAWGJVJB i need it before 11:59 :(
Answers
Answer:
Keira : 609cm/5 = 121.8cm
Shayla : 460cm/4 = 115cm
6.8cm
Step-by-step explanation:
In this equation it looks like one of keira's wires is longer since when you divide the total number of centimeters (609) by 5, you get 121.8
The difference between keira and shayla's wire is 6.8cm
An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns a total of (20p - 60) dollars.
A. Factor the expression using the GCF
20p - 60 =
B. The discount per t-shirt is $
Answers
When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.
Answers
Answer:
The answer is 20
Step-by-step explanation:
Solve paranthese first then sqrt your answer then add the remainig
Tom ate at a restaurant. His bill was $12.00. He left a 15% tip. Determine whether each statement about Tom's payment is true or false.
Answers
Answer:
True, True, False, True
Step-by-step explanation:
$12.00 ⋅ 0.15 = $1.80
Tom paid $1.80 as tax. That takes care of the second question.
$12.00 + $1.80 = $13.80
So Tom paid more than $12.00 for his meal. That takes care of the first question.
We already know that Tom paid $1.80 as tax. So we know the third question is not right.
And we already know that $12.00 + $1.80 = $13.80. So the fourth question is correct.
Answer:
thanks
Step-by-step explanation:
Can someone help me please??
Determine the intercept of the graph.
Determine the x- and y-intercepts of the graph of
x + 3y = 9
Then plot the intercepts to graph the equation.
Answers
Answer:
x- intercepts = 9
y- intercepts = 3
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
She receives time-and-a-half pay for each hour of overtime she works.
Last week she worked 43 hours.
a. What is her regular gross pay?
b. What is her hourly overtime rate?
c. What was her overtime pay?
d. What was her total pay for the week?
Answers
Answer:
Step-by-step explanation:
gross pay = 640
hourly overtime rate= 24
Overtime pay= 72
Total pay for the week= 712
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
What is Regular gross pay ?Regular gross pay is that pay which the person earn on daily basis or it is a fixed amount which he gets after completing a month.
Here, We have to find out the regular gross pay which includes the daily earning of a person.
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
So, her regular gross pay = number of hours × rate per hour
= 40 × $16
= $640
Hence, the gross pay = 640
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
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What is the value of 12 Superscript 0?
Answers
Answer:
1
Step-by-step explanation:
So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x
Answer:
Hi there! The answer to this question is 1.
Hope this helps :D
A purple hot-air balloon is 90 feet off the ground and rising at a rate of 7 feet per second. A yellow hot-air balloon is 120 feet off the ground and rising at a rate of 4 feet per second. Which equation could represent this situation and determine after how many seconds, s, the purple hot-air balloon will be the same height as the yellow hot-air balloon?
1 point
90 + 7s = 120 + 4s
7s + 120 = 4s + 90
90s + 7 = 120s + 4
11s = 210
Answers
90+7s = 120 + 4s
11s = 210
0000444 4034 000034
Answers
Answer:
whats the question
Step-by-step explanation:
I dont get it
You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B
Answers
Answer:
A = 28
B = 22
Step-by-step explanation:
All money will be recorded in pennies
Let A = the 45 Bulb
Let B = the 65 bulb
A + B = 50 (1)
45A + 65B = 2690 (2)
Multiply (1) by 45 and subtract that from (2)
45A + 65B = 2690
45A + 45B = 2250 Subtract
20B = 440
B = 22
A + B = 50
A + 22 = 50
A = 50 - 22
B = 28
Check
45*28 + 22* 65 =
1260 + 1430 = 2690
I need help for number 3
Answers
Answer: 3/2
Step-by-step explanation: 24 ÷ 2² + 8 (3/2) = 3/2
Answer:
i think this is the ans
Step-by-step explanation:
plezz mark brainliest
Melissa buys an iPhone for $240 and gets consumer surplus of $160. What is her willingness to pay?
Answers
Answer:
$400 = $240 + $160
Step-by-step explanation:
How do you rewrite a squared • a to the power of 4 using only one exponent?
Answers
Answer:
It's probably a^6
Step-by-step explanation:
a^2 * a^4
a^2+4
a^6
Answer:
[tex]a^2*a^4\\= a^6[/tex]
I got the answer by the property: [tex]a^m*a^n = a^m^+^n[/tex]
Use the model to help you find the product.
1
2
3
×
1
3
A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .
Help ASAP please
Answers
Answer:
5/9
Step-by-step explanation:
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math
Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
Answers
m∠AGF + m∠CGE + m∠AGC = 180° ( linear pair )
84° + 64° + m∠AGC = 180°
148° + m∠AGC = 180°
m∠AGC = 180 - 148
m∠AGC = 32°
As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .
Which means :-
m∠AGC = m∠DGB ( vertically opposite angles )
m∠DGB = 32°Therefore :-try:- m∠DGB = 32° Reason :-vertical anglesIn the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
From the figure shown:
m<AGF = 64° (Given)
m<CGE = 84° (Given)
m<AGF = m<BGE (Vertically opposite angles are equal)
m<AGF = m<BGE = 64°
m<CGE + m<BGE + m<DGB = 180° (Sum of angles on a straight line)
84 + 64 + m<DGB = 180
148 + m<DGB = 180
m<DGB = 180 - 148
m<DGB = 32°
Therefore, in the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
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solve for d -38d-57-19d+76
Answers
Answer:
You cannot solve for d.
But, simplified it is 19d+19
Step-by-step explanation:
38d-57-19d+76
(38d-19d)+(-57+76)
19d+19
hope this helps :)
Answer:
d ≤ -7
Step-by-step explanation:
the first person is so wrong