Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the , followed by a reflection across the line .
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Answer:
Y-axis and y = -x
Step-by-step explanation:
The student's question is about the sequence of rigid transformations that resulted in polygon A'B'C'D' from polygon ABCD. While the reflections lines are unspecified, typically two reflections across intersecting lines equal a rotation around the point of intersection by twice the angle between the lines.
Explanation:The student's question involves identifying the type of rigid transformations that polygon ABCD underwent to form polygon A'B'C'D'. Unfortunately, there seem to be missing elements in the provided description of the transformations. Normally, a rigid transformation would include details such as the lines across which the reflections occur. That said, a sequence of two reflections across two intersecting lines is equivalent to a rotation around the point of intersection of the lines, with the angle of rotation being twice the angle between the two lines.
If we could infer that the lines of reflection are perpendicular to each other, the overall transformation would be a rotation of 180 degrees. This would mean that polygon A'B'C'D' is the result of this 180-degree rotation of polygon ABCD about the point of intersection of the two reflection lines.
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Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable
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I need help with this
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x represents the number of weeks she would cut her hair off.
Please vote my answer brainliest. thanks!
This is the correct expression because it shows how much hair she has left per week in consideration of how much hair she started out with.
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
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Answer:d
Step-by-step explanation:
How to you solve this problem
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6x = 90
x = 90/6
x = 15
9y + 18 = 90
9y = 72
y = 8
Hope this helps!
After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
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The left bottom sector will be the next shape that is going to be shaded.
Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.
What is the fraction?
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Let assign a number of shading to the various sector of the circle,
1 = the top left sector
2 = the bottom left sector
3 = the bottom right sector
4 = the bottom right sector
Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 = the bottom left sector
Thus, the left bottom sector will be the next shape that is going to be shaded.
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The sum of 16 and a number x is equal to 20
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16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number
This is how I know:
20-16=4
How do I know this?
Sum means to add. To get the sum of something that equals another number, you must see what number adds up with 16 to get 20. So, this means that 16+4=20.
Hope this helps. <3 :)
is 5.75 greater than 5 8/12
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Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given two numbers as
5.75 and 5 8/12
To determine the value 5.75 is greater than or less than 5 8/12
We have to convert the fraction 5 8/12 into the decimal,
⇒ 5 8/12
⇒ (60 + 8)/12
⇒ (68)/12
Apply the division operation,
⇒ 5.67
Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.
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If two cards are drawn without replacement, what is the probability of drawing at least one ace
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Rita bought a table on sale for $278.80 . this price was 66% less than the original price. what was the original price?
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34% of the original price = 278.80
0.34x = 278.80
x = 278.80 / 0.34
x = 820 <== original price was $ 820
Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]
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A rectangle is twice twice as long as it is wide and has the same perimeter as a square whose area is 9 square feet feet larger than that of the rectangle. what are the dimensions of both the rectangle and the square?
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The dimension of rectangle : 6 and 12 units
square= 9 units
What is Perimeter ?Perimeter is the distance around the edge of a shape.
Given:
let the width of rectangle be x.
length= 2x
let the side of square is y units.
Perimeter of rectangle = Perimeter of square
and, Area of square= Area of rectangle + 9
First, Perimeter of square= 4* side
= 4y units
Perimeter of rectangle,
=2(l+b)
=2(2x+x)
=6x units
Since, Perimeter of rectangle = Perimeter of square
6x=4y
3x=2y
Now, Area of square= Area of rectangle +9
y²= x*2x+9
y²= 2x²+9
y²= 2(2y/3)²+9
y²= 8y²/9+9
1/9 y²= 9
y²=81
y=±9
So, x=2y/3= 2*9/3
x= 6
Hence, dimension of rectangle is 6 and 12.
dimension of square is 9 units.
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The measure of one of the acute angles in a right triangle is 59°. what is the measure of the other acute angle?
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________________________________
59 + 90 + x = 180
59 + 90 = 149 ;
x + 149 = 180 ;
Subtract 149 from each side of the equation:
x + 149 - 149 = 180 - 149 = 31 .
The answer is: 31° .
that is because one of the angles is 90 and the sum of all the angles is 180
so if x and y are the acute angles and z is the right angle then
x+y+z=180, subsitutuing 90 for z
x+y+90=180
minus 90
x+y=90
so if one is 59 degrees then
59+y=90
minus 59 from both sides
y=31
the other acute angle is 31 degrees
The width of a rectangle is 3 inches shorter than the length. the perimeter of the rectangle is 18 inches. what is the length of the rectangle
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When 75% of a number is added to 6, the result is 3 more than the number. find the number?
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let : x this the number
(75/100)x +6 = x+3
(3/4)x - x = 3 -6
(-1/4)x = -3
x = 12
To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.
The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12
Please answer all 3 questions thank you.
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2) When we use pythagorean thereom we get that the radius is 5 time the square root of 2. When we put this in the area formula we get 25(2)(pi) which is 157.1
If JK LM , which statement is true ?
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The reversed T symbol in this question means "perpendicular". That means the JK and LM line have 90-degree angle difference. A straight angle is 180 degree and right angle mean 90 degrees.
A perpendicular line should be in the same plane and intersect each other.
Evaluate [(21 + 6) − 3squared] ÷ 9 ⋅ 2.
choices are
4
4.6
1
52
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This year your brother jack will be 2 years from being twice as old as your sister jen. the sum of jack’s age and three times jen’s age is 66. how old is jen?
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age of jack two years later = 2x
total age of jack and jen now = 2x + x - 2 - 2
= 3x - 4
3x - 4 = 66
3x = 70
x = 70/3
= 23.3 (to three significant figures)
age of jen now = x - 2
= 23.3 - 2
= 21.3
Jen is 21.3 years old now.
I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth
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Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result. Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5 Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5 Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47 Now add the length of each side together 5 + 5 + 4.47 = 14.47
Find the root that is a real number. rootindex 4 startroot 4096 endroot
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Answer: 8
Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]
We need to factor this, so
[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]
[tex]4096 = 2^{12}[/tex]
We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]
This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}} = 2.2.2=8[/tex]
What is the answer to question 3. Letter A?
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Given that (-4,5) is on the graph of f(x), find the corresponding point for the function f(2x)
Answers
Answer:
the correct answer is (-2,5)
Step-by-step explanation:
you multiply 1/2 by -4 to get the x value
To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).
Given: Point (-4,5) is on the graph of f(x).
To find: Corresponding point for the function f(2x).
Solution:
When x = -4, 2x = 2*(-4) = -8.So, the corresponding point for f(2x) would be (-8,5).put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301
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1.2,1.203,12.03, 12.301,12.31
Answer:
6.8,6.827,6.86,6.9
Step-by-step explanation:I hope it helps
Round 894-352 to the nearest ten
Answers
HELP ME PLEASE NEED ANSWER NOWWWWWWWWWW solve the following system of equation. Round your answer to the nearest tenth. Your answer will be in the form (M,N). Find M+N, rounded to the nearest tenth.
5x+2y=21
-2x+6y=-34
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(A) 5x+2y=21
(B) -2x+6y=-34
multiply (A) by - 3→ -15x - 6y = - 63 (C)
Now add (C) to (B):
-15x - 6y = - 63 (C)
-2x + 6y =-34 (B)
----------- --------
-17x = - 97 and x = 97/17
Now replace x value in any of the equation and you'll find y = - 64/17
1st Answer (97/17 , - 64/17)
2nd Answer : 97/17 + (-64/17) = 97/17 - 64/17 = 33/17 ≈ 2
solve for y, 3xy+x=9 Then find f(x) when x=2
Answers
3xy = 9 - x
y = 3/x - 1/3
if x = 2
f(2) = 3/2 - 1/3
f(2) = 9/6 - 2/6
f(2) = 7/6
f(2) = 1 1/6
Solve the system of equations. y =9x y =2x + 63
Answers
y=9x+8
From (1),
x= (y-7)/2
Substituting value of x in eqn (2) we get,
y= 9.(y-7)/2 + 8
y=2x+63
subsitute 9x for y
9x=2x+63
minus 2x from both sides
9x-2x=2x-2x+63
7x+0=63
7x=63
divide both sides by 7
7x/7=63/7
(7/7)x=9
(1)x=9
x=9
sub back to find y
y=9x
y=9(9)
y=81
(x,y)
(9,81)
the solution is (9,81)
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
Answers
Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.
Explanation:To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:
First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.Therefore, Daniel will pay $4,800 in taxes for the year.
The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?
Answers
450,000 people - (15years x 4000) = 390k in 2010
15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.
Sorry if my explanations suck, I'm not great at explaining my thought process
what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths