1. T1: Translate ABCDE.
2. R1: Rotate the translated polygon.
3. S1: Scale the rotated polygon.
4. F1: Reflect the scaled polygon if needed.
To determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E', you can break down the process into individual steps. Here, I'll describe each transformation step:
1. Translation:
Translate polygon ABCDE to align its center of mass with the center of mass of polygon A'B'C'D'E'. This ensures that the polygons are roughly in the same position. Let's denote this transformation as "T1."
2. Rotation:
Rotate the translated polygon so that one of its sides aligns with a side of polygon A'B'C'D'E'. You can use the center of mass as the pivot point for rotation. Denote this transformation as "R1."
3. Scaling:
Scale the rotated polygon proportionally to match the size of polygon A'B'C'D'E'. This will make sure that the two polygons have the same size. Denote this transformation as "S1."
4. Reflection:
Reflect the scaled polygon if needed to match the orientation of polygon A'B'C'D'E'. This step may not always be necessary, depending on the orientation of the two polygons. Denote this transformation as "F1" (for reflection).
So, the series of transformations can be written as follows:
1. T1: Translate ABCDE.
2. R1: Rotate the translated polygon.
3. S1: Scale the rotated polygon.
4. F1: Reflect the scaled polygon if needed.
These transformations will map polygon ABCDE onto polygon A'B'C'D'E' while preserving their size and shape.
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Which expression is equivalent to (2 + 3) + 5?
A) 2 + (3 + 5) B) 2(3 + 5). C) 2 + 15 D) 6 + 5
I NEED QUICK PLS THANK YOU FOR THE ANSWER IF YOU GIVE ME IT PLS
Answer:
The answer is A.
Step-by-step explanation:
This is Associative Law, a + (b+c) = (a+b) + c .
James and two friends are going bowling. It costs them six dollars to rent the lane and
three dollars for each game they bowl. In interval form, how many games can they play
if they brought twenty five dollars?
(0,6]
(0,6)
(0,8]
(0,8)
Answer:
answer is c
Step-by-step explanation:
Answer:
(0,8}
Step-by-step explanation:
In a sample of 10 cabinets, the average height was found to be 37.3in. with a standard deviation of 3.
Give a point estimate for the population variance of the height of the cabinets. Round your answer to two decimal places, if necessary.
Answer:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
[tex]\bar X = 37.3 , s= 3[/tex]
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
[tex]\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}[/tex]
And the sample variance is given by:
[tex] s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]
And we can find a formula for the population variance in terms of the sample deviation like this:
[tex] \sigma^2 = s^2 \frac{n-1}{n}[/tex]
And replacing we got:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
What is an equation of the line that passes through the points (2,-6) and (1,-1)
Answer:
x=1
Step-by-step explanation:
Btw you should put answer choices :)
help please .. don’t understand
Answer:
sinx = p/h , cosx = b/h , tanx = p/b
you can use these relations
Step-by-step explanation:
p = perpendicular = side opposite to the angle
h = hypotenuse = side opposite to the right angle
b= base
if no angles are given, p and b can be interchanged
Simplify. Express your answer as a single term using exponents. 6689x 6689
Answer:
(6689)^2
Step-by-step explanation:
6689x 6689
There are 2 terms multiplied together and they are identical
a*a = a^2
6689x 6689 = (6689)^2
please help For each set of distances below, decide if the three points are collinear or form a triangle, or are impossible.
2. AB = 12, BC = 5, AC = 13 *
20 points
impossible
form triangle
collinear
3. AB = 11, BC = 3, AC = 7 *
20 points
impossible
form triangle
collinear
4. AB = 5, BC = 6, AC = 2 *
20 points
impossible
form triangle
collinear
5. AB = 8, BC = 1, AC = 9 *
20 points
impossible
form triangle
collinear
form triangle
In order for the points to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 6 = 11 > 2, 5 + 2 = 7 > 6, and 6 + 2 = 8 > 5. Therefore, the points form a triangle.
Lilly constructed a box in the shape of a rectangular prism. The amount of space inside of the box is 180 cubic inches. What is the height of Lilly’s box?
Answer:
B
Step-by-step explanation:
3 in.
Point E is located at coordinates (-7, -5) Point F is located at coordinates (-2, 7). What is the length of EF?
Please hurry
Answer:
12 units?
Step-by-step explanation:
The answer is 17 units
Which quadrilateral with side lengths shown will have a perimeter of 25 meters?
5 m, 8 m, 4 m, 7 m
7 m, 7 m, 4 m, 6 m
6 m, 6 m, 6 m, 6 m
8 m, 5 m, 6 m, 6 m
PLZ HELP I WILL BE SO GRATEFULLLLLLL
Answer:
Step-by-step explanation:
8 m, 5 m, 6 m, 6 m
Given the equation of the parabola -36y = x^2 The focus of the parabola is
Find the surface area of the cone. Use 3.14 for pi and round to the nearest 10th. Diameter is 6ft and height is 7.6ft.
Answer:
105.2 ft²
Step-by-step explanation:
The diameter of the base of the cone is 6 ft which means its radius is:
r = d / 2 = 6 / 2 = 3 ft
Its height, h, is 7.6 ft.
The surface area of a cone is given as:
A = pi * r(r + √(h² + r²))
Therefore:
A = pi * 3(3 + √(7.6² + 3²))
A = pi * 3(3 + √(57.76 + 9))
A = pi * 3(3 + √(66.76))
A = 9.42(3 + 8.17)
A = 9.42 * 11.17 = 105.2214 ft²
Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².
Mrs. Zimmerman’s students build letter of their names out of wood. Holly builds an H using rectangles with the dimensions shown.
Answer:
you have to show us a clip so that we can see & so that we can help
________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal
Answer:
the third option, lengths of opposite sides are equal.
Step-by-step explanation:
for edg users I just took the test.
Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems
Answer: amplitude = 6.5
Step-by-step explanation:
The amplitude of a function is the maximum displacement from the from a fixed point or from the origin.
From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.
The peak or the maximum value = 9.8
Amplitude = 9.8 - 3.3 = 6.5
The maximum displacement is at Y axis
please help me understand and explain why it is that please
Will the area and perimeter be the same for a 12 by 12 square?
Pls explain why or why not
Answer:
No.
Step-by-step explanation:
For area you will multiply 12x12=144.
For the perimeter you will add 12+12=24
I hope this helps!
If a = 2.4 units, b = 3 units, c = 6 units, and d 8 units, what is the volume of the two prisms?
A 106,50 cubic units
B. 88.56 cubic units
C, 144 cubic units
D.92.16 cubic units
Answer:
99.44
Step-by-step explanation:
(a*b*d) +(c*a*a)
29.04+70.4
Jake buys apples buy the pound and they are 24 pounds in one case. Jake wants to order 480 pounds of apples so how may cases does he have to order
Answer:
20
Step-by-step explanation:
24 pounds per case, and Jake wants 480 pounds.
480 ÷ 24 = 20 cases.
12 Explain A bag includes one number card each for the numbers 1-25. Each of
25 students randomly selects a number card from the bag. Carrie says that if the number
is the input and the student is the output, the relationship is a function. Mario says that if
the student is the input and the number is the output, the relationship is a function. Who
is correct? Why?
Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days
Answer:
The answer is 11.75
Step-by-step explanation:
All youre gonna do is add up all of the chapters she read which would end up giving you 11.75 therefore that is the answer:)
Answer:
11.75
Step-by-step explanation:
If you add the whole numbers first it's 11 and then you add the decimals .5 is also .50. so .50+.25=.75
how many different outcomes are possible from rolling a six sided cube four times
Answer:
1296 different outcomes
Step-by-step explanation:
Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.
So, if we roll the cube four times, the total number of different outcomes is:
6 * 6 * 6 * 6 = 1296
We have 1296 different outcomes from rolling the six sided cube four times.
If u could answer this u would be magical
Answer:
12r^2 +r -7
Step-by-step explanation:
9r^2 +4r -7 +3r^2 -3r
Combine like terms
9r^2 +3r^2 +4r -3r -7
12r^2 +r -7
What is the length of a diagonal of a cube with a side length of 3 cm?18 cm
27 cm
33 cm
138 cm
Which is equivalent to 8.03 X 10^-8
Answer:
0.00000008
Step-by-step explanation:
The given value is 8.03 X 10^-8, which is already in scientific notation. None of the provided alternatives exactly match the given value. The closest number to the given value is 9.71 X 10^-8.
Explanation:The given value is 8.03 X 10^-8. This is already in scientific notation, where a number is represented as a decimal number between 1.0 and 10.0, multiplied by a power of 10. Therefore, it is equivalent to itself. If you would look for the equivalent among the options you have, none of them would match exactly the given value. The number that comes closest to your value from those given is 9.71 X 10^-8, but remember, these two are not exactly the same.
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The length of a rectangle is (X + 8) and the width is (x - 3). Find the dimensions of the rectangle if the area is 42 square inches.
Answer:
Length = 14 inches
Width = 3 inches
Step-by-step explanation:
length * width = area
(x + 8 ) (x - 3) = 42
Use FOIL method
x*x - x*3 + 8*x - 8*3 = 42
x² -3x + 8x - 24 = 42
x² + 5x - 24 - 42 = 0
x² + 5x - 66 = 0
Sum = 5
Product = 66
Factors = 11 , (-6)
x² + 5x -66 = 0
x² + 11x - 6x - 6*11 =0
x(x + 11) - 6(x + 11) = 0
(x + 11) (x -6) = 0
x + 11 is ignored because length and width will not have negative value.
x - 6 = 0
x = 6
Length = x + 8 = 6 + 8 = 14 inches
Width = x - 3 = 6 - 3 = 3 inches
What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction
Answer:
-37/6
Step-by-step explanation:
Answer:
A -37/6
Step-by-step explanation:
In the above triangle, which angle has the largest measure?
Answer:
Angle A
Step-by-step explanation:
Angle A is the opposite angle to the longest side of the triangle.
Because the angle is larger, the side opposite of it should be long enough to connect to the two other sides.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
suppose the point (3,1) satisfies the function f(×). what point would satisfy g(x)=-2f(x/2)+1?
Answer: (6, -1)
Step-by-step explanation:
Given that point (3,1) satisfies the function f(×). From the equation
g(x)=-2f(x/2)+1
x/2 = 3
x = 6
Substitute the 1 for f(x/2)
g(x) = -2(1)+1
g(x) = -2 + 1 = -1
The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)
P is the set of factors of 20
The elements of set P={1,2,4,5,10,20}
Hope it will help you...
Answer:
P = {1 , 2 , 5 , 10 , 20}.
Step-by-step explanation:
20÷2
=10
10÷2
=5
5÷5
=1
then the prime factors of 20 are 2 and 5
all factors of 20 :1
and
2
and
5
and
5×2
=10
and
5×2^2
=20
to summarize the factors of 20 :P = {1 , 2 , 5 , 10 , 20}.
________________________________________
:)