THE IMAGE OF TRIANGLE ABC AFTER A 180 DEGREE ROTATION THE ORIGIN IS
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The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'
Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)
Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
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Related Questions
the jar contains 22 marbles 12 purple 8 red and 2 green one marbles drawn and put back then a 2nd marble is drawn, what is the probability that both marbles were red?
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Explanation:
There are 8 red marbles out of 22 total
8/22 = 4/11 is the probablity of randomly selecting red.
If the first marble is put back, then that probability will not change.
The probability of two red marbles in a row is (4/11)*(4/11) = 16/121
Side note: 16/121 = 0.1322 = 13.22% approximately
i just dont know the answer
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Answer:
(3,7) (4,4) (1,2)
Step-by-step explanation:
180 degrees: (x, y) —> (-x, -y)
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample? 1.Assign the homework questions the numbers 1-10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded. 2.Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded. 3.Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
3. Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
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The answer will be option D which is to Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
What is randomization?
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
Given that:-
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Hence the answer will be option D which is to Assign the homework questions to the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
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What is the sum of the solution 4|3x-5|-5=-1
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4|3x-5|-5=-1
|12x-20|-5= -1
|12x-20|= -1+5
|12x-20|= 4
x1-> 12x-20= 4
12x= 4+20
x= 24/12
x=2
x2-> -12x+20 = 4
-12x = 4-20
-12x= -16
x= -16/-12
x= 4/3
A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk
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Someone help please answer question 1
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Answer:
Reflection in line x=1
Step-by-step explanation:
If you draw a line of all values where X = 1. It forms a line between the 2 shapes and by reflecting in that line, you will get Shape B from shape A
Question:
9x - 2 = 4x + 9
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Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
ST is tangent to OQ. What is m
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Sum of the interior angle of any triangle must equal to 180 degrees thus :
[tex]53 + 90 + t = 180[/tex]
[tex]143 + t = 180[/tex]
[tex]t = 37[/tex]
Thus angle T has a measure of 37° .
Answer: 37
Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37
Find the 14th term of the geometric sequence 2, 6, 18,
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Answer:
52
Step-by-step explanation:
What is the volume of the triangular prism?
12 cm
3 cm
8 cm
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Answer:
Find the area of the triangle side, then multiply by the length of the prism.Area of triangle = 1/2 x height x baseArea = 1/2 x 2 x 3 = 3 square cmVolume = 3 x 4 = 12 cubic cm.Answer is A)
Step-by-step explanation:
mary drove for four hours on an interstate highway at a constant rate of 60 miles per hour. during the next hour, she drove on a state road at a slower rate of 40 miles per hour. how many miles did mary travel on her trip?
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Step-by-step explanation:
speed = distance/time
distance = speed × time.
so, for the first 4 hours
distance = 60 m/h × 4 h = 240 miles
and for the next hour
distance = 40 m/h × 1 h = 40 miles
she traveled therefore
240 + 40 = 280 miles
the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took
Im honestly so confused and need help with it because i just want to go on to the next question♀️
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Answer:
1.05 (0.2x + 1/2y + 0.75z)
Step-by-step explanation:
Finding the cost of each item :
1 Sweatshirt
Cost = $xDiscount = 80% offPrice = (100% - 80%)(x)Price = 0.2x2 T-shirts
Cost = $yDiscount = Buy one, get one 50% offPrice = (50%)(y)Price = 1/2y1 Pair of Pants
Cost = $zDiscount = 25% offPrice = (100% - 25%)(z)Price = 0.75zNow, the final cost (after applying sales tax) is :
1.05 (0.2x + 1/2y + 0.75z)Option #1A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
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Answer:
1/2 this is the correct answer to the question
Simplify the expression. Write your answer as a power.
4²*4³
The simplified expression is
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Answer:
4^5
Step-by-step explanation:
When we are multiplying expressions with the same base, we add the exponents
a^b * a^c = a^(b+c)
4^2 * 4^3 = 4^(2+3) = 4^5
can someone help me with this question
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Answer:
the answer will be 1 7/3 I believe
Will someone help me solve this?
sally was given a standard deck of 52 cards she randomly chose 3 cards from the deck replacing the card befor each time. what is the probability of choosing an ace, a queen, and a six?
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Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.
In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.
But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:
AQ6, A6Q, QA6, Q6A, 6AQ, 6QA
That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.
Then the probability of getting a hand consisting of an ace, queen, and six is
3! • 1/13³ = 6/2197 ≈ 0.002731
Handedness: 18 left-handed
22 right-handed
The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A) 0.410
B) 0.357
C) 0.333
D) 0.250
If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.
The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
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Answer:
Let x be the number of left handed female students and let y be the number of left handed male students.
Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.
x+y=18 and 5x+9y=122
Solving this system gives x=10 and y=8.
Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is the fraction 50/122
which to the nearest thousandth is 0.410.
T is average time spend by shoppers in minutes
N average number of shoppers.
Here, shoppers/hour =84.
Hence r=
60
84
T=5
Hence N=rT=
60
84
×5=7
Average number of shoppers waiting at checkout =7
Answer:
EMMA ITS KAIDN. text back.
Step-by-step explanation:
I had already answered this.
To divide x3y by x4y, first divide y by y to get x3/x4. Which of these would you do next to solve?
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An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The division of x³y by x⁴y can be done as,
x³y/x⁴y
= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾
= x⁻¹
= 1/x
Hence, the solution of the division of x³y by x⁴y is equal to 1/x.
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Solve for x
58° 22 X
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Answer:
x = 13.75 units
Step-by-step explanation:
Right triangle
tan 58 = opposite side / adjacent side
tan 58 = 22/x
x = 22/ (tan 58) = 13.75
Which is the next step in the following construction of an equilateral triangle?
circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C
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Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.
A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
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Help answer questions in photo!!
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question 2. write the product using exponents
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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given expression ,
[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]
this can also be written as ,
[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]
hope helpful ~
Ms Hieronymus goes through 1/2 a package of pencils every 1/8 a month for her students How many packages does Ms Hieronymus need for 10 months
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Answer:
Every 1/8 month (ie about 4 days) she uses 1/2 a package
So every month she will use 8 x (1/2) = 4 packages
So in 10 months she will use 4 x 10 = 40 packages
Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1
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Step-by-Step Explanation:
Corn Plants = 15
Squash Plants = 10
Ratio of Corn Plants to Squash Plants :-
= 10/15
= 2/3 (On dividing 10 & 15 by 5)
Ratio = 2:3
what is the answer ?
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The angle B will be equal to ∠B=53.13 degrees.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
It is given that:-
Three sides of the triangle are:- a= 3, b=4 and c =5
The angle B will be calculated by the following formula;-
[tex]\angle B=Cos^{-1}\dfrac{a^2+c^2-b^2}{2ac}\\\\\\\angle B=Cos^{-1}\dfrac{3^2+5^2-4^2}{2\times 3\times 5}\\\\\\\angle B=Cos^{-1}(0.6)\\[/tex]
∠B=53.13 degrees
Hence the angle B will be equal to ∠B=53.13 degrees.
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is the only plane shape in which every point on the figure is the exact same distance from the center.
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The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle
How to Identify a Circle?
There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.
Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.
The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.
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A, B & C form a triangle where Z
BAC = 90°.
AB = 3.3 mm and CA = 7.7 mm.
Find the length of BC, giving your
answer rounded to 1 DP.
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Answer:
BC≈8,38
Step-by-step explanation:
AB=a
BC=c
CA=b
a²+b²=c²
3.3²+7.7²=c²
√70,18=√c²
c≈8,38
1-Find the measure of
1. 226 degrees
2. 113 degrees
3. 134 degrees
4. 67 degrees
2-Find the circumference of the circle 7 cm. Use 3.14 for pi.
1. 21.98 cm
2. 38 cm
3. 3.5 cm
4. 7 cm
3-Classify the triangle by its sides and angles: 15.5 in, 15.5 in and 15.5 in.
1. Scalene, right
2. Equilateral, right
3. Equilateral, acute
4. Isosceles, acute
4-What are the coordinates of the image of point L(4,2) after a reflection over the line y = -1.
1. (-5,2)
2. (4,-4)
3. (3,1)
4. (4,-2)
5-A point P has coordinates (3.2). What are it’s new coordinates after reflecting point P over the y-axis.
1. (-3,-2)
2. (3,-2)
3. (3,2)
4. (-3,2)
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What is the interquartile range of the set of data this box-and-whisker plot represents?
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The interquartile range = upper quartile - lower quartile = 18 - 15 = 3 (option A).
What is Interquartile Range (IQR)?The interquartile range (IQR) of a data = upper quartile - lower quartile.
In the box-and-whisker plot given:
Upper quartile = 18Lower quartile = 15Interquartile range (IQR) = 18 - 15Interquartile range (IQR) = 3Learn more about the interquartile range on:
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In ΔRST, = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch
Answers
Answer:
<r=29
Step-by-step explanation: