A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
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The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
so tell me how many assignments are you missing?
I have like 27 missing assignments
PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.
A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
what is the total number of edges on a rectangular prism
Answer:
12 edges
Step-by-step explanation:
A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.
Answer:
12
Step-by-step explanation:
Even after that large purchase at Best Buy, you decide to go to Target to grab a few things that you missed. You purchase WWE 2K21 for $49.99, Starbucks Vanilla Coffee for $13.99, the new Keurig K550 for $179.99, and a pair of jeans for $17.99. The state sales tax is 6%.
What is the total selling price before tax?
How much is sales tax did you pay?
What was your total cost?
The total selling price before tax is $261.96.
The sales tax paid is $15.72.
The total cost is $277.68.
The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee, new Keurig K550 and the jeans
$49.99 + $13.99 + $179.99 + $17.99 = $261.96.
Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item
Sales tax = tax rate x cost
6% x $261.96 = $15.72
The total price paid is the sum of the sales tax and the total selling price.
$15.72 + $261.96 = $277.68
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Question locate in image show working
(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form
Answer:
y=-3x^2+2x+201
Step-by-step explanation:
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC
Answer:
So I figured it would be easier if I sent the pics instead. Hope it helps
Find the slope of the graphed line.
ASAP
y = mx+b
y = 1/3x+4
Sincerely,
William
Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.
104
10−4
105
10−5
Answer:
Hello! Your answer here is 10−5.
Step-by-step explanation:
To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.
Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:
10−5
kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.
The total cost, if one drink costs $3 is $27.75
Let the cost of a pizza be xLet the cost of a drink be yIf kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y
Since a pizza costs $12.75, hence x = $12.75
The function becomes 12.75 + 5y
f(y) = 12.75 + 5y
To get the total cost if one drink costs $3, hence;
f(3) = 12.75 + 5(3)
f(3) = 12.75 + 15
f(3) = 27.75
Hene the total cost, if one drink costs $3 is $27.75
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A red die is tossed and a green die is tossed.what is the probability that a red die shows an even number or the green die shows an even number? Make sure your answer is reduced
Answer: 75%
Step-by-step explanation:
Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.
An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.
To do this, simply multiply the chances together:
[tex]0.5 * 0.5 = .25[/tex]
Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number
someone answer this asap pls lots of points
Answer:
0.34
Step-by-step explanation:
64^1/2=34
10^-2=0.01
34*0.01=0.34
In the figure below, m∠1 = x and m∠2 = x - 4. Which statement could be used to prove that x = 47?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
Help Me Please!
A repairman charges an inspection fee plus $20 per hour. A customer
with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair.
How many hours are worked when a customer pays $90 without a coupon?
Answer:
$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50
Find the area of the square
Answer:
144
Step-by-step explanation:
225-81 because with pythagorean thorem both sides should equal the C value or the bigger square.
Anand's garden is 70m long. If it is a square type and he has to fence with barbed wire of 3 rounds. What is the total length of the wire?
please give a valid and step by step explanation and answer this will give u an extra 5 points
Answer:
If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?
Step-by-step explanation:
Answer: 840m
a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet
15 points in 4 quarters
Is this u asking a question or just saying 15 points in 4 quarters?
What is the slope of the line that passes through the pair of points?
(-7,8), (-4, 20)
0 -4
0.25
0.33
Answer:
4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(20-8)/(-4-(-7))
m=12/(-4+7)
m=12/3
m=4
what is the exact circumference of the circle? A. 10 FT B. 20 FT C. 40 FT D. 60 FT
Answer:
D. 60 Ft
Step-by-step explanation:
circumference = πd
π 20
60ft
Answer:
Hopefully others can use mine and get it correct!
Step-by-step explanation:
I just took this and got it wrong by listening to the other and went with 60 FT nope its 20FT
You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63
Find all missing angles.
Answer:
1= 41
2=85
3= 95
4=85
5= 36
6= 49
7= 188
Step-by-step explanation:
I think that's the answer
PLSSS HELP THIS IS HARD ANYONE
Answer:
270 degrees counterclockwise rotation/ the last answer
Step-by-step explanation:
reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle
dilation would change the size of the shape
and translation wouldn't map it correctly bc it would still be turned the wrong way
Answer:
270 degrees counterclockwise rotation
Step-by-step explanation:
you can use the formulas, but if you don't know them you can always draw
270 degrees counterclockwise = 90 degrees clockwise
(x,y) -> (y,-x)
A'(1,-2) -> A(-2,-1)
B'(3,-2) -> B(-2,-3)
C'(3,-5) -> C(-5,-3)
D'(1,-5) -> D(-5,-1)
how many solutions does the following system have?
-4x + 5y = 7
4x - 5y = -7
a. one solution
b. no solution
c. infinitely many solutions
Answer:
It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9
Answer:
y=-3x-14
Step-by-step explanation:
y=mx +c
m= 1/3
perp m= -3
goes through point (6,-4)
sub numbers
Is this right?
If not what is the answer
Answer:
yes it is correct
Step-by-step explanation:
What is the equation for the line in slope-intercept form
Answer:
y=-2x-4
Step-by-step explanation:
How do you write an equation of a line so that it is parallel or perpendicular to a given point??
The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
The equation of a line so that it is perpendicular to a given point will be
y-y0=m (x - xo)
The standard equation of the line is better written in point-slope form expressed as:
y-y0=m(x - xo)
where: m is the slope of the given line (x0, y0) is any point of the giuven line.
m is the slope of the given line
(x0, y0) is any point on the given line
If the given slope of the line is m, the slope of the line perpendicular will be expressed as -1/m
The equation of a line so that it is perpendicular to a given point will be
y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)
