Which series of transformations shows that pentagon A is congruent to pentagon B?
A.
Reflect pentagon A over the y-axis, rotate it 180° clockwise about the origin, and translate it 3 units up.
B.
Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
C.
Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and translate it 6 units to the left.
D.
Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Answers
Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:
B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.
For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.
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Related Questions
Let f(x)=|x|-3 write a function g whose graph is a translation 5 units down of the graph of f
Answers
If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k
Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;
g(x) = f(x) - 5
g(x) = |x|-3 - 5
g(x) =. |x|-8
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I'll give brainliest!!!
Answers
Answer in the picture !!!
You believe that water boils at 100 degrees Celsius.
Rate each statement below on a scale from best to worst.
a. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.
b. Most people you know believe that water boils at 100°C.
c. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.
d. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.
BEST EVIDENCE _____, _____, ______, _____ WORST EVIDENCE
Answers
Rating each statement below on a scale from best to worst will be:
1. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.
2. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.
3. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.
4. Most people you know believe that water boils at 100°C.
How to illustrate the information?It should be noted that the science journal will give the most accurate information. Therefore, it's the best.
It should be noted that the fact that most people you know believe that water boils at 100°C doesn't necessarily mean it's correct. It wasn't tested. Therefore, it's the worst.
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The line with slope of - 2/5 passing through the point (-1,-1)
Answers
the graph of the parabola y=1/4(x+2)^2-6 is shown on the coordinate plane below according to the graph for which values of x is y always positive ?
Answers
Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)
Step-by-step explanation:
[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]
Multiply both parts of the equation by 4:
[tex](x+2)^2 > 24[/tex]
Extract the square root of both parts of the inequality:
[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]
Expand the modulus - we get a set of inequalities:
[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]
Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:
[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]
Thus,
[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]
Succotash is made by combining corn with lima beans and costs $1.00 per pound.
If lima beans cost $1.10 per pound and corn costs $.60 per pound, how many pounds of each should be used to make 5 lb of succotash?
Answers
Answer:
1 lb corn and 4 lb lima beans
Step-by-step explanation:
Let x = weight of corn.
Let y = weight of lima beans.
x + y = 5
0.6x + 1.1y = 5
x = 5 - y
0.6(5 - y) + 1.1y = 5
3 - 0.6y + 1.1y = 5
0.5y = 2
y = 4
x + y = 5
x + 4 = 5
x = 1
Answer: 1 lb corn and 4 lb lima beans
PLEASE HELP‼️For each direct variation, find the constant of variation. Then find the
value of y when x = -5.
y = -5 when x = 3
Answers
Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$
$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$
Step-by-step explanation:
someone help please<3
Answers
Answer:
subduction zones <3333
What equation is equivalent to the equation 5x + 30 = 45?
Answers
5x+30=45
tkae the 30 to the other side and it becomes
5x=45-30
that gives you 15. then you want to divide 5 by 15
and then that gives you 3
x=3
Hope this helps you!
What are
2 sixths in the lowest term
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{6}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{1}{3}[/tex] ← in simplest form
a fraction is in simplest form when no other value but 1 can divide into the numerator/ denominator.
Approximate when the function is positive, negative, increasing, or decreasing.
Answers
From the graph of the function, we have that:
Positive: -1 < x < 1.Negative: x < -1 and x > 1.Increasing: x < 1.Decreasing: x > 1.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.Hence:
Positive: -1 < x < 1.Negative: x < -1 and x > 1.When a function is increasing, looking at it's graph?Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.
When a function is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.
Hence:
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the values listed in the csv filewaitingtimesare waiting times (in minutes) ofcustomers at the bank a, where customers enter a single waiting line that feedsthree teller windows. construct a 95% confidence interval for the populationstandard deviationσ.
Answers
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
What does the population mean in terms of standard deviation?A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.
According to the given data:Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}
Sample size n = 10
Applying chi-square statistics with df=n-1=9-1=8
now 95% confidence interval is given by:
= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]
= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]
= 0.107 ≤ σ² ≤ 0.757
= 0.33 ≤ σ ≤ 0.87
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
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I understand that the question you are looking for is:
The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.
6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
Write an equation and
Isolve for x if the area
of the rectangle is 70
square units.
Answers
The linear equation for the area is:
40 = 7*(x + 4)
The solution is x = 1.71 = x
How to write and solve the equation?Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we can see that:
W = 7
L = x + 4
A = 70
Replacing that, we can get the linear equation:
40 = 7*(x + 4)
Now we can solve this, we jus need to isolate x.
40/7 = x + 4
40/7 - 4 = x
5.71 - 4 = x
1.71 = x
The solution is x = 1.71 = x
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In the figure below, m44 = 79°. Find m1, m2, and m 3
Answers
The angle of m1, angle of m2 and angle of m3 is 101°, 79° and 101° respectively.
It is given that the angle of m4 is 79°.
To find angles m1, m2 and m3 :
As we know that angle m4 is equal to angle m2 (because they are vertically off opposite angle).
So, angle m2 = 79º
In the same manner the angle of m1will be equal to angle m3.
Now, we can see that in the figure the angles m2 and m1 is lying on one plane, and a plane line makes a angle of 180º
So,
m2+m1 = 180º
79º+m1 = 180º
m1 = 180º-79º
Angle m1 = 101º
And, as we can see that the angles m1 and m3 are vertically of opposite angle.
So, m1= m3= 101º
Hence, angle m1=101º,
angle m2= 79º,
And, angle m3=101º.
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Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
Answers
The Surface area to be painted = 512 ft²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:
w = width of the rectangular prism
h = height of the rectangular prism
l = length of the rectangular prism
The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.
l = 10 fth = 12 ftw = 8 ftPlug in the values
Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8
Surface area to be painted = 592 - 80
Surface area to be painted = 512 ft²
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Put the images below according to the sequence that the solar system formed. The last one is done for you.
Answers
Step-by-step explanation:
1. Cloud of Dust and gas
2. solar system formation
3. spinning disc
4. early solar system today
the surface of a solid is 50,682,000 square milliliters. Is the surface area greater than 50 square meters
Answers
Answer:
Step-by-step explanation:
One square millimeter converted into square meter equals = 0.0000010 m2 , sq m
1 mm2 , sq mm = 0.0000010 m2 , sq m
Answer:
I think 50,682,000 square milliliters
Step-by-step explanation:
43.3(blank) subtract 12.82 I’m giving off 20 points for this
Answers
On subtracting 12.82 from 43.3 we get 30.48 as answer.
How to subtract decimal numbers?
Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal
For example if we have to subtract 4.2 from 12.8
we write it like 1 2 . 8
- 0 4 . 2
______
0 8 . 6 and the starting from right start subtracting
Given 43.3-12.82
4 3 . 3 0
- 1 2 . 8 2
_______________
3 0 . 4 8
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in infant's Tylenol, 5 ml contains 160 mg of Acetaminophen. If you child's pediatrician says that your child can take 48 mg of Acetaminophen, how many milliliters (ml) should you give the child?
Answers
The amount of milliliters (ml) you should give the child is 1.5 ml
How to determine how many milliliters (ml) you should give the child?The given parameters are:
infant's Tylenol, 5 ml = 160 mg
This can be represented as
5 ml = 160 mg
Let the number of ml to give a child that requires 48 mg be x
So, we have:
5 ml = 160 mg
x = 48 mg
Cross multiply
x * 160 = 48 * 5 ml
Divide both sides by 160
x = 1.5 ml
Hence, the amount of milliliters (ml) you should give the child is 1.5 ml
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A candle is 20 in. tall after burning for 3 hours. After 5 hours, it is 19 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
Answers
[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex] with those values provided from the table, let's get its equation
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]
how talll will the candle be after 8 hours? namely when t = 8.
[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]
-39 * 99 = ? Solve the question using distributive property.
Answers
Step-by-step explanation:
39× 99
= -39×(100 - 1)
= (-39×100) - (-39 × 1)
= -3900 + 39
= -3861
Answer:
-3751
Step-by-step explanation:
you multiple times to the /number
f(x)=3-2x g(x)=x+1\4 find fg(x) note: 4 is denominator for x+1
Answers
Step-by-step explanation:
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Your answer is incorrect.
Pablo reads a book at a rate of 16 chapters per hour.
How many chapters does he read in 4 hours?
4 chapters
8 08
X
Ś
Answers
Answer:
64
Step-by-step explanation:
16 chapters per hour times 4 hours is 64 chapters
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
The slope of the line in simplest form is: 1.
How to Find the Slope of a Line?The slope (m) of a line is calculated as:
Slope (m) = rise/run = change in y / change in x.
The horizontal distance across the line is the run, while the vertical distance is the rise.
The blue line shows the rise of the line = 2 units
The red line shows the run of the line = 2 units
Slope (m) = rise/run = 2 units/2 units
Slope (m) = 1
Therefore, the slope of the line in simplest form is: 1.
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kendra reads in modern dog magazine that the average age of dogs currently alive is 4.8 years. to determine if this finding applies to the customers in her pet store, kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. she collects data for seven weeks and obtains the following averages
Answers
Kendra's samples are precise but not accurate.
The results are as follows: 3.7, 3.8, 4.2, 4.1, 3.9, 3.9, and 4.0.Precision refers to how near or far apart the measurements are.The sample is precise since the values are close to each other.The sample mean is the sum of values divided by the number of values.The sample mean is (3.7 + 3.8 + 4.2 + 4.1 + 3.9 + 3.9 + 4.0)/7.The sample mean is 27.6/7.The sample mean is 3.94.Accuracy refers to how close or far a particular collection of measurements is to its real value.But since the sample mean is farther from 4.8, it is not accurate.To learn more about precision, visit :
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the length of an arc of a circle is 269πcentimeters and the measure of the corresponding central angle is 65∘. what is the length of the circle's radius?
Answers
The length of the circle's radius = 744.92 cm
Given the length of arc of a circle, arc length = 269π cm
Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.
The corresponding central angle = 65°
To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians
We have, arc length of a circle = radius x central angle
Therefore, radius of the circle = arc length / central angle
= 269π /(13π/36)
= 744.92 cm
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The angle below is the image formed when a figure containing nop is dilated by a scale factor of 2. what is the measure of nop?
Answers
The measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .
We are given the dilated angle as:
∠ NOP = 112°
The scale factor for dilation is given as 2.
Now, we need to find the value of actual angle NOP.
For this, we will divide the dilated angle NOP with the scale factor of dilation.
So, we will get the result as:
Actual ∠ NOP = 112° / 2
Actual ∠ NOP = 56°
Therefore, we get that, the measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .
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Select a number to make the following statement true.
0.07 is 10 times as great as
A. 0.1
B. 0.7
C. 0.001
D. 0.007
Answers
Answer:
D
Step-by-step explanation:
a×10=0.07
a=0.07/10
=0.007
Answer:
D
Step-by-step explanation:
0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07
through: (0, -5), slope: 7/3
Answers
Please Help!!! Quickly as possible will mark brainliest!!
Answers
Answer:
(0,5)
Step-by-step explanation: