Describe a series of transformations Matt can perform to decide if the two windows are congruent
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Congruent shapes are produced by combining rotations, reflections, and translations. In fact, any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.
Define transformations.A point, line, or geometric figure can be transformed into one of four different shapes or locations. Pre-Image refers to the shape of the object prior to transformation, whereas Image refers to the location and shape of the object after transformation.
Given information
We now know that the size and shape of the figures are preserved during stiff transformations (reflections, translations, and rotations). The pre-image and the actual image concur completely.
The following Matt's transformative skills:
Reflection
Because the The line of reflection remains the same distance away from comparable points from the pre-image to the image.
As a Congruence Transformation - rotations
Rotating a figure causes it to twist. Even though the figure is the same size and shape as before, it appears to have toppled over. A clock is a fantastic example of how the earth actually rotates. Every hour or every day, the clock's connecting arms revolve around their axis. A rotation's degree determines what it is, and common rotations include 90, 180, and 270 degrees. Before going back to its original position, the figure rotates a full 360 degrees. the direction of a rotation, whether it is counterclockwise or clockwise. It is possible to determine the degree, amount, and and the direction of a revolution.
Translational congruence transformation
When an object or shape is transported from one location to another without altering its size, shape, or orientation, the movement is referred to as a translation. During a translation, also known as a slide occasionally, every point on an object or shape is moved by the same amount and in the same direction.
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Related Questions
The combination of both integer and rational numbers gives
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Answer:
Step-by-step explanation: Answer is real number
Line CD passes through (0,1) and is parallel to x+y=3. Write the standard form of the equation of line CD
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The standard form of the equation of line CD is x + y = 1
What is standard form of equation of a line?The standard form ;of equation of s line is written in the form
Ax + By = C
Line that are parallel has equal slope hence solving for the slope of line
x + y = 3 we have
y = -x + 3
The slope is -1
Equation of line CD passing through points ( 0, 1 )
( y - 1 ) = -1 * ( x - 0 )
y - 1 = -1 * x
y = -x + 1
writing to standard form
x + y = 1
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Determine whether the sequence 15,13,11,9 is an arithmetic sequence if yes, identify the common difference.
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The sequence is not an arithmetic sequence because. The n-term for an arithmetic sequence is:
[tex]a_n\text{ = }a_1\text{ + }(n-1)d[/tex]where d is the difference between two consecutive numbers. In this case d = 2. Because
15-13 = 2
13-11 = 2
11- 9 = 2
now, the first term for 15,13,11,9 is 15 = a_1, the second term would be:
[tex]a_2\text{ = }a_1\text{ + }(2-1)d\text{ }[/tex]that is equivalent to say:
[tex]a_2\text{ = 15 + }(2)2=19\ne13\text{ }[/tex]So we can conclude that 15,13,11,9 is not an arithmetic sequence.
0,2% of what number is 8?
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LE THE UNKNOWN NUMBER BE x WHEN I SOLVE
[tex] \frac{0.2}{100} \times x = 8 \\ \frac{0.2x}{100} = 8 \\ [/tex]
I WILL USE CROSS MULTIPLICATION
[tex]0.2x = 8(100) \\ 0.2x = 800 \\ \frac{0.2x}{0.2} = \frac{800}{0.2} \\ x = 4000[/tex]
OF ( 4000) IS 0.2% OF 8.
HOPE THIS HELPS.
the numberof blocks has 9 in the ones places.The number in the hundreds place is one more than the number in the tens place. Those two numbers equal 11. How many blocks are there?
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Based on the given information, we can express the following
[tex]\begin{gathered} h=1+t \\ h+t=11 \end{gathered}[/tex]Because the digit of hundreds is 1 more the tens, and they sum 11. Let's combine the function to find t
[tex]\begin{gathered} h+t=11 \\ 1+t+t=11 \\ 2t=11-1 \\ t=\frac{10}{2}=5 \end{gathered}[/tex]So, the digit of tens is 5.
Let's find the hundreds.
[tex]h=1+t=1+5=6[/tex]The number of hundreds is 6.
Hence, the number of blocks is 659.five friends are going to share 1/2 of a pizza. How much of a whole pizza will each friend eat?which equation can be used to solve the problem above?A.5÷1/2=nB.1\2÷5=nC.n÷5=1/2D.n÷1\2=5
Answers
In this case the answer is very simple .
Step 01:
Data
5 friends
1/2 pizza
Step 02:
We must distribute the pizza among 5 friends.
[tex]\frac{\frac{1}{2\text{ }}\text{ pizza}}{5\text{ friends}}\text{ = n}[/tex]The answer is:
Option B.
1\2÷5=n
Helppppppp will give brainiest to first right answer
Answers
Answer:
1 degrees F
Step-by-step explanation:
-3+12-6=3
3/3 = 1
1 degrees F
:]
You would do -3+12-6 ( which is 3) and divide that by 3 (the number of numbers) to get the average (1). Now you know that 1 degree is your answer.
f(x)=3x+2 and g(x)=2x2−5
Given also that fg(x)=ax2+bx+c work out the value of a+b−c
Answers
Answer:
a= -4
b -15
c -10
Step-by-step explanation:
by avoiding x^3 you can find your problem
Hey there Ms or Mr could you please help me out with this problem? Just a heads up, this is my assignment not a quiz. My assignment is about distance and midpoint formula.
Answers
EXPLANATION
Let's see the facts:
Midpoint = (-2,5)
A=(4,7)
Let the point of B as B=(x,y)
Then,
[tex]\frac{x+4}{2}=-2,\frac{y+7}{2}=5[/tex]Multiplying the frist equation by 2:
[tex]x+4=-2\cdot2[/tex]Subtracting -4 to both sides:
[tex]x=-4-4[/tex]Simplifying:
[tex]x=-8[/tex]Multiplying the second equation by 2:
[tex]y+7=2\cdot5[/tex]Subtracting -7 to both sides:
[tex]y=10-7=\text{ 3}[/tex]The coordinates of the point B are:
B=(-8,3)
Choose the place where the digit 1 sits in this number 988,172,430,056
Answers
The number 1 sits in the 100 millions place.
The 100 millions place is 8 spaces to the left of the decimal. Hence, considering 1 is 8 spaces from where a decimal place could be, then 1 is in the 100 millions place.
Hope this helps!
I need an answer for 1,2,3,4,5, and 6
Answers
Using alternate exterior angles,
[tex]3x-31=x+59\\\\2x=90\\\\x=45\\\\\implies 3x-31=x+59=104[/tex]
So,
[tex]\angle 1[/tex]: 76 degrees using linear pairs
[tex]\angle 2[/tex]: 104 degrees using corresponding angles
[tex]\angle 3[/tex]: 76 degrees using vertical angles
[tex]\angle 4[/tex]: 104 degrees using same-side interior angles
[tex]\angle 5[/tex]: 76 degrees using linear pairs
[tex]\angle 6[/tex]: 76 degrees using vertical angles
(50 x 2) plus (15 x 2)
Answers
Answer:
130
Step-by-step explanation:
100+30
Answer:
130
Step-by-step explanation:
100+30=130
2x – 1 over 5 - 3x +2 over 4
Answers
we have
(2x-1)/5-(3x+2)/4
{4(2x-1)-5(3x+2)}/20
{8x-4-15x-10}/20
{-7x-14}
5-(3x+2)/4
4(2x-1
Javier exercises for 2 1/2 hours every Saturday. His exercisesincludes two parts. If he spends the same amount of timeon each part how many hours does he spend weightlifting?
Answers
According to the given data we have the following:
Javier exercises for 2 1/2 hours every Saturday, hence, he exercises for 2.5 hours.
In order to calculate the amount of time he spend weightlifting we would make the following calculation:
amount of time he spend weightlifting=total training per day/2
amount of time he spend weightlifting=2.5 hours/2
amount of time he spend weightlifting=1.25 hours
Therefore, he spends weightlifting 1 hour and 25 minutes every saturday
if the company decides to produce 2,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter would it produce?
Answers
The number of extra crunchy peanut butter that the company would produce (current production units) is 1,700 containers.
How is the number determined?Using the mathematical operation of subtraction, the number of units to be produced can be determined.
First, we have that the ending inventory for the last period was 300 containers.
This ending inventory is subtracted from the required production level, to determine the number of containers to produce for this period.
Thus, to meet the production requirements, the company would produce additional 1,700 containers of crunchy peanut butter.
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Question Completion:Ending inventory of regular crunchy peanut butter from last period = 300 containers.
Please help I couldn’t go to school today and I don’t understand
Answers
Answer:
the value of x is 2
Step-by-step explanation:
3x + 6
x = 6 ÷ 3
x = 2
3x + 6
3× 2 + 6
6+6
12
-4 + 8x
-4 + 8×2
-4+16
12
y + 7 ≥ –1 and y∕4 + 3 ≤ 5.
Answers
Answer:
first one
y can be every number so it can be a -6 to infinity
[tex] - 1 < y [/tex]
[tex]y = - 6 \: or \: \infty [/tex]
second two
y<8
[tex]y < 8 \: or \infty [/tex]
Find the vertex of the absolute value function y = 7|x – 3| - 2.(-3, -2)(3, 2)(3, -2)(3, -1/2)
Answers
By the first term of the given function 7lx - 3l you can notice that there is a translation 3 units to the right of the pattern function lxl. This allows one to conclude that the x-coordinate of the vertex is 3.
Now, for such a value of x the function value is 7l3 - 3l - 2 = -2. Then, the y-coordinate of the vertex is -2.
Hence, the vertex of the function is (3,-2)
Evaluate the expression for j = 8.
-7 + 2j =
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Answer:
The answer tp this question is: 9.
What is the diameter of a sphere with a volume of 80487 in^3, to the nearest tenth ofan inch?
Answers
EXPLANATION
If the volume of a sphere is 80487 in^3, the diameter would be given by the following relationship:
[tex]\text{Volume}=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Replacing terms:
[tex]80487=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Isolating r^3:
[tex]\frac{80487}{\pi}\cdot\frac{3}{4}=r^3[/tex]Applying the cubic root to both sides:
[tex]\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}=r[/tex]Switching sides:
[tex]r=\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}[/tex]Multiplying numbers:
[tex]undefined[/tex]Charlie has 5/6 pounds of dog food. She wants to put equal portions into 3 bowls how much food will go into each bowl?
Answers
5/6 divided by 3 would give you:
5/18 or 0.27
Write an equation for the function whose graph is shown to the right
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In this problem we have that
the parent function or original function is
[tex]y=\sqrt[]{x}[/tex]the transformation is a translation of 2 units at left
so
the rule is
(x,y) ------> (x-2,y)
therefore
the equation of the given graph is
[tex]y=\sqrt[]{x+2}[/tex]Complete the point slope equation of the line through -2,6 and 1,1
Answers
Answer:
3y = -5x + 8
Step-by-step explanation:
Point Slope Equation Of A Straight Line:
y - y1 = m(x - x1)
where m = slope of the line and (x1, y1) is any point on the line
Slope is given by rise/run
For any two point (x1, y1) and (x2, y2) on the line
rise = y2 - y1
and
run = x2 - x1
Given points (-2, 6) and (1, 1)
rise = 1 - 6 = -5
run = 1 - (-2) = 1 + 2 = 3
rise/run = m = -5/3
Equation using the point (1, 1) is
y - 1 = -5/3(x - 1)
y - 1 = -5/3x + 5/3
Multiply both sides by 3 to get
3(y - 1) = 3 x (-5/3)x + 3(5/3)
3y - 3 = -5x + 5
3y = -5x + 8
A university claims its recent graduates earn an average annual salary of
$45,000. You draw a random sample of 40 recent graduates and find that their
average salary is $46,000, and calculate the standard error of the sample mean
as 436.81. What is the t ratio for this result?
Answers
Answer:
t-ratio = 0.362
Step-by-step explanation:
In hypothesis testing,
The t-ratio is given by the formula:
[tex]\dfrac{X-\mu}{s}[/tex]
where μ is the hypothesized mean, X the sample mean and s the sample standard deviation
The Standard Error of the Mean SEM = [tex]\large \text{{$\dfrac{s}{\sqrt{n}}$}}[/tex] where n is the sample size.
We We are given:
X = 46,000
μ= 45,000
SEM = 436.81
n = 40
We can find the sample standard deviation
s = SEM x √n
s = 436.81 x √ 40
s = 2762.3
Therefore
t-ratio = (46000 - 45000)/2762.3 = 0.362
how many weeks would be spent per year if you spend 2 hours tutoring per week, for the last 3 years?
Answers
Answer: .619 weeks per year
Step-by-step explanation:
52 weeks * 2 hours * 3 years = 312 hours tutored over 3 years
24 hours in a day * 7 days in a week = 168 hours in a week
312 / 168 = 1.857 weeks tutored over 3 years
1.857 / 3 = .619 weeks tutored per year
How would you find the area of each of your rooms without furniture?
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Given that you have a room that has dimensions l and w wherein l is the length of the room while w is the width of the room (shown in a diagram below).
the area of the room can be computed using the equation
[tex]A_{room}=l\times w[/tex]Basically, we just multiply the length and the width of the room.
Which is a counterexample for the conditional statement shown?
If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.
any fraction with a denominator of 0
any fraction with a numerator of 0
any fraction with a positive numerator and a negative denominator
any fraction with a negative numerator and a positive denominator
Answers
Answer: Choice C
any fraction with a positive numerator and a negative denominator
======================================================
Explanation:
Consider the fraction 10/(-5) where we divide 10 over -5
The numerator 10 is larger than the denominator -5, as any positive number is larger than a negative number. But 10/(-5) simplifies to -2 which is not greater than 1.
This is one counterexample to show that the original conditional statement is false.
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
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Answer: 156.86
Step-by-step explanation:
Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, how much will you spend on lunch per year?
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The total amount spent on lunch per year would be 325 dollars.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, then;
The lunch in the hospital cafeteria cost = $6.50.
The total amount spend on lunch per year;
6.50 x 50
325
Hence, the total amount spent on lunch per year would be 325 dollars.
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What are the x intercept of the equation f(x)=3(x-7)(4x+2)
Answers
The x-intercepts are
x = 7
and
x = -1/2
SOLUTION:
we need to find the value of x where y or f(x) is 0
the expression x-7 will be zero if x=7
the expression 4x+2 will be zero if x = -1/2