Parallelogram ABCD has vertices: A(-3, 1), B(3, 3), C(4, 0), and D(-2, -2). In two or more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle.
please help
Answers
Step-by-step explanation:
via the distance formula (based on Pythagoras) I can prove that ABC is a right-angled triangle, and that ADC is fully congruent to ABC.
so, together these 2 triangles (joined at their Hypotenuses, the diagonal AC) build a rectangle.
Related Questions
georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1. if the length of side dc equals twelve inches, what is the length of side ut in the scale drawing?
Answers
The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.
The length DC = 12 inches
DC/UT = 4/1
12/UT = 4/1
UT = 12/4 = 3 inches
Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
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Answer:
3 in.
Step-by-step explanation:
Keep it simple :)
Solve a^5=?
Please thank and thank you
Answers
Answer:
341.8801
Step-by-step explanation:
6,000+50+5 standard form
Answers
The expression 6000 + 50 + 5 in standard form is 6.055 * 10^3
How to express in standard form?The expression is given as:
6000 + 50 + 5
Evaluate the sum
6055
A number in standard form is represented as
a * 10^b
Where:
0 < a < 1
b is an integer
So, we have:
6055
Multiply by 1
6055 * 1
Express 1 as 1000/1000
6055 * 1000/1000
This gives
6.055 * 1000
Express 1000 as 10^3
6.055 * 10^3
Hence, 6000 + 50 + 5 in standard form is 6.055 * 10^3
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The time series pattern that reflects a gradual shift or movement to a relatively higher or lower level over a longer time period is called the _____.
Answers
Answer:
Trend pattern
Indira makes a box-and-whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?
Answers
The statement that is most likely true is , The mean is less than the median because the data is skewed to the left.
Option E is the correct answer.
What is a Box and Whisker Plot ?The method of representing the variation in a data set is called a Box and Whisker Plot .
A data distribution in which the data is skewed to the left
the mean is less than the median.
A data distribution in which the data is skewed to the right
the mean of the data is greater than the median.
It is given in the question that
The distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value.
this means data is skewed to the left,
Therefore, the statement that is most likely true is , The mean is less than the median because the data is skewed to the left.
Option E is the correct answer.
The complete question is
Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first
quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?
The mean is greater than the median because the data is skewed to the right.
The mean is greater than the median because the data is skewed to the left.
The mean is less than the median because the data is skewed to the right
The mean is less than the median because the data is skewed to the left.
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What is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2x
Answers
The vertex form of the give quadratic equation is f(x) = (x+1)² + 2
Vertex form of an equationThe standard vertex form of a quadratic equation is expressed as
y = a(x -h)² + k
where (h, k) is the vertex
Given the quadratic equation
f(x) = x^2 + 2x + 3
Complete the question
f(x) = (x^2+2x) + 3
f(x) = (x^2+2x+1)-1 + 3
f(x) = (x+1)² + 2
Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2
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Which statements about the location of the point are true? Select three options.
Answers
last Saturday, 1750 people attended an event at fairway gardens. the admission fee was $3.50 for children and $8.00 for adults. if the total money collected at the event was $9,860, how many children and how many adults attended the event?
Answers
Step-by-step explanation:
I don't know on my mommy that Is the answer
Answer:
There were 920 children and 830 adults.
Step-by-step explanation:
Let C be the number of children and A be the number of adults. Set up equations. Using the attendance of 1750 people, we can write:
c+a=1750
Using the total money collected of 9860, we can write:
3.50c+8.00a = 9860
Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c
Substutute (3) to (2) and solve for c:
3.50c + 8.00(1750 — c) = 9860
3.50e+ 14000 — 8.00c = 9860
—4.50e= —4140
c=920
Solve for a using (3):
a=1750 — 920
a=830
So, there were 920 children and 830 adults. (They better have been 6 ft apart)
In one class, homework is worth 10% of the final grade, each of 3 projects is worth 20%, and a final exam is worth 30%.
(a) If a student has an 81 homework average and a 95 on the first project, what is the student's grade at this point?
(b) If the same student from part (a) gets a 72 on the second project and a 71 on the third project, what is the lowest grade the student can get on the final exam to get an 80 overall in the course?
(a) The grade at this point is_____
(Simplify your answer. Round to the nearest tenth as needed.)
(b) The lowest possible grade is____
(Simplify your answer. Round to the nearest integer as needed.)
Answers
a) At this point, the grade is 27.1
b) The lowest possible grade is 81
How to get the grades of the student?
a) At this point the student has 81 in homework and 95 on the first project.
Remember that the homework is worth 10% of the final grade, and each project is worth 20%, then at this point the final grade is:
F = 0.10*81 + 0.20*95 = 27.1
b) The student gets 72 on the second project and 71 on the third project, at this point the final grade is:
F = 27.1 + 0.20*72 + 0.20*71 = 55.7
Now the student wants to get a final grade of 80, then if we define x as the grade on the final exam (which is worth 30%) we must have that:
55.7 + 0.30*x = 80
Now we can solve this for x:
x = (80 - 55.7)/0.30 = 81
The lowest possible grade that he must get is 81.
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answers
Answer:
A = 27π cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
the central angle of the shaded sector = 360° - 90° = 270° , then
A = πr² × [tex]\frac{270}{360}[/tex]
= π × 6² × [tex]\frac{3}{4}[/tex]
= 36π × [tex]\frac{3}{4}[/tex]
= 9π × 3
= 27π cm²
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The correct representations are - 6x + 15 < 10 - 5x , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.
What is Inequality ?Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.
The given statement is
–3(2x – 5) < 5(2 – x)
On simplifying can be written as
- 6x + 15 < 10 - 5x
- 6x + 15 < 10 - 5x
- 6x < -5 - 5x
- x < - 5
x > 5
An open circle is at 5 and a bold line starts at 5 and is pointing to the right .
Therefore Option C and E are the right answers.
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HELP 100 POINTS!
Step 1- Select three sites to review:
Tombs of Buganda Kings, Aksum, &
Step 2- Create your public service announcement.
Site # 1- Name of Site, and Picture
Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.
Site # 2- Name of Site, and Picture
Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.
Site # 3- Name of Site, and Picture
Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.
Answers
The tomb are worth preserving as they are important to the legacy of the people.
What is a tomb?It should be noted that a tomb simply means a repository of the remains of the dead. The Tombs of Buganda Kings can be found in Uganda.
It's a royal tomb and represents the heart of the Baganda people.
In this case, the tomb are worth preserving as they are important to the legacy of the people.
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What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?
Answers
Visual representation is preferable for working for its attractive charts, graphs etc.
The advantages of the numerical values :
1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.
2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.
The advantages of the visual representations
1. Visual representation gives us an easier way of understanding.
2. Visual representation makes something more interesting to read or solve.
3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.
Which is preferable for working and why?
Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.
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Answer:
I myself prefer visual representation because to me it helps to see things visually and for understanding and working with charts and graphs.
Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.
Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.
Step-by-step explanation:
A. The two spinners shown below are being used in a probability experiment.
During each trial of the experiment, the arrows on the spinners are spun once, and the outcome is recorded. For example, an outcome of (2, 1) means that the arrow pointed to 2 on the first spinner and pointed to 1 on the second spinner.
B. What is the theoretical probability that, during each trial of the experiment, the result has at least one 4 on the spinners? Show your work or explain your answer.
Explain why the experimental probability from the results does not agree with the theoretical probability you found in part B.
Answers
The theoretical probability of at least one 4 on the spinners is 0.4375
(a) The number of different outcomesThe sections on the spinners are:
Spinner 1 = 4
Spinner 2 = 4
So, the number of different outcomes is:
Outcomes = 4 * 4
Outcomes = 16
Hence, the number of different outcomes is 16
(b) The theoretical probability of at least one 4 on the spinnersThe spin results that have at least one 4 are:
Results = {(4,1), (4,2), (4,3), (4,4), (1,4), (2,4), (3,4)}
The count of these results is 7.
So, the theoretical probability of at least one 4 on the spinners is:
P = 7/16
P = 0.4375
Hence, the theoretical probability of at least one 4 on the spinners is 0.4375
(c) Why the theoretical probability and the experimental probability are different?The theoretical probability and the experimental probability are different because:
Experimental probabilities are based on the actual experimentTheoretical probabilities are based on the logicRead more about probability at:
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can someone please help mee
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Emma is designing a playground for her neighborhood
park. Her drawing has a scale of 1 cm: 3 feet. The length
of her drawing is 15 cm. What will be the actual lenght of
the playground in feet?
Answers
Answer: 45 feet
Answer:
45 feet
Step-by-step explanation:
if 1 cm = 3 ft, we can scale up the drawing from there.
We are multiplying each cm by 3, and considering that length to be 3 feet.
If we had 2 cm, (multiply both by 3) we would have 6 feet.
So, if we had 15 cm, we also need to convert this scale length into actual length. We do this by multiplying
15 × 3 = 45
So, we know that the actual length of the playground in feet is 45 feet.
the average height of 10 pupils is 140cm if a new pupil joined the group the average height of 11 pupils become 148
cm find the height of new pupils
Answers
Answer:
228 cm
Step-by-step explanation:
the average is calculated as
average = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{10}[/tex] = 140 ( multiply both sides by 10 to clear the fraction )
sum = 1400
let the height of new pupil be x , then
[tex]\frac{sum+x}{11}[/tex] = 148 ( multiply both sides by 11 )
sum + x = 1628 , that is
1400 + x = 1628 ( subtract 1400 from both sides )
x = 228
height of new pupil is 228 cm
Find the area of a cylinder of radius 4 cm and height 5 cm
Answers
Answer:
226.19cm^2
Step-by-step explanation:
Total surface area of cylinder = 2πr(r + h).
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5
Answers
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working
properly, the temperature should remain constant over time. What word describes the slope of a line showing the
temperature of the freezer as a function of time in hours when the freezer is working properly?
positive
zero
negative
undefined
Answers
Explanation:
A slope of zero means there isn't any change in the y value. The graph isn't going upward, and it's not going downward either. We have a flat horizontal line. All horizontal lines have a slope of zero.
You can think of it like this
slope = rise/run = 0/1 = 0
rise = 0 means the y value isn't changing.
Suppose you did a survey of male shoes size and the mean of that survey was size 10 with a standard deviation of 1.5. What is the Z-score of a size 8.5?
Answers
Answer:
-1
Step-by-step explanation:
From 10 to 8.5 is - 1.5
this is -1 S.D. below the mean
(8.5 - 10)/1.5 = -1
each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total number of pages you have read after any number of days.
Answers
Answer:
15x
Step-by-step explanation:
assum 1 day you read 15 pages then after X day you reads 15*X=15X
A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³. Find the radius of the container.
Answers
Answer:
The radius of the container is approximately 4.89 cm
Step-by-step explanation:
GivenA container with:
r = hS = 300 cm²To findThe radius of the containerSolutionUse the equation for total surface area of cylinder:
S = 2πr² + 2πrh or S = 2πr(r + h)Since we have r = h and the value of S is known, let's solve this equation:
2πr(r + h) = 3002πr(r + r) = 3002πr(2r) = 3004πr² = 300πr² = 753.14r² = 75r² = 75/3.14r² = 23.89 (rounded)r = √23.89r = 4.89 cm (rounded)What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?
Answers
Answer: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
Helpppppp pleaseeee shoe your work
Answers
2p-4p ≤ -2
-2p ≤ 2
[tex]\frac{-2p}{-2} \leq \frac{-2}{-2}[/tex] (Sign flips as both sides it is getting divided by NEGATIVE 2)
p≥1
Interval notation: [1, infinity)
Hope it helps!
solve the linear system by elimination. 4x-2y=15 2x+2y=3
Answers
Answer:
x=3 and y = -3/2
What is the elimination method?A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.
___________________________________
Let's solve your system by elimination.
4x−2y=15;2x+2y=3
4x−2y=15
2x+2y=3
Add these equations to eliminate y:
6x=18
Then solve 6x=18 for x:
6x=18
6x/6 = 18/6 (Divide both sides by 6)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x−2y=15
Substitute3 for x in 4x−2y=15:
(4)(3)−2y=15
−2y+12=15(Simplify both sides of the equation)
−2y+12+−12=15+−12(Add -12 to both sides)
−2y=3
-2y/-2 = 3/-2 (Divide both sides by -2)
y = -3/2
Answer:
x=3 and y = -3/2
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Y=-3\2 or -1.5
Or depends on what they want
Solve this question, and I'll be extremely thankful (:
Thanks to whoever can do this for me!
-
Problem:
Using Scratch (or whatever programming language you are comfortable with), create code that would allow a user to input the legs of a right triangle and the output would be the length of the hypotenuse.
Create a program that finds the leg of a triangle given the hypotenuse and another leg and add an error message if the leg is longer than the hypotenuse.
Send a screenshot when you're done.
Answers
Answer:
it is in java and it is also can be done in BlueJ
Step-by-step explanation:
please mark me brainlist
Is LMN OPQ If so name the congruence postulate that applies
Answers
The triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement Hence, Option D is correct.
What is SSS congruency?If the corresponding two sides of two triangles are of the same measurement, then the considered pair of triangles are congruent.
We have given two triangles that are congruent to each other;
LMN is congruent to OPQ
Given;
LM = OP
MN = PQ
LN = OQ
Thus, the triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement
Hence, Option D is correct.
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Is in between 2 number on the number line
Answers
Answer:
D
Step-by-step explanation:
Answer:
between 3 and 4
Step-by-step explanation:
3 squared is 9 and 4 squared is 16 so something in between 3 and 4 can be squared to equal 10 (since a square root is the opposite of squaring)
Find the perimeter.
15 ft
25 ft
if the 25ft is diagonal in a rectangle
Answers
Let c=25 & b=15.
Therefore a=20
Perimeter is 2l+2w, and since a=20&b=15 are the length and width, we can plug that into the formula to get
70 ft
Hope this helped :)
Answer:
P=70ft
Step-by-step explanation:
25^2-15^2=400
Sqrt400=20
2l+2w=P
40+30=70
