The coordinate plane shows three vertices of a parallelogram. Which are two possible points that could represent the fourth vertex?(6,2) ( 6 , 2 ) and (8,8) ( 8 , 8 ) , (5,1) ( 5 , 1 ) and (8,1) ( 8 , 1 ), (6,1) ( 6 , 1 ) and (8,9) ( 8 , 9 ) , (8,1), ( 8 , 1 ) and (6,9)
Answers
Answer:
Solution
Correct option is A)
Sol. Let A(1,−2), B(3,6) and C(5,10) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a,b).
Join AC and BD. Let AC and BD intersect at point O.
We know that the diagonals of a parallelogram bisect each other.
So, O is the midpoint of AC as well as that of BD.
Using Midpoint formula X=(
2
x
1
+x
2
)and Y=(
2
y
1
+y
2
)
A(1,−2)≡(x
1
,y
1
), C(5,10)≡(x
2
,y
2
)
Midpoint of AC is (
2
1+5
,
2
−2+10
), i.e.,(3,4)
Midpoint of BD is (
2
3+a
,
2
6+b
)
∴
2
3+a
=3 and
2
6+b
=4
3+a=6 and 6+b=8
a=3 and b=2
Hence, the fourth vertex is D(3,2).
Step-by-step explanation:
Related Questions
please help it would mean a lot thanks ! :)
How does this graph change between (2.5, 2) and (4.5, 0.25)?
increases
decreases
or
no change
Answers
PLS HELP ASAP WILL GIVE BRAINLIEST!!
Solve the inequality below
6x - 5 ≤ 37
Answers
Answer: x ≤ 7
Step-by-step explanation:
6x - 5 ≤ 37
6x ≤ 42
x ≤ 7 :>
Can someone help me out
Answers
This is because the graph goes by .25s
Bill is playing a game. He chooses one fraction card and one decimal card that have the same value. What 2 cards might bill choose
2/3
6/8
5/4
5/6
0.6 repeating
1.5
0.75
1.3repeating
1.25
0.83
0.8
0.83repeating
1.2
0.67
1.3
1.33
Answers
Answer: To determine which fraction and decimal cards have the same value, we can convert each fraction to a decimal and then compare them to the decimal cards:
2/3 = 0.666... (repeating)
6/8 = 0.75
5/4 = 1.25
5/6 = 0.833... (repeating)
0.6 repeating = 0.666... (repeating)
1.5 = 1.5
0.75 = 0.75
1.3 repeating = 1.333... (repeating)
1.25 = 1.25
0.83 = 0.83
0.8 = 0.8
0.83 repeating = 0.833... (repeating)
1.2 = 1.2
0.67 = 0.67
1.3 = 1.3
1.33 = 1.33
From this list, we can see that Bill can choose the following two cards that have the same value:
2/3 and 0.666... (repeating)
0.6 repeating and 0.666... (repeating)
Step-by-step explanation:
Bill has a range of card pairs that all have the same value at his command. The fraction card 2/3 and the decimal card 0.67 are one such pair because both cards show the value of two-thirds. The fraction card 6/8 (which may be written as 3/4) as well as the decimal card 0.75 are another pair that could be used as both of them reflect the value of three-quarters.
Since both cards show the value of five-sixths, Bill may either select the fraction card 5/6 and the repeating decimal card 0.83 repeating. The fraction card 1.25 and the decimal card 1.25 are another pair that may coexist as both of them represent the sum of one and one-quarter.
Also, Bill has the choice to pick either the fractional card 0.75 or the decimal card 0.75, both of which denote the value of three-fourths. He might also select the decimal card 1.33, which reflects the amount of one and one-third, and the fraction card 1.3 repeating, which is similar to 4/3.
Bill has a choice of card pairs to select from, all of which reflect the same number in both fractional and decimal form.
Learn more about decimal:
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HELP! What is the slope of the line in the graph?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answers
Answer:
I think it is D
Step-by-step explanation:
Preston and Ethan were doing their math homework and together and needed help. Help simplifying this expression. 10^6 divided by 10^2
A) 1^3 B)10^4
C)10^3 D) 10^8
Answers
Answer:
it's b:)
Step-by-step explanation:
It rained 1/2 of an inch on Saturday and 8 1/0 inch on Sunday. How much more did it rain on Sunday than on Saturday?
Answers
Answer: 7/10
Step-by-step explanation:
Hope this helps! Have a good day and good luck.
HELP ASAP 94% of the tickets sold at an amusement park were discount tickets. If the park sold 9,000
tickets in all, how many discount tickets did it sell?
Answers
Answer:
8460 discount tickets were sold.
Step-by-step explanation:
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
Which of the following equations results in no solutions?
A 3(v + 5) = 2v - 4 + v
B 3(v + 5) = 2v + 15 + v
C 3(v + 5) = 2v + 15
D 3(v + 5) = 2v - 4
Answers
Answer:
\(\boxed{\sf A) \:3(v + 5) = 2v - 4 + v}\)
Step-by-step explanation:
\(\sf A )\:3(v + 5) = 2v - 4 + v\)
Combine like terms:
\(\sf 3\left(v+5\right)=3v-4\)
Expand:
\(\sf 3v+15=3v-4\)
Subtract 15 from both sides:
\(\sf 3v+15-15=3v-4-15\)
\(\sf 3v=3v-19\)
Subtract 3v from both sides:
\(\sf 3v-3v=3v-19-3v\)
\(\sf 0=-19\)
\(\boxed{\sf{No\:Solution}}\)
_________________
\(\sf B )\:3(v + 5) = 2v + 15 + v\)
Combine like terms:
\(\sf 3\left(v+5\right)=3v+15\)
Expand:
\(\sf 3v+15=3v+15\)
Subtract 15 from both sides:
\(\sf 3v+15-15=3v+15-15\)
\(\sf 3v=3v\)
Subtract 3v from both sides:
\(\boxed{\sf 0=0}\)
_______________________
\(\sf C)\: 3(v + 5) = 2v + 15\)
Expand:
\(\sf 3v+15=2v+15\)
Subtract 15 from both sides:
\(\sf 3v=2v\)
Subtract 2v from both sides:
\(\sf 3v-2v=2v-2v\)
\(\boxed{\sf v=0}\)
_______________________
\(\sf D)\: 3(v + 5) = 2v - 4\)
Expand:
\(\sf 3v+15=2v-4\)
Subtract 15 from both sides:
\(\sf 3v+15-15=2v-4-15\)
\(\sf 3v=2v-19\)
Subtract 2v from both sides:
\(\sf 3v-2v=2v-19-2v\)
\(\boxed{\sf v=-19}\)
___________________________
The 100 digits of pie
Answers
Answer:
You're welcome
Step-by-step explanation:
3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9
14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679
Plz Help you don't need to answer all just sum of them
Answers
Answer:
Step-by-step explanation:
ads dasSelect the correct answer.
How many students correctly answered 30 or more questions?
Answers
Answer:
19
Step-by-step explanation:
If we look at the graph we can see that 10 students answered 30 questions correctly and 9 students answered 40 questions correctly, when we add this to get the amount of students that got a score of 30 or over there are 19 students
how to write this in a inequality 69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50
Answers
69.50 +(3 x 5) = 84.5
Note- It seems something is missing from this problem,I answered you other question you may want to look their for better explanation of the problem.
HOPE THIS HELPS & GOOD LUCK.
Joe has to give medicine to his cat every morning for the next 14 days. How many weeks is this?
Answers
Answer:
there are 7 days to complete a week so your answer to this question is 2 weeks . because 14 can be divided into 2.
2WEEKS.
Answer:
2 weeks
Step-by-step explanation:
a week is 7 days so.... 14 days is 2 weeks
1. Matt is going to create a graph of the equation y = -0.75x + 6. Which of the following will be true about the graph? a. The graph will contain the origin. b. The graph will increase from left to right. c. The graph will cross the x-axis at (6,0). d. The graph will have a slope of -0.75.
Answers
The graph of the equation y = -0.75x + 6 is shown in figure.
And, The correct statement about the graph is,
d. The graph will have a slope of -0.75.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation is,
⇒ y = -0.75x + 6
Now,
The graph of the equation y = -0.75x + 6 is shown in figure.
Clearly, It is not passing through the origin.
And, It cannot cross the x-axis at (6,0).
Since, The standard form of the equation of line is,
⇒ y = mx + c
Where, m is the slope of the line.
So, By comparing we get;
The slope of the line (m) = - 0.75
Thus, The correct statement about the graph is,
d. The graph will have a slope of -0.75.
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Division problem: Jojo has 2 days to get ready for a trip to Washington State. She has 200 items to bring and 4 suitcases. How many items should she put into each suitcase?
Answers
Answer:
50 in each case
Step-by-step explanation:
200÷4=50
50 items in each case
200/4= 50
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?
Answers
Answer:
Let's start by using variables to represent the ages of the three people:
Let L be Liz's age.
Let D be Debbie's age.
Let F be Freya's age.
From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:
L = (2/3)D
We also know that Debbie's age is half of Freya's age, so we can write:
D = (1/2)F
To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:
F = 2D
Now we can substitute this expression for F into the equation for Liz's age:
L = (2/3)D = (2/3)(1/2)F = (1/3)F
So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.
6x-y=x
what is the value of y
Answers
We can solve for y by isolating it on one side of the equation.
6x - y = x --> subtracting x from both sides
5x - y = 0 --> subtracting 5x from both sides
-y = -5x
y = 5x
So the value of y is 5 times x.
Answer: y = 5x
Step-by-step explanation:
math
hurry please help dont know what im doin
Answers
y = x + 3
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
A. 264
B. 462
C. 528
D. 536
Answers
Explication: 88x2 weeks= 176 so 88x6weeks=528
ANSWER: C.528
I hope that helped!!
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Last summer, Jesse’s family drove to visit his grandmother. Jesse kept track of how far they drove each day. Monday: 242 mi. Tuesday: 324 mi. Wednesday: 212 mi. Thursday: 363 mi. Friday: 132 mi.
Use front-end estimation to find a reasonable estimate of the total distance Jesse’s family traveled.
A) 1000 mi.
B) 1100 mi.
C) 1200 mi.
D) 1300.
Answers
The correct option is C 1200 mi. A reasonable estimate of the total distance Jesse's family traveled is 1200 mi.
Front-end estimation involves rounding numbers to the nearest place value and then performing calculations. Round each day's distance to the nearest hundred to simplify calculations.
Round each day's distance: Monday 200, Tuesday 300, Wednesday 200, Thursday 400, Friday 100.
Add the rounded distances:
200 + 300 + 200 + 400 + 100 = 1200.
The estimate of the total distance traveled is 1200 miles, which matches option C.
Front-end estimation is a quick method for approximate calculations, especially when precise values are not required.
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Please solve this equation
-3(5-2z)=z+10
Answers
-15 -10 = -6z + z
-25 = -5z
5 = z
z = 5
____
(Let's now put z=5)
-3(5-10) = 5+10
-15+30 = 15
15 = 15
___
Therefore, we now have double-checked that z=5
Emilio is modeling 4.62 ÷ 6 . How should he exchange the place-value blocks so he can make 6 equal shares
Answers
Answer: Change 4.62 to 462.
Step-by-step explanation: If you multiply 4.62 by 100 you get 462.
1) 46/6 = 7 r 4
2) Drop down the 2 and 42/6 equals 7.
3) This will make each person get 77.
Answer: 77
(Please consider brainliest)
Lana has several dog treats in a drawer: 4 pig’s ears, 3 rawhide twists, and 5 dental chews. She will randomly choose 1 treat from the drawer for her dog, Molly.
What is the probability that Lana will choose a pig’s ear?
Please help!!! I'll give you brainliest !!
Answers
consider the decimal -0.022 . what is the decimal as a simplified fraction?
could you also explain how you got your answer you dont have to but it would be helpful :))))
Answers
Answer:
-11/500
Step-by-step explanation:
-0.022
To change the decimal number into a fraction, start by reading the number.
The second 2 is in the thousandths place. This number is read as:
"negative twenty-two thousandths"
Now write a fraction with 22 over 1000, and with a negative sign.
-0.022 = -22/1000
Now we reduce. 22 and 1000 are divisible by 2.
-0.022 = -22/1000 = -11/500
i used my calculator and put the decimal into it and hit equal and then presses the button above the equal sign that looks like < > and then hit the button that says simp
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total trip, in lowest terms, has been traveled?
a.12/36
b.2/3
c.3/4
d.1/3
for 20 points please help
Answers
Answer:
d. \(\frac{1}{3}\)
Step-by-step explanation:
\(\frac{120}{360} =\frac{1}{3}\)
The probability that Adrian has Mr. Muller as his science teacher next year is 0.25,
and the probability that he has Mrs. Waugh as his math teacher next year is 0.5.
He wants to determine the probability that he has both Mr. Muller and Mrs. Waugh as teachers next year and needs to design a simulation to help him calculate this probability. He has the spinner shown below and a number cube.
Which of the following simulations could Adrian use to help him determine the probability that he has both Mr. Muller and Mrs. Waugh as teachers next year?
Responses
getting a 1 on the spinner and rolling a number greater than 4
on the number cube
getting a 2 on the spinner and rolling an odd number on the number cube
getting a 3 on the spinner and rolling an even number on the number cube
getting a 2 on the spinner and rolling a prime number on the number cube
Answers
Answer:
the answer would be spinning a 3 and getting an even number on the number cube. read why below!
Step-by-step explanation:
because the spinner presents three options (two 2s, a 3 and a 1), there is a 50% chance that he will spin a 2. the spinner has to be able to represent his chances of having mr. muller as his science teacher though, because there is only a 25% chance that he will spin a 1 or a 3.
the number cube might be difficult to understand, but because there are 3 even numbers and 3 odd numbers, the chances of rolling an even or an odd number are equal: 50/50 chance, which represents his chances of having mrs. waugh as a teacher.
i hope that this helped!
Answer:
the answer would be spinning a 3 and getting an even number on the number cube. read why below!
Step-by-step explanation:
the guy is right