The answer choice that is the best measure of center for the data, and what is its value is D. The median is the best measure of center, and it equals 8.
How to calculate this?A measure of center gives an idea of the central tendency of the data.
The median is a better choice here because it is not affected by extreme values, unlike the mean.
From the dots plotted on the line graph, it is evident that there are more data points around 8 than any other value. Hence, the median of the data would be closest to 8.
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Answer: The median is the best measure of center and it equals 8
Step-by-step explanation:have a good day!
Identify the percent of change as an increase or a decrease.
5/4
to 3/8
The value changes from 5/4 to 3/8 , then the percent of change from 5/4 to 3/8 is a 60% increase. So, the value change from 5/4 to 3/8 increases in percentage.
To determine whether the percent of change is an increase or a decrease, you need to calculate the difference between the old value and the new value as a percentage of the old value.
The old value is 5/4 and the new value is 3/8. To calculate the difference, you subtract the new value from the old value: 5/4 - 3/8 = 5/4 - 3/8 = 15/32.
Next, you need to express the difference as a percentage of the old value. To do this, you divide the difference by the old value and multiply by 100%. That gives you (15/32) / (5/4) * 100% = 60%.
Since the result is a positive percentage, it means that the percent of change is an increase. So, the percent of change from 5/4 to 3/8 is a 60% increase.
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On a hot summer day, Judith and her friends decided to have a water fight. They threw water balloons for 1 hour and 13 minutes. When all the water balloons were gone, they sprayed water with hoses for 21 minutes. The water fight ended at 1:08 P.M. when Judith's dad showed up with ice cream. What time did the water fight start?
Answer:
11:34 AM
Step-by-step explanation:
To find out the start time of the water fight, we need to subtract the total time it took from the end time.
End time: 1:08 P.M.
Total time: 1 hour and 13 minutes for water balloons + 21 minutes for hoses = 1 hour and 34 minutes
So, we subtract 1 hour and 34 minutes from 1:08 P.M.
1 hour before 1:08 P.M. is 12:08 P.M.
34 minutes before 12:08 P.M. is 11:34 A.M.
Therefore, the water fight started at 11:34 A.M.
How many bagels can you buy for $50?
A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.
number of bagels price in dollars
12 5
The linear equation is 12y = 5x. Then the number of bagels when you buy for $50 will be 120 bagels.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A shop sells bagels for $5 per dozen.
Let 'x' be the number of bagels and 'y' be the total cost. Then the equation is given as,
y / x = 5 / 12
12y = 5x
The number of bagels when you buy for $50 will be given as,
12(50) = 5x
600 = 5x
5x = 600
x = 120
The number of bagels when you buy for $50 will be 120 bagels.
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PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
[tex] \sf \: x = 6[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ 4x + 10 = 34
Then the value of x will be,
→ 4x + 10 = 34
→ 4x = 34 - 10
→ 4x = 24
→ x = 24 ÷ 4
→ [ x = 6 ]
Hence, the value of x is 6.
Luzia ran the 400-meter race three times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If
Luzia’s average time was 54.0 seconds, what was her time, in seconds, for the third lap
The answer is 53.7
The solution is, 53.5 sec was her time, in seconds, for the third lap.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given
Number of times Lucia ran the race=n=3
Slowest time= x_1=56.3 sec
Fastest Time= x_2=52.2 sec
Average time=54.0 sec
Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.
Let
x_3=the third race^' s time
So,
Average=(Sum of values)/(Number of values)
Average = (x_1+ x_2+ x_3)/n
Putting the values
54.0= (56.3+ 52.2+ x_3)/3
Multiplying 3 with 54.0 and adding 56.3 and 52.2
162= 56.3+52.2+ x_3
162= 108.5+ x_3
x_(3 )=162-108.5
x_(3 )=53.5 sec
Hence, The solution is, 53.5 sec was her time, in seconds, for the third lap.
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What is the End behavior
Answer: In math End Behavior describes a graph at its end values. To explain, it is the high values and what the graph would like like as x values get very high and how it would look for the y values. Also, in terms of graph looks, this could be an exponential or logarithmic curve as values get very high. Think about End Behavior as the graphical patterns when the values get high. Hope this helps! Please give this a brainiest if this was helpful as I am one away from the next rank.
Step-by-step explanation:
Answer:I hope this helps
Step-by-step explanation:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
End behavior refers to the appearance of a graph as it is followed indefinitely in either horizontal direction. Leading coefficient POSITIVE: both "ends" are UP. Leading coefficient NEGATIVE: both "ends" are DOWN. Leading coefficient POSITIVE: left end is DOWN and right end is UP.
If the degree is odd and the lead coefficient is positive, then the right end of the graph will point up and the left end will point down. If the degree is odd and the lead coefficient is negative, then the right end of the graph will point down and the left end will point up
saeng wants to run the 100-meter-dash in a certain number of seconds.the table shows the change in times from her goal and her actual times for five races. between which two race numbers is saeng's third race.
race change in time from goal (s)
1 -1.2
2 +1 1/10
3 -1 1/4
4 -1.4
5 +1 1/2
Saeng's third race is between race 2 and race 3.
What is ordering?Ascending order: Arranging the numbers from lowest number to highest number.
Descending order: Arranging the numbers from highest number to lowest number.
The times for 5 races are given in the table
Race timings
1 -1.2
2 [tex]+1\frac{1}{10}=1.1[/tex]
3 [tex]-1\frac{1}{4}=-1.25[/tex]
4 - 1.4
5 [tex]+1\frac{1}{2}=1.5[/tex]
Arranging the timings in ascending order we get,
-1.4,-1.25,-1.2,1.1,1.5
Hence third race is -1.2 it lies between race 2 and race 3.
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What is the sign of39 11\13 + (-41 1/13)?
Answer: - negative
Step-by-step explanation:
The number 41 has a negative sign and it is greater than 39.
T-5/t-3=t-3/t+3+1/t-3
The value of equation is -3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given;
T-5/t-3=t-3/t+3+1/t-3
Now
T-5/t-3=t-3/t+4/t-3
-5t=-2t+9
-3t=9
t=-3
Therefore, the answer of the equation will be -3.
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Help please (will mark as brainlest)
Answer:
Below
Step-by-step explanation:
1) The domain can be ANY value of 'x' except 'x' that cause the denominator to = 0 and it cannot be 'x' values that cause the denominator to be negative as this is not allowed
so x cannot be 5 or greater
(-∞ , 5) is the domain in interval notation
or you could just write x < 5
2) you cannot have a negative square root so the domain would be all 'a'
that the numerator would be 0 or greater (you CAN have a square root of '0' in the numerator)
7-5a ≥ 0
7 ≥ 5a
7/5 ≥ a or flipping it around a ≤ 7/5
3) 15x^3y^2 + 10x^2 y - 20 x^2 y^3
you can factor out a x^2 5 and y from all three terms to get :
5 x^2 y ( 3xy + 2 - 4 y^2 ) there ya have it !
a club sold 275 tickets for a fundraiser at the community center. student tickets cost $3, and adult tickets cost $5. the total value of tickets sold is $1,025. how many adult tickets were sold? 125
There were 100 adult tickets sold.
Substitution Method:When solving a system of equations with two unknowns, one of the techniques to find the unknown values is the substitution method. In this method, one equation is substituted to the other equation to achieve a final equation that contains only one of the unknowns. The value remaining unknown can be derived directly from the final equation. By substituting the first value to one of the original equations, the other unknown may be derived.
Let A be the number of adult tickets sold and S be the number of student tickets sold.
The total tickets sold is 275.
A + S = 275_________(Eq. 1)
Also, the total sales is $1025.
5A + 3S = 1,025_______(Eq. 2)
From the Equation 1
S = 275 - A [Subtract A from both sides]
Using this value of S, substitute S in the second equation.
5A + 3(275 - A) = 1,025
5A + 825 - 3A = 1,025
2A = 200 [Subtract both sides 825]
A = 100 [Divide both sides by 2]
Hence, There were 100 adult tickets sold.
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sierra read for 220 minutes 1 week. Chen read for 1/2 hour a day for 7 days which explanation is correct
The correct answer is option D: Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
To determine the correct answer, we need to use the unitary method. This method involves converting the units of measurement into a common unit and then comparing them.
In this case, we need to convert hours into minutes to compare the reading time of Sierra and Chen.
An hour is equal to 60 minutes. Therefore, 1 hour a day for 7 days is equal to
=> 60 minutes * 7 days = 420 minutes.
However, we need to divide this number by 2 because Chen only read for half an hour a day. Hence, Chen read for 210 minutes
=> (420 minutes / 2).
Now that we have both the reading times in minutes, we can compare them. Sierra read for 220 minutes while Chen read for 210 minutes. As 220 > 210, it is clear that Sierra read for more time.
In conclusion, option D is the correct answer as Chen read for less time because an hour a day for 7 days is equal to 210 minutes. The unitary method is useful in comparing measurements with different units and it provides us with accurate results.
Complete Question:
Sierra read for 220 minutes in 1week. Chen read for an hour a day for 7 days. Which explanation is correct?
A. Sierra read for more time because 220 is greater than
B. Sierra read for less time because minutes are less than hours.
C. They read for the same amount of time because 1 week is equal to 7 days.
D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
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Select all the equations that are equivalent. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48 E. n = 6
The equivalent equations are:
52 = 8n + 4
4(2n + 1) = 5
4 = 52 – 8n
n = 6
Options A, B, C, and E are the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 5 is an equation.
We have,
A.
52 = 8n + 4
8n = 52 - 4
8n = 48
n = 6
B.
4(2n + 1) = 52
8n + 4 = 52
8n = 52 - 4
8n = 48
n = 6
C.
4 = 52 – 8n
8n = 52 - 4
8n = 48
n = 6
D.
4n = 48
n = 12
E.
n = 6
Thus,
The equivalent equations are:
52 = 8n + 4, 4(2n + 1) = 5, 4 = 52 – 8n, and n = 6.
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a car is driven at 70 miles per hour over a road whose surface is sinusoidal with a period of 30 feet. how many times per second will the car go over the peak of a bump?
When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.
what is trigonometry ?The relation between rectangle side angles and the lengths is examined in the mathematics branch known as trigonometry. The application of geometries in astronomical study gave rise to the county's first appearance in the Hellenistic era, roughly in the third centuries BC. Exact approaches mathematics concentrate on certain right triangle and how they could be applied to calculations. In trigonometry, there are six well-known trigonometric expressions. They are known by their various names and acronyms: sine, cosine, parallel, cotangent, cotangent, and cosecant (csc). The features of all geometric forms are studied in geometry.
given
first convert 40 miles per hour (mph) into feet per second (fps):
1 mile is equal to 5280 feet, and a speed of 40 miles per second is equal to 3600/405280, or 58.6667 feet per second.
Second, determine how many times per second the car will pass a bump:
The vehicle crosses a sinusoidal road with a period of 30 feet, where
P = 30 feet frequency
speed/P = 30/58.667 = 1.9556 times per second.
When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.
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Un randonneur a une vitesse moyenne de 6 km/h
a.Quel temps met-il pour parcourir 18 km/h?
b.Quelle distance parcourt-il en 30 min ?
Answer:
a. 3 heures
b. 3 km
Step-by-step explanation:
a. Pour parcourir 18 km, un randonneur met 18 km / 6 km/h = 3 heures.
b. Pour parcourir une distance en 30 minutes, la vitesse est de 18 km / 3 heures = 6 km/h, donc la distance parcourue en 30 minutes est 6 km/h * 30 min / 60 min = 3 km.
Find the Missing Sides of the 30-60-90 special right angle.
Answer:
10.39
Step-by-step explanation:
In a 30-60-90 right triangle, the ratio of the three sides are
√3 : 1 : 2
The longest side is, of course, the hypotenuse
In general, if the hypotenuse is a, The side opposite the 30° angle is a/2 and the side opposite the 60° angle is a(√3/2)
Given a = 12, y = 12/2 = 6
x = ( √3/2) x 12 = 10.39
What’s the inequality
A local restaurant charges $15 for a jumbo cheese pizza and $1.35 for each additional topping. Write an equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.
An equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza is y = 1.35 x + 15.
As per the data given:
A local restaurant charges $15 for a jumbo size cheese pizza.
Each of the additional topping costs $1.35.
Here we have to determine an equation, in the slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.
Considering y as the cost of pizza and x be the amount of topping added.
Cost of a pizza with toppings
y = 1.35 x + 15
The equation for the slope-intercept form is y = mx + c
m will be the slope of the equation.
Here, the slope of the equation is 1.35
The Y-intercept is equivalent to the price of the base pizza i.e. 15
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There are 25 flowers in all in the garden. Daisies make up 60% of the flowers in the garden. How many flowers in the garden are daisies?
Answer:
The number of daisies in the garden is 25 x 60% = 15 flowers.
Step-by-step explanation:
The solution for the number of daisies in the garden is found by multiplying the total number of flowers by the proportion that are daisies.
25 flowers * 60% daisies = 15 daisies
So, there are 15 daisies in the garden.
what are all the digests of pie after 3.141592653589793238462643383279?
Answer:
50288419716939937510.... and so on.
Pi is a never ending number, so it goes on and on forever.
Step-by-step explanation:
Hope it helps! =D
Pedro tiene como proyecto de construir la casa de sus sueños, estuvo ahorrando dinero, pero no fue suficiente ya que para hacer la casa al 100% necesita 60.000.0000$ lo que quiere decir que le faltan 35.000.0000$ para poder juntar todo el dinero. Contemplo la posibilidad de prestar en un banco los 35.000.000$ para pagarlos en 10 años con una tasa de interés del 8%. Preguntas. ¿Cuánto dinero había reunido Carlos antes de pensar en prestar con el banco? 25.000.000$ ¿Cuánto dinero pagaría Carlos en total al finalizar los 10 años? 37.800.000 ¿Qué precio tendría cada cuota mensual durante los 10 años? 315.000$
Pedro ha reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagará 37.800.000$.
Esto significa que tendrá que pagar 35.000.000$ en total al banco, los cuales se dividirían en cuotas mensuales de 315.000$ durante los 10 años.
Es importante tener en cuenta que con el paso del tiempo, los precios de los materiales de construcción pueden variar, lo que significa que el costo total de la casa puede aumentar o disminuir. Por lo tanto, es importante contar con un presupuesto realista para la construcción. Además, se recomienda controlar el progreso de la construcción para asegurarse de que los costos no se salgan de control.
English Version:Pedro has collected $25,000,000 before thinking about lending with the bank. At the end of the 10 years, Carlos will pay $37,800,000. This means that he will have to pay $35,000,000 in total to the bank, which would be divided into monthly installments of $315,000 over the 10 years.
It is important to keep in mind that over time, the prices of construction materials may change, which means that the total cost of the house may increase or decrease. Therefore, it is important to have a realistic budget for construction. In addition, it is recommended to monitor the progress of the construction to ensure that costs do not get out of control.
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Bilquis sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
9 visitors purchased no costume.
95 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
If next week, she is expecting 2000 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.
Therefore , rounding to the nearest fraction whole number, we would expect about 1696 visitors to purchase exactly one costume next week.
Fraction : What is it ?An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction.
Here,
Out of 112 visitors to the website (9 + 95 + 8), 95 purchased exactly one costume.
So the proportion of visitors who purchased exactly one costume is:
95/112 ≈ 0.848
To estimate how many visitors out of 2000 would purchase exactly one costume, we can multiply the proportion by 2000:
0.848 x 2000 ≈ 1696
Rounding to the nearest whole number, we would expect about 1696 visitors to purchase exactly one costume next week.
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Find X and m
i did 180-64 for the 116, now what?
ASAP
a senator conducted a poll in her state by calling 100 people whose names were randomly sampled from the phone book (mobile phones and unlisted numbers aren't in phone books). the senator's office called those numbers until they got a response from all 100 people chosen. what bias may exist in the study?
In this particular study, Selection bias, Response bias, non response bias and Self-selection bias may exist.
There are several biases that may exist in the study:
1. Selection bias: By only calling people whose names were randomly sampled from the phone book, the study may not accurately represent the population of the state as a whole. Mobile phones and unlisted numbers, which may represent a significant portion of the population, are not included in phone books and therefore not included in the sample.
2. Response bias: The study only includes people who answered the phone when the senator's office called. This means that the sample only represents people who were available and willing to participate in the study. People who were not available or unwilling to participate may have different opinions, which would introduce a response bias.
3. Nonresponse bias: People who did not answer the phone when the senator's office called may have different opinions than those who answered. This nonresponse bias can result in an overestimation or underestimation of the true population values.
4. Self-selection bias: By only calling people who answered the phone, the study may only represent those who are interested in politics or are more likely to participate in political surveys. This self-selection bias can result in an overestimation or underestimation of the true population values.
These biases can lead to inaccurate results and conclusions. To reduce these biases, it's important to use a representative sample of the population and to make sure that the sample is selected in a way that minimizes bias
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Interior angles of triangles
Angle measures pls help!!
For the triangle ABC the interior angles measures ∠A = 48°, ∠B = 82°, and ∠C = 50°.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
According to the angles of a triangle theorem, the sum of angles of a triangle is 180°.
The measure of ∠A = 4x.
The measure of ∠B = 7x - 2.
The measure of ∠C = 5x - 10.
The equation is -
∠A + ∠B + ∠C = 180°
Substitute the values into the equation -
4x + 7x - 2 + 5x - 10 = 180
Collect the like terms -
4x + 7x + 5x = 180 + 2 + 10
16x = 192
x = 192/16
x = 12°
So, the measure of ∠A = 4(12) = 48°.
The measure of ∠B = 7(12) - 2 = 82°
The measure of ∠B = 5(12) - 10 = 50°
The interior angles of the triangle are 48°, 82° and 50°.
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Geometry help needed!!
The value of the missing angles x , y, and z are 63⁰ , 63⁰ and 72⁰ respectively.
What is the value of the missing angles?
The value of the missing angles is calculated by applying the following mathematical method.
x + 85⁰ + 32⁰ = 180⁰ ( sum of angles in a triangle )
x = 180 - 117 = 63⁰
y = x = 63 ⁰ ( opposite angles )
z + y + 45⁰ = 180⁰ ( sum of angles in a triangle )
z + 63 ⁰ + 45⁰ = 180
z = 72⁰
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when designing an experiment, we can increase the level of certainty in our experiemntal results and account for random events. what element within your experiment allows you to do this?
One element within an experiment that allows you to increase the level of certainty in your results and account for random events is the use of a control group.
Describe level of certainty?Level of certainty refers to the degree of confidence or assurance that one has in the accuracy of a particular result, decision, or conclusion. In scientific research, the level of certainty is often expressed as a probability or as a confidence interval, which provides a range of values that are expected to contain the true value with a certain degree of confidence. A higher level of certainty indicates a greater level of confidence that the result is correct, while a lower level of certainty indicates more uncertainty or ambiguity. Factors that can affect the level of certainty in an experiment or measurement include the quality of the data, the size of the sample, the accuracy of the methods used, and the presence of random or systematic errors.
By having a control group, you can compare the results of the experiment against a baseline and isolate any changes caused by the independent variable. Additionally, using a large sample size and repeating the experiment multiple times can also help increase the level of certainty and account for random events.
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please help and answer the following proof! WIll give brainliest
The proof for UX || VW is shown below.
What is Mid point Theorem?According to the midpoint theorem, "The line segment in a triangle joining the midpoint of any two of the triangle's sides is said to be parallel to its third side and is also half the length of the third side."
Given:
As, TUX and TVW are similar.
So, the ratio of their corresponding sides are equal.
So, TU/ TV = UX/ VW = TX / TW = 1/2 {TU/ TV = 1/2}
By using mid point Theorem
UX = 1/2 VW
Then, UX || VW.
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Select all the common denominators for
O A. 10
OB. 20
OC. 24
OD. 32
OE. 40
and
7
10
The denominators for 1/4 and 7/10 are B) 20 and E) 40.
How do you equalize denominators in fractions?1/4 , the denominator is 4.
7/10, the denominator is 10.
We are looking for in the multiple choice, which number can be divided into 4 and 10. Namely the numbers 20 and 40.
To prove:
20, divided by 4 is 5 and divided by 10 is 2.
40, divided by 4 is 10 and divided by 10 is 4.
Then the correct answer is 20 and 40.
As we know that in fractions are divided into two parts, namely the quantifier (located above the dividing line) and the denominator (located below the dividing line.
The quantifier is the number or value that will be divided by the number or denominator value. Meanwhile, the denominator is the number or value that is the number's divisor or the quantifier value.
Your question is incomplete but most probably your full question was:
Select all the common denominators for
1/4 and 7/10.
A 10
B. 20
C. 24
D. 32
E. 40
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M is the midpoint of the diagonals. Use the properties of rotations to show that the measures of both pairs of opposite sides are equal in length.
The measures of both pairs of opposite sides are equal in length using the properties of rotations.
What is rotation?
In mathematics, a rotation is a transformation that spins a shape around an immovable object.
We are given that M is the midpoint of the diagonals.
Since, M is the midpoint of the diagonals, so, VM = MQ and TM = MN.
Since T and N are equidistant from M, and the measure of ∠TMN = 180°, So, r(180°, M)(T) = N
Similarly, r(180°, M)(V) = Q
We can rotate every point on TV in this same way.
So, r(180°, M)(TV) = QN
Similarly, r(180°, M)(TQ) = VN
Since, the rotations are rigid motions and they preserve distance, so, TV=QN and TQ=VN.
Hence, the measures of both pairs of opposite sides are equal in length.
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In the question, the figure is missing which is attached below