The diagonals of parallelogram WXYZ intersect at D. Select all the statements that must be true.
Group of answer choices
XD≅YD
∠WXZ≅∠YZX
XD≅ZD
∠XDY≅∠WDZ
XZ≅WY
Answers
The statements that are true about parallelogram WXYZ:
XD ≅ ZD
∠WXZ ≅ ∠YZX
Consider the following diagram.
The diagonals of parallelogram WXYZ intersect at D.
We know that the property of parallelogram that the diagonals bisect each other.
From this property we get,
XD ≅ ZD
Also, from the definition of parallelogram the opposite sides are equal and parallel.
So, we have
WX and YZ are parallel lines with XY transversal.
So, ∠WXZ ≅ ∠YZX as they are alternate interior angles
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Related Questions
what is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x 2?
Answers
The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.
To find the average rate, follow these steps:
The formula for the average rate of change is expressed as rate= (f (b) - f (a)) / (b - a), where the letters a and b represent two points on the interval that is being analyzed and f (a) and f (b) are the function values of those points. The interval [1, 5] is being considered here so the value of a =1 and value of b=5.So, the average rate of change of y with respect to x is given by;(f(b)−f(a))/(b−a) = [f(5)−f(1)]/(5−1). By substituting x = 5 into the function equation, we get f(5) = \(4(5)^2\) = 100. By substituting x = 1 into the function equation, we get f(1) = \(4(1)^2\) = 4. Substituting these values into the average rate of change formula;[f(5)−f(1)]/(5−1) = (100 - 4) / 4 = 96/4 = 24.Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\) is 24.
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Candice is cleaning the office building's 200-gallon aquarium. For
cleaning, she must remove the fish from the aquarium and drain the
water. The water drains at a constant rate of 10 gallons per minute.
• independent quantity:
?
• dependent quantity:
?
I need the independent quantity + dependent quantity. Using the image I need the exact graph that fits this problem.
Answers
Using function concepts, we have that:
The independent quantity is the time.The dependent quantity is the volume.Graph H fits this problem.What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, the volume is a function of time, hence Volume = f(Time) and:
The independent quantity is the time.The dependent quantity is the volume.The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.
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Solve for x.
Urgent! I need this ASAP!
Answers
Step-by-step explanation:
Since,
x+6 is twice x-3,
x+6=2x-6
x=12.
Option c
What is the y-value of the solution to the system of equations {3x+4y=4 and 2x−4y=6?
Answers
Answer: y = -1/2
Step-by-step explanation:
Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.
3x+4y=4 3x+4y=4
2x-4y=6 -----> (-) 2x-4y=6
For the x value, you would get 2. 5x=10 therefore x=2.
Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.
3x+4y=4 ---> 3(2)+4y=4
3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.
Need help writing the paragraph proof based on information given
Answers
Solution:
Given:
\(\angle A\cong\angle BDA\)From the image,
\(\begin{gathered} \angle A=5x \\ \angle BDA=3x+30 \end{gathered}\)Paragraph proof:
\(\begin{gathered} Since\text{ it is given that }\angle A\cong\angle BDA,\text{ and }\angle A=5x,\angle BDA=3x+30,\text{ then:} \\ \begin{equation*} \angle A\cong\angle BDA \end{equation*} \\ 5x=3x+30 \\ 5x-3x=30 \\ 2x=30 \\ x=\frac{30}{2} \\ x=15 \end{gathered}\)Prove:
x = 15
Please help. Solve 9= -3(x + 6)
Answers
Answer:
x=-9
Step-by-step explanation:
9=-3(x+6)
9=-3x-18
27=-3x
-9=x
Although ratios can be written as a fraction, they are not fractions- what is the difference between ratios and fractions?
Answers
Answer:
ima say this in baby words bcz i dont know how to explain it otherwise sorry lol
fractions are part of an object or sum and a ratio are things comparedish?
Step-by-step explanation:
ratio: 3:4
fraction: 2/8
Answer:
ratios is like part of something i think like 1:3 = 1/3 and fractions can be divided unlike ratios
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answers
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
A car can travel 264 miles on 11 gallons of gasoline. How far can it travel on 2
gallons?
Answers
264/11=24 or how far it can travel on one gallon.
24*2=48, It can travel 48 miles on 2 gallons.
Answer:
The answer is 48 miles.
My Logic
If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!
In one day, a store sold 2/3 as many DVDs as Blu-Ray discs. the total number of DVDs Blu-ray discs sold that day was 280, how many DVDs were sold?
Answers
Answer: Let's start by representing the number of Blu-Ray discs sold as x.
According to the problem, the store sold 2/3 as many DVDs as Blu-Ray discs. So the number of DVDs sold is 2/3 of x, or (2/3)x.
We also know that the total number of DVDs and Blu-Ray discs sold was 280. So we can set up an equation:
(2/3)x + x = 280
To solve for x, we can simplify the equation by combining like terms:
(5/3)x = 280
Multiplying both sides by 3/5, we get:
x = 168
So the number of Blu-Ray discs sold was 168.
To find the number of DVDs sold, we can use the expression we derived earlier:
(2/3)x = (2/3) * 168 = 112
Therefore, the store sold 112 DVDs on that day.
Step-by-step explanation:
is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Answers
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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Find the Y intercept.
(0,3) and (-2,0)
b=____
Answers
Answer:
Same as other person
3
Step-by-step explanation:
We find the Y intercept by getting x to zero and in this case it is already zero
if it wasn't then we would need slope to solve it
1. In a karate class there are 22 students. 15 of the students are male. What 6 is the ratio of females to the total number of students?
22:15
15:22
7:22
7:15
Answers
Answer:
15:22
the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:
3 of 5
The ratio of boys to girls in a group is 7:1. If there are 36 more boys than girls, work out how
many boys there are.
Answers
Answer:
252:36
Step-by-step explanation:
7:1
B:G
36:x
1 = 36
7=252
In an absolute value function if a < 0, does the graph open up or down?
Answers
Answer: upwards
Step-by-step explanation:
a<0<1 positive, opens up. negative opens down.
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work? This equation represents the data: 2.5(12.75x + 24.50) = 188.75 Big Time Movers worked hours on New Year’s Day.
Answers
Answer:
4 hours
Step-by-step explanation:
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
31.875x +61.25 = 188.75 . . . . . eliminate parentheses
31.875x = 127.50 . . . . . . . . subtract 61.25
x = 4 . . . . . . . . . . . . . . . . . . . divide by 31.875
Big Time Movers worked 4 hours on New Year's Day.
Answer:
4 hours
Step-by-step explanation:
The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. Find the rate of change of volume with respect to R.
Answers
The rate of change of volume with respect to R is 4πR².
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.
The volume of the sphere is:
V = (4π/3)(R³)
Differentiating volume with respect to radius gives:
dV/dR = (4π/3)× (3R²) = 4πR²
Thus, the rate of change of volume with respect to R is 4πR².
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A bag contains 3 gold marbles, 9 silver marbles, and 26 black marbles. You randomly select one marble from the bag. What is the probability that you select a gold marble
Answers
The probability of the golden marble is \(\frac{3}{38}\) .
What is probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood that an event will occur increases with its probability.
possible outcome =3
favorable outcomes = 38
Probability = \(\frac{favorable outcomes}{possible outcome}\)
Probability \(=\frac{3}{38}\)
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The vertices of triangle ABC are A(2, 1), B(3, 4), and C(1, 3). If triangle ABC is translated 1 unit down and 3 units to the left to create triangle DEF, what are the corrdinates of the vertices of triagle DEF?
D(0, 1), E(1, 2), F(1, 3)
D(0, -1), E(0, 3), F(-2, -2)
D(-2, 2), E(0, 3), F(-1, 0)
D(-1, 0), E(0, 3), F(-2, 2)
Answers
Answer:
Option 4
Step-by-step explanation:
Translating 1 unit down and 3 units left means to subtract 1 from the y coordinates and 3 from the x coordinates.
It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 25 feet. (You may find it useful to reference the appropriate table: z table or t table)
a. State the null and the alternative hypotheses for the test. H0: μ = 120; HA: μ ≠ 120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120; HA: μ > 120
b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Find the p-value. 0.05 p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05
c. Use α = 0.01 to determine if the average breaking distance differs from 120 feet.
Answers
With a p-value of less than 0.025, we have sufficient evidence to reject the null hypothesis and conclude that the average breaking distance is different from 120 feet, at the 0.01 significance level.
The p-value is a statistical measure that helps us determine the probability of obtaining a result as extreme as the one we observed, assuming that the null hypothesis is true.
In this case, the null hypothesis is that the average breaking distance is 120 feet. The alternative hypothesis is that the average breaking distance is different from 120 feet.
If the p-value is less than the level of significance (0.01 in this case), we can reject the null hypothesis in favor of the alternative hypothesis.
A p-value of less than 0.025 indicates that the probability of obtaining a result as extreme as the one we observed (or more extreme), assuming that the null hypothesis is true, is less than 0.025.
This is a relatively small probability, which provides strong evidence against the null hypothesis. Therefore, we can conclude that the average breaking distance is different from 120 feet.
It is important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true.
It simply means that the evidence suggests that the null hypothesis is unlikely to be true. Further research and analysis may be needed to confirm the alternative hypothesis.
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of a line in point slope form
Answers
m = (Y2 - Y1)/(X2 - X1)
m = (-2 - 1)/(4 - 7)
m = -3/-3
m = 1
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answers
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
a) use these data to estimate the mean wrist extension for people using this new mouse design using a 90% confidence interval. (round your answers to three decimal places.) , (b) what assumptions are required in order for it to be appropriate to generalize your estimate to the population of students at this university? yes, the assumption would have to be made that the 24 students in the study formed a random sample of people in the country. no, we can generalize the estimate to the population of students at this university. yes, the assumption that the 24 students in the study formed a random sample of students at all universities. yes, the assumption would have to be made that the 24 students in the study formed a random sample of students at this university. no, we cannot generalize the estimate to any population as we have less than 30 students. to the population of all university students? no, we cannot generalize the estimate to any population as we have less than 30 students. yes, the assumption would have to be made that the 24 students in the study formed a random sample of people in the country. yes, the assumption would have to be made that the 24 students in the study formed a random sample of students from this university. no, we can generalize the estimate to the population of all university students. yes, the assumption that the 24 students in the study formed a random sample of students at all universities. (c) based on your interval from part (a), do you think there is reason to believe that the mean wrist extension for people using the new mouse design is greater than 20 degrees? explain why or why not. no, the entire confidence interval is below 20, so the results of the study would be very likely if the population mean wrist extension were greater than 20. no, the confidence interval contains 20, so the results of the study would be very likely if the population mean wrist extension were greater than 20. yes, the confidence interval contains 20, so the results of the study would be very unlikely if the population mean wrist extension were as low as 20. yes, the entire confidence interval is above 20, so the results of the study would be very unlikely if the population mean wrist extension were as low as 20.
Answers
The random sample of \(24\) students has a mean of \(1.9149\), and the data suggests that the mean is \(20^{0}\).
How to Use the Sample Mean Formula to Determine the Sample Mean?x = (xi) / n is the general solution for computing the sample mean. Thus, xi refers to all X sample values, xi represents the sampling distribution, and n is the total number of specimen terms inside the data collection.
What does sample in statistics mean?The statistic known as the sampling distribution is created by arithmetically averaging the values of the variables in a group. The sample mean is an estimate of the anticipated value if the sample is taken from probabilistic with a common expected value.
(a) Sample mean \(= (17 + 21 + 20 + 19 + 23 + 22 + 20 + 20 + 18 + 21 + 19 + 24 + 22 + 20 + 19 + 20 + 19 + 20 + 21 + 22 + 23 + 21 + 18 + 22)/24 = 20.5\)Sample standard deviation \(= 1.9149\)
Next, we can use a t-distribution with \(23\) degrees of freedom
Confidence interval \(= (20.5 - 0.8277, 20.5 + 0.8277) = (19.6723, 21.3277)\)
b) The assumption required in order to generalize the estimate to the population of students at this university is that the \(24\) students in the study formed a random sample of students at this university.
(c) There is not enough evidence to suggest that the mean wrist extension for people using the new mouse design is greater than \(20^{0}\).
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a man purchased a bus for Rs 1600000. He earned a profit of Rs 210000 in 3 years. If he sold it after 3 years is at 5% compound depreciation his loss is Rs.
Answers
The loss incurred by the man when he sold the bus after 3 years with a 5% compound depreciation is Rs 228,200.
To calculate the loss incurred by the man when he sold the bus after 3 years with a 5% compound depreciation, we need to determine the depreciated value of the bus after 3 years and then calculate the difference between the purchase price and the depreciated value.
The formula for compound depreciation is given by:
Depreciated Value = Purchase Value * (1 - Depreciation Rate/100)^Number of Years
In this case, the Purchase Value (P) is Rs 1,600,000, the Depreciation Rate (r) is 5%, and the Number of Years (n) is 3.
Substituting these values into the formula, we can calculate the depreciated value of the bus after 3 years:
Depreciated Value = 1,600,000 * (1 - 5/100)^3
= 1,600,000 * (0.95)^3
= 1,600,000 * 0.857375
= 1,371,800
The depreciated value of the bus after 3 years is Rs 1,371,800.
To calculate the loss, we need to subtract the depreciated value from the purchase price:
Loss = Purchase Price - Depreciated Value
= 1,600,000 - 1,371,800
= 228,200
Therefore, the loss incurred by the man when he sold the bus after 3 years with a 5% compound depreciation is Rs 228,200.
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Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the plateau is 20 degrees, how far are you from the base of the plateau?
Answers
We are approximately 17.88 meters from the base of the plateau.
What is an angle of elevation?An angle of elevation is the angle formed between a horizontal line and a line of sight that is directed upward to an object or point above the horizontal level. It is commonly used in trigonometry and geometry to determine the height or distance of an object, such as a building, tower, or mountain.
We can use trigonometry to solve this problem. Let's call the distance we are from the base of the plateau "x".
From the problem, we know that the height of the plateau (the opposite side) is 40m and the angle of elevation (the angle between the horizontal and the line of sight to the top of the plateau) is 20 degrees.
Using the tan function, we get,
tan(20) = 40/x
To solve for x, we can cross-multiply:
x * tan(20) = 40
Then, we can divide both sides by tan(20):
x = 40 / tan(20)
Using a calculator, we get:
x ≈ 17.8798 meters
Therefore, we are approximately 17.88 meters from the base of the plateau.
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A pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Liam measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
Answers
42 feet is the length of the guy wire.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that a pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground.
After placing the pole, Liam measures the distance from the pole to the stake and from the pole to the tower.
We have to find the length of the guy wire
Let the required distance is x and the height of the tower is t.
Use similar triangle ratios to find the value of t:
t / 10 = (9 + 3) / 3
t / 10 = 4
t = 40 feet
Use Pythagorean to find the value of x:
x² = 40² + (9 + 3)²
x² = 1600 + 144
x² = 1744
x = √1744
x = 42 feet
Hence, 42 feet is the length of the guy wire.
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Write something nice about somebody you hate.
Answers
i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,
Choose a small organization in your city, such as a restaurant or school, and draw a chart showing its structure. Do you think the number of levels in its hierarchy and the span of control at each level is appropriate? Why or why not?
Answers
The number of levels in the hierarchy and the span of control at each level in a small organization should be appropriate for effective communication and decision-making.
Is it important to have an appropriate number of levels and span of control in a small organization for effective functioning and communication?In a small organization such as a restaurant or school, it is crucial to have an appropriate number of levels in the hierarchy and a suitable span of control at each level. Too many levels can lead to excessive bureaucracy, delays in decision-making, and inefficient communication flow.
And too few levels can result in a lack of supervision and coordination. Similarly, the span of control at each level should be balanced to ensure effective management and supervision without overwhelming managers with too many subordinates or leaving them with too few.
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what is an absolute value of an interger
Answers
Answer:
its the distance it has from 0 on the number line.
Step-by-step explanation: