The measure of central tendency best suited for the given situation are mode (a), median (b) and mean (c) respectively.
a. The measure of central tendency best suited for this situation is the mode, because it would provide the most representative score of the favorite season. The mode is the most commonly occurring value in a set of data, so it would be useful for determining the most popular season among the sample of 50 adults.
b. The measure of central tendency best suited for this situation is the median, because it would provide the most representative score of the length of stay in the hospital after a routine appendectomy. The median is the middle value in a set of data when the values are arranged in numerical order, and it is not affected by very high or very low values (as the mean is). Therefore, it would be the most useful for determining the average length of stay in the hospital for this particular sample.
c. The measure of central tendency best suited for this situation is the mean, because it would provide the most representative score of the standardized reading test scores. The mean is the average of all the values in a data set, so it would be useful for determining the average score of the sample of children from the middle-class, suburban elementary school.
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please please please
i have literally been working on this all day :(
what is the time complexity of this pseudocode? somefunc(int n) { int n)
It has a time complexity is 1 as n is a constant.
Time complexity
The time complexity is the number of operations an algorithm performs to complete its task . The algorithm that performs the task in the smallest number of operations is considered the most efficient one in terms of the time complexity.
The number of operations in the best case is constant. The best-case time complexity would therefore be Θ (1). Most of the time, we perform worst-case analysis to analyze algorithms. In the worst analysis, we guarantee an upper bound on the execution time of an algorithm which is good information.
A simple way of quantifying complexity on a structural basis would be to count the number of components and/or interactions within a system.
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a cell phone has 75% of its charge left. Which number line shows the point that represents 75%?
Answer:
750%
Step-by-step explanation:
Number lines shows the represents the point
But 1000 - 250 %
And the answer is 750%
Find all real solutions to x^2 - 12x + 40 = 0
Answer:
No real solutions
Step-by-step explanation:
[tex]x^2-12x+40=0 \\ \\ x^2-12x=-40 \\ \\ x^2-12x+36=-4 \\ \\ (x-6)^2=-4[/tex]
By the trivial inequality, there are no real solutions.
Local authority A has made a study of material being recycled per household following the introduction of a recycling scheme. Information from other local authorities that have introduced similar recycling schemes is that recycling material collected each week per household follows a normal distribution with mean 40kg and standard deviation of 15kg and is independent over households. It is considered reasonable to assume that the information from the other local authorities is applicable to local authority A.a. For a randomly selected household whose recycled material is collected by local authority A calculate the probability that the recycled material collected in a given week is less than 30kg. [4]b. A random sample of 100 households is taken and the sample mean recycled material collected per household is found. Calculate the probability that the sample mean recycled material collected in a given week is less than 30kg. [7]c. The sample mean recycled material of 100 households on a single street is taken and found to be 30kg. Why is this not necessarily overwhelming evidence that the recycling scheme of local authority A is not working as well as for other local authorities?d. To encourage increased recycling performance, local authority A introduces an extensive advertising campaign. Following the campaign, the authority collect a random sample of 1,000 households and find the sample mean recycled material is 41kg. Construct a 95% confidence interval for the mean amount of recycled material per household in local authority A, treating population standard deviation as known as 15kg. Is there statistically significant evidence of increased recycling following the campaign?
The standard deviation is a useful tool in understanding the spread of data and making inferences about the population mean based on sample means.
The standard deviation is a measure of how spread out the data is from the mean.
In this case, the mean recycled material collected per household in other local authorities is 40kg with a standard deviation of 15kg.
In part a, the probability of a randomly selected household recycling less than 30kg in a given week is calculated. In part b, the probability of the sample mean recycled material collected in a given week being less than 30kg for a sample of 100 households is calculated.
In part c, it is explained that finding a sample mean of 30kg for 100 households on a single street does not necessarily mean that the recycling scheme of local authority A is not working.
Finally, in part d, a 95% confidence interval for the mean amount of recycled material per household in local authority A is constructed after an advertising campaign.
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A subset A of R has the property that, given ε > 0 and x ∈ R, there exist a, b ∈ R with a ∈ A and b 6∈ A, such that |x − a| < ε and |x − b| < ε. Can A be countable? Can A be uncountable?
No, a set with the given property cannot be countable.
Yes, a set with the given property can be uncountable.
This property is known as being "dense in R," and a classic example of a dense, uncountable set is the set of real numbers, R itself.
A set is a logically arranged group of items that can be represented in either set-builder form or roster form in mathematics. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements.
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How much is 64 fluid ounces in gallons?
The number of gallons in 64 fluid ounces would be 0.5.
What is the difference between fluid ounces in gallons?While fluid ounce, denoted by the sign "fl oz," is an imperial measurement system in the US systems volume unit, gallon is a volume unit in the US Customary measurement systems. Thirty-eight fluid ounces make up a gallon of water. It takes 128 fluid ounces to make up a fluid gallon.
Despite the fact that they are very different, ounces and fluid ounces both serve as units of measurement. As the name suggests, fluid ounces are designed to measure volume (generally of liquid ingredients like water), whereas ounces measure weight, typically of solid materials like all-purpose flour.
In a gallon, there are 128 fluid ounces. However, it can change depending on whether the unit system is in use for liquid or dry gallons. There are 148.94545 ounces in a dry US gallon. There are 153 fluid ounces in an Imperial gallon if you measure using the British Imperial method.
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consider the following function of x = (x1; x2; x3; x4; x5; x6): f(x) = log 5 maxfx1; x2g x3 x4 (x5 x6) 1 2 (5) where is the sigmoid function
The formula given is a logistic function, which is used to map a set of input variables (x1, x2, x3, x4, x5, x6) to a single output value.
The formula takes the maximum of x1 and x2, multiplies it by x3 and x4, and then takes the product of (x5 x6) and 1/2. This product is then passed through a probability , which is a non-linear transformation that outputs a value between 0 and 1. Finally, this output value is taken to the power of 5 to produce the final output of the function. This logistic function is used to map the input values to a single output value, which can then be used to make predictions, such as determining a probability of an event occurring.
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the sum of vectors a and b where a = <3, 2> and b = <-1, 4> is
The sum of vectors a and b where a = <3, 2> and b = <-1, 4> is <2, 6>.
The sum of vectors a and b is found by adding the corresponding components of each vector. In this circumstance, the vectors a and b are given as follows:
a = <3, 2>
b = <-1, 4>
The sum of a and b is simply:
a + b = <3, 2> + <-1, 4> = <3 + (-1), 2 + 4> = <2, 6>
So, the sum of vectors a and b is equal to the vector <2, 6>.
Geometrically, the sum of vectors a and b can be represented as the displacement from the tail of vector a to the head of vector b or vice versa. This displacement is the result of adding the vectors, and it starts at the tail of either vector and ends at the head of the other vector.
The sum of vectors is a fundamental concept in linear algebra and is used to describe changes in position, velocity, or any other physical quantities that can be represented as vectors.
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Need helppppppp asapppppp
All the required relationship is given below.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A linear function: y = mx + b,
and an exponential function : y = a(b)ˣ
In a linear function,
y = mx + b.
m is the slope or rate of change and b is the y-intercept.
In an exponential function: y = a(b)ˣ,
a is the initial value and r is the rate of change.
When the x-values rise by a certain amount, the y-values change in different ways for linear and exponential relationships:
The y-values in a linear connection differ by an equal amount.
The y-values have identical ratios in an exponential relationship.
Because both linear and exponential equations must rise at the same pace as they began, they are similar.
Therefore, the required relationship is given above.
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What is the regression coefficient bxy from the following details X = 7/3Y + 28.10; Y = 1.5x + 10
The slope of the regression line connecting X and Y is represented by the regression coefficient bxy, which is -7/3.
The linear relationship between two variables, X and Y, is measured by the regression coefficient bxy. The regression coefficient bxy in this instance is -7/3. By rearranging the provided equation to take the form y = mx + b, which is the equation of a straight line, it is possible to determine this coefficient. The equation is rearranged to give us y = (-7/3)x + 28.10. The slope of the line, which is -7/3, is the coefficient bxy. The negative sign shows that X and Y have an inverse relationship, which means that when one goes up, the other goes down. Regression coefficient, which in this case is -7/3, is a useful indicator of the strength of the linear relationship between two variables.
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PLS HELP ASAP !!!!!!!!!
Which point is a solution to the system of linear equations?
y = −x + 1
3x − y = 3
three halves comma negative one half
(1, 0)
negative one half comma three halves
(0, 1)
The point is a solution to the system of linear equations is (3/4, 1/4).
What is a linear system of equations?A system of linear equations consists of two or more equations, each of which has two or more variables, all of which are taken into account concurrently. Any ordered pair that satisfies each equation separately is the solution to a system of two-variable linear equations.
Let the equation be
x + y = 1 ------(1)
3x - y = 3 ------(2)
Add equation (1) and (2), we get
x + y + 3x - y = 1 + 2
simplifying the equation, we get
⇒ 4x = 3
⇒ x = 3/4
Put x = 3/4 in equation (1), then
3/4 + y = 1
simplifying the equation
y = 1 - 3/4
y = 1/4
(x, y) = (3/4, 1/4)
The conclusion is that (3/4, 1/4) is the solution to the system of linear equations.
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A school principal wants to conduct a survey of student electronic use in her high school. She wants to select an SRS of 50 from the 690 students in the school using a random number table. Which of the following are correct methods for labeling the population? Check all that apply. 00–50 000–689 001–050 001–690 001–999
The correct method of labelling the population for SRS is 001 - 690.
What is a simple random sample(SRS)?
In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
For the given question,
Total number of students = 690
Number of students to be selected for SRS = 50
One method of creating a straightforward random sample is to number the students from 1 to 690 before using a random number generator to select 50 numbers. A random sample is the most effective at eliminating potential bias because every member of the population has an equal chance of being chosen.
Any two participants must have an equal chance of being selected for the sample, and any group, that isn't larger than the sample size, must be able to have all of its members selected.
Therefore the correct method of labelling the population for SRS is 001 - 690.
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Answer:
B. 000–689
D. 001–690
Step-by-step explanation:
"Two of these answers are correct"
brody and his mom are volunteering at an emergency relief center. to help prepare in case of a flood, they pack emergency kits with food and water. brody puts 5 water bottles into each kit they pack. in all, he packs 125 water bottles.which equation can you use to find the number of emergency kits k brody packs?
You can use the equation:
k = 125 / 5
Where k is the number of emergency kits that Brody packs and 5 is the number of water bottles he puts in each kit.
EQ for Emergency Kit CountThis equation is determined based on the information given in the problem: "Brody puts 5 water bottles into each kit they pack, and in all, he packs 125 water bottles." To find the number of kits, we need to divide the total number of water bottles (125) by the number of water bottles in each kit (5). This gives us the number of kits, k, that Brody packs.
This equation is specific to this problem and may not be applicable to every problem. It depends on the specific information given in each problem. In general, to determine the equation for a problem, you need to understand the relationships between the variables involved and express them mathematically. The equation will depend on the specific details of the problem and may not be the same for every problem.
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A loss of 15% is incurred by selling an article at Rs 10200. At what price should one sell it in order to make a profit of 15%?
The selling price of the article that makes 15% of the profit will be Rs 13,800.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A loss of 15% is incurred by selling an article at Rs 10,200. The cost price of the article is given as,
⇒ Rs 10,200 / (1 - 0.15)
⇒ Rs 10,200 / 0.85
⇒ Rs 12,000
The selling price of the article that makes 15% of profit is given as,
⇒ Rs 12,000 x (1 + 0.15)
⇒ Rs 12,000 x 1.15
⇒ Rs 13,800
The selling price of the article that makes 15% of the profit will be Rs 13,800.
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What is the tilde approximation of the following growth function? f(n) = n + 5n^4 + nlg(n) ~n^4does not exist ~5 5n^4 ~5n^4 n^4~nlg(n)
The tilde approximation of the growth function f(n) = n + 5n^4 + nlg(n) is ~5n^4.
The tilde notation is used to describe the asymptotic behavior of a function, which means how the function grows relative to other functions as the input gets very large.
To determine the tilde approximation of the function f(n) = n + 5n^4 + nlg(n), we need to identify the term that grows the fastest as n becomes very large.
Analyze the first term: n. As n gets larger, the term n becomes relatively smaller compared to the other terms in the function.
Analyze the second term: 5n^4. This term grows much faster than the first term as n becomes larger.
Analyze the third term: nlg(n). The logarithmic term grows slower than the polynomial term, meaning that it becomes relatively smaller as n becomes larger.
Based on the analysis above, we can conclude that the dominant term in the function is 5n^4.
Therefore, the tilde approximation of the function f(n) = n + 5n^4 + nlg(n) is ~5n^4, meaning that the function grows approximately as n^4 when n becomes very large.
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find a vector in space with two directional cosines equal to 5 6 and 2 3 . if no such vector exists, explain why
No such vector exists because the directional cosines must be unit vector, with a magnitude of 1.
The directional cosines of a vector are ratios of the components of the vector in the x, y, and z directions. Each directional cosine is a unit vector, meaning it has a magnitude of 1. Therefore, if the directional cosines of a vector are 5 and 6, as in the question, the magnitude of the vector would be the square root of (5^2 + 6^2), which is 7.81. Similarly, if the directional cosines are 2 and 3, the magnitude of the vector will be the square root of (2^2 + 3^2), which is 3.61. Therefore, the magnitude of the vector would be neither 5 nor 6, so no such vector exists.
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Please help!!!!!!!!!!!!!!!!!!!!!!!
The answers to each part of the question is given below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Kumiko has $50 gift card for a website.
An inequality is a used to make a unequal comparisons between two numbers or expressions.{ 1 }
We can write the inequality as -
2.5g + 1.5a ≤ 50
{ 2 }
The graph of the inequality is plotted. The shaded region represents the possible set of solutions.
{ 3 }
We can write the combinations as -
10 games and 5 apps15 games and 5 apps0 games and 33 appsTherefore, the answers to each part of the question is given above.
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A number is called "bright" if it is 34 times larger than the sum of its digits. How many "bright" three-digit numbers are there?
A : 0
B : 1
C : 2
D : 3
E : 4
Step-by-step explanation:
Let the number be [tex]\overline{abc}=100a+10b+c[/tex].
[tex]100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0[/tex]
Taking the equation mod [tex]11[/tex] yields [tex]-8b \equiv \pmod{11}[/tex], meaning [tex]b=0[/tex].
So, [tex]22a-11c=0 \implies c=2a[/tex].
So, the only possibilites are [tex](a,c)=(1,2), (2,4),(3,6), (4,8)[/tex].
Therefore, there are [tex]4[/tex] such numbers.
A plane is traveling at a constant speed of K kilometers per hour. Which coordinate is
represented on the graph?
(1,K)
(K,K)
V
Time (hr)
Distance (km)
(K,1)
CLEAR
CHEC
S
A plane is traveling at a constant speed of K kilometers per hour. The coordinate represented on the graph is option A: (1,K)
What is speed?
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The plane is traveling at a constant speed of K kilometers per hour.
K is considered the speed of the plane.
The formula for speed is given as -
Speed = Distance / Time
K = Distance / Time
Distance = K × Time
The value of time is given 1 hour.
Distance = K × 1
Distance = K miles
Therefore, k miles will be traveled in one 1 hour and ordered pair of the given point on the line will be (1, k).
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In a bag of jolly ranchers, it consisted of: 15 cherry, 20 green apple, 17 blue raspberry, 10 grape and finally 13 watermelon. Write the ratio of CHERRIES to GRAPES and ratio of GREEN APPLES to GRAPES
The ratio of CHERRIES to GRAPES is 3:2.
The ratio of GREEN APPLES to GRAPES is 2:1.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
In a bag of jolly ranchers, it consisted of:
15 cherry, 20 green apple, 17 blue raspberry, 10 grape and 13 watermelon.
So, the ratio of cherries to grapes
= 15 / 10
= 3/ 2
and, the ratio of Green apples to Grapes
= 20 / 10
= 2
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Please help me out! Thank you:)
Yes, these two triangles are similar. these are similar by SAS~ rule of similarity.
What is similarity?When two figures have the same shape but differ in size, they are said to be similar figures. In other words, two figures are said to be comparable when they have many characteristics but aren't necessarily identical.
Similar figures are two shapes with the same dimension or common ratio but a different size or length, such as triangles, polygons, quadrilaterals, etc.
If two triangles are comparable, then any pairs of triangles with the same corresponding angles are also comparable.
Triangles have proportional sides on all matching sides.
In this 20.8/23.4 = 8/9
and angle between these two sides are congruent.
So these triangles are similar by the rule of SAS~ of similarity.
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se sabe que el caudal transportado es de 18.4m3/s; la pendiente de fondo es de 0.022 y el coeficiente de rugosidad es de 0.024. utilice el método de integración gráfica.m
Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.
El caudal transportado es el volumen (m3) de agua que fluye a través de una sección transversal de un canal por unidad de tiempo, en este caso es de 18.4m3/s. La pendiente de fondo es la pendiente de la superficie de fondo de un canal, en este caso es de 0.022. El coeficiente de rugosidad es una medida de la rugosidad del canal, en este caso es de 0.024.
Para calcular el gasto del canal utilizando el método de integración gráfica, se usa la siguiente fórmula:
Q = A*(S^(1/2))*C*(L^(2/3))
Donde Q es el gasto en m3/s, A es el área de sección transversal del canal en m2, S es la pendiente de fondo en m/m, C es el coeficiente de rugosidad del canal y L es la longitud del canal en m.
En este caso, el área de sección transversal es de 18.4m2, la pendiente de fondo es de 0.022 m/m, el coeficiente de rugosidad es de 0.024 y la longitud del canal es de 400m.
Utilizando los datos anteriores, el gasto del canal es de:
Q = 18.4 * (0.022^(1/2)) * 0.024 * (400^(2/3))
Q = 18.4 * 0.05 * 0.024 * 8.93
Q = 18.4m3/s
Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.
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Natalia decided to build a garage and began by calculating the number of bricks required. The garage was to be 6 m by 4 m and 2.5 m in height. Each brick measures 22 cm by 10 cm by 7 cm. Natalia estimated that she would need about 40 000 bricks. Is this a reasonable estimate?
Answer: Yes
Step-by-step explanation:
So, first of all, convert all the given quantities in the same unit.
6m = 600cm
4m = 400cm
2.5m = 250cm
Now, volume of the garage = 600 x 400 x 250
= 60,000,000cm³
And, volume of a brick = 7 x 22 x 10
= 1,540cm³
Number of bricks needed = 60,000,000 ÷ 1,540
≈ 39,000
So yes, Natalia's estimate is correct.
Solve the inequality for x and identify the graph of its solution. |x+3l > 2l
Choose the answer that gives both the correct solution and the correct graph.
(I attached an image)
Answer: C
Step-by-step explanation:
x+3>2 and x+3<-2 (flip the sign)
if we solve both of them we get
x < -5 and x > -1
plot on number line accordingly
the graph of y=f(x) is a quadratic function
list all integer solutions of f(x)(more than or equal to sign)0
The integer solutions of the graph are x = -1, 0, 1, 2, 3 and 4
How to determine the integer solutionsThe complete question is added as an attachment
To determine the solution of f(x) at tthe points where f(x) is more than or equal to 0.
We make use of the positive y-axis
On the positive y axis, the values of x are
x = -1 to 4
This means that the solution is x = -1, 0, 1, 2, 3 and 4
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Please answer the attached maths question. im ina hurry so please do it fast youll get 30 points dont bother drawing the graph. i just need the inequality equation i
The solution to the inequality is -5 <= x <= -3.
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x^2 + 8x + 15 <= 0
Expand
x^2 + 3x + 5x + 15 <= 0
Factorize the expression
(x + 3)(x + 5) <= 0
Expand
x + 3 <= 0 and x + 5 <= 0
So, we have
x <= -3 and x <= -5
When combined, we have
-5 <= x <= -3.
Hence, the solution is -5 <= x <= -3.
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what is the intercept in the system of equations -0.4x+0.25y=-2.175 and 2x +y=7.5
The solution to the system of equations in this problem is given as follows:
(4.5, -1.5).
How to obtain the intercept of the system of equations?The intercept of the system of equations is equivalent to the solution of the system of equations.
The system in this problem is defined as follows:
-0.4x + 0.25y = -2.175.2x + y = 7.5.On the second equation, we isolate y, as follows:
y = 7.5 - 2x.
Replacing on the first equation, the value of x is obtained as follows:
-0.4x + 0.25(7.5 - 2x) = -2.175
0.9x = 4.05
x = 4.05/0.9
x = 4.5.
Hence the solution for y is given as follows:
y = 7.5 - 2(4.5)
y = 7.5 - 9
y = -1.5.
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Match the reason to the statements in the proof.
Given:
1 m<1+<5=189
m<1+m<4=180
Prove:
—> | | —>
YZ UV
Therefore , the solution of the given problem of angles comes out to be
YZ || UV by following given equality.
what is an angle?Euclidean geometry defines an angle as a shape made up of two rays, referred to as the angle's extremities, that come together at a vertex in the middle. Two rays may combine to form an angle in the surfaces where they are positioned. When two planes collide, an angle too is created. They are referred to as dihedral angles. The shape that two rays and lines with a similar termination can adopt in plane geometry is called an angle. The word "angle" in English is derived from the Latin word "angulus," which meaning "horn."
Here,
Given :
=> m∠1 + m∠5 = 180°
=> m∠1 + m∠4 = 180°
To prove :
YZ || UV
Since,
=> m∠1 + m∠5 = m∠1 + m∠4
=> m∠5 = m∠4 (are equal)
and
=> m∠1 = m∠1 (given)
So, by the following we can say
=> YZ || UV
Thus , YZ || UV .
Therefore , the solution of the given problem of angles comes out to be
YZ || UV by following given equality.
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can you please solve this?
Dog's position= p
Distance = rate*time
Dog distance= 720T
The fox position= p+60
Distance= rate*time
d= 750t-60 (Subtract 60 since the fox is already ahead of the dog)
We want to know if their distances are the same. So set up an equation.
720t=750t-60
-750t -750t
-30t/-30= -60/-30
t=2(Time)
d= 720(2)= 1440
d= 750(2)-60= 1440
