the town of pleasantville conducted a 5-year crime prevention program. based on the graph, what was the percent of change in the number of crimes from year 1 to 5

Answers

Answer 1

The requried percentage change in crimes from years 1 to 5 is given as    60.86%.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
From the table.

Crime in year 1 = 23
Crime in year 5 = 9

Percentage change = 23 - 9 / 23 ×100%
                              = 60.86%

Thus, the requried percentage change in crimes from years 1 to 5 is given as 60.86%.

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Related Questions

What is the deadweight losscaused by the subsidy?
A.$100
B.$200
C.$3,200
D.$800

Answers

The deadweight loss caused by a subsidy is the amount of economic welfare that is lost because of the subsidy. In this example, the deadweight loss caused by the subsidy is $800. Therefore, correct option will be D.$800.

This occurs because the subsidy distorts the market by creating a price below the market equilibrium. This results in an inefficient distribution of resources as some consumers are willing to pay a higher price than the subsidized price.

Additionally, it creates an excess demand for the good, resulting in an over-allocation of resources. In this case, the deadweight loss is the difference between the market price and the subsidized price, which is $800. The deadweight loss is a negative externality of subsidies, as it reduces the overall efficiency of the market.

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which of the following statements would be appropriate for the introduction section of a research report? group of answer choices past research shows that men generally talk more than women. for men, the average talking time was 10.7 minutes, while for women the average was 7.4 minutes. contrary to popular belief, in groups of mixed gender, men talk more than women, interrupt more than women, and are more likely to direct discussion topics. while the three men and three women discussed the issue, the experimenter measured time spent talking by starting and stopping stopwatches.

Answers

Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including the precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone. The part of the courtyard that will be covered in stone has an area of 246 square feet. A. What is the width of the fountain? B. What fraction of the area of the courtyard will be occupied by the fountain?

Answers

The width of the fountain will be 3 feet and the fraction of the area of the courtyard will be occupied by the fountain is 3/44

What is the area?

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

The formula and procedure to solve this geometry exercise is:

A(rectangle) = length * width

Information about the problem:

A(stone) = 246 ft^2

A(fountain) = ?

Width = ?

Calculating the area of the fountain we get:

Area of fountain = area of the rectangle - 246

Area of fountain = (12 x 22) - 246

Area of fountain = 264 - 246

Area of fountain = 18 ft^2

Calculating the width of the fountain we have:

A(rectangle) = length * width

18 = W x 6

W = 18/6

W = 3 feet

Calculating the fraction of the area of the courtyard will be occupied by the fountain we get:

Fraction = Area of fountain / area of the rectangle

Fraction = 18 ft^2 /264 ft^2

Fraction = 18/264

Simplifying we have:

Fraction = 3/44

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Question 11.
Solve for x.

Answers

Answer:

isn't it 90? it has the box next to it

you have been hired by an industrial company to lead a project to help improve their custom safety training course. the course is intended to prepare the candidates for a globally recognized certification. to help rate the effectiveness of the course, you create a scatter diagram and compare the hours of preparation (x-axis) with the final score (y-axis) of previous employees. from the diagram, it is determined that there is a negative linear correlation. which conclusion can be made using the data from this chart? answers a. the more time that was used to prepare, the lower the score b. the data is inconclusive; statistical sampling should be used instead c. the amount of preparation time does not directly affect the candidate's score d. the more time that was used to prepare, the higher the score

Answers

The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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Half of Joe's gas bring him birthday presents how many presents did he receive

Answers

Answer:

Specify

Step-by-step explanation:

How many people are in Joe's class. Since it's half, you divide the answer by two.

EX:

If there is 10 people in the class:

10/2 = 5

Which means there are 5 people in the class who brought gifts.

How about another one:


If there are 271 people in the class

272/2 = 136

Which means 136 people in the class brought gifts and there might be a potential landslide of items in Joe's home.

. which interval describes all values of x for which the function f(x) = 2 sin–1(2x) is defined?

Answers

The correct option for given trigonometric function is C.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.

Now,

For f(x)=2sin^-1()2x

the value of x can be in range {-π/2,π/2}

because sine values are in range {-1,1} for given values of x.

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Right question is provided in image.

3. Zakele needs to draw up a budget of his monthly expenses. He earns R6 500 per month. His bills in one month are: Rent R1 650, Electricity R300, Car payment R1 200, Insurance R750, Petrol R400, Account repayments R500 and Groceries R1 200. Given his current expenses, how much money is available for saving?​

Answers

R500 is available for Savings.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Zekele earns = R 6500

His bills in one month are:

Rent R1 650,

Electricity R300,

Car payment R1 200,

Insurance R750,

Petrol R400,

Account repayments R500

and Groceries R1 200.

So, after spending on expenses he would save

= 6500 - ( 1650 + 300+ 1200+ 750 +400+ 500+ 1200)

= 6500- 6000

= R 500

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How do you redefine a removable discontinuity to make it continuous?

Answers

Although certain functions have discontinuities, it is feasible to redefine the function so that it becomes continuous at that point.

A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous.

We only need to change the function's value at this point to make f(x) continuous at x=0. To satisfy the concept of continuous functions and resolve the example issue, make the necessary adjustment to make the one-sided limits equal. We therefore set f(0)=4 f(0) = 4

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Enter your math expression. x2 − 2x + 1 = 3x − 5.

Answers

x² − 2x + 1 = 3x − 5, its x value = 3, 2. This can be solved by factorization.

What is an expression?

A word may consist of a number, a variable, the product of two or more variables, or the combination of a number and a variable. Both a single term and a collection of terms can be used to create an algebraic expression. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and one or more mathematical terms. Educate yourself about expressive writing. Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.

x² − 2x + 1 = 3x − 5

or, x² - 2x - 3x + 1 + 5 = 0

or, x² - 5x + 6 = 0

or, x² -3x - 2x + 6 = 0

or, x (x - 3) - 2 (x - 3) = 0

or, (x - 3) (x - 2) = 0

or, x = 3, 2

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Please help me - 15 points

The percentage of battery remaining, y, on a tablet's battery after x hours can be represented by the given graph.

coordinate grid with the x axis labeled time in hours and the y axis labeled percent of battery remaining, with a line that passes through the points 0 comma 80 and 8 comma 0

What is the meaning of the y-intercept in the context of the problem?

The tablet will not have any battery remaining after 8 hours.
The tablet loses 8 percent of battery every hour.
After 80 hours, the tablet will have 0 percent of battery left.
The tablet starts with 80 percent of battery remaining.

Answers

The y-intercept in the context of the problem means that the tablet starts with 80 percent of the battery remaining.

Option D is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph are:

(0, 80) and (8, 0).

Now,

(0, 80) is the y-intercept.

It means that at 0 hours, the percentage of battery is 80%.

Now,

(8, 0) is the x-intercept.

It means that after 8 hours, the percentage of battery is 0.

Thus,

The y-intercept means,

The tablet starts with 80 percent of the battery remaining.

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What is the value of x?

Answers

Answer:

x=64 degrees

Step-by-step explanation:

because triangle IHG is isosceles, angle HIG is 58 degrees. the sum of angles in a triangle is 180 degrees, and 180-58-58=64

Answer:

x= 64

Step-by-step explanation:

180-58-58=64

how many milligrams (mg) is this in 171 kg.

Answers

The conversion of the weight 171 kg to milligrams is 171000000 milligrams.

How to convert from one units to another?

The question want us to convert the weight from kilograms to milligrams. The actual weight of the substance is 171 kilograms.

Therefore, the conversion to milligrams can be calculated as follows:

1 kilograms = 1000000 milligrams

171 kilograms = ?

cross multiply

weight in milligrams = 1000000 × 171

weight in milligrams = 171000000 milligrams

Therefore, the weight is 171000000 milligrams.

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given the balanced equation 2pbo (s) o2 (g) ⇌ 2pbo2 (s), calculate the value of δngas.

Answers

This equation is balanced, meaning that there is an equal number of atoms on both sides of the equation.

Since there are no gases on either side of the equation, the value of δngas (the change in the number of moles of gas) is 0.

The balanced equation 2pbo (s) o2 (g) ⇌ 2pbo2 (s) states that two moles of lead (II) borate (s) react with one mole of oxygen gas (g) to form two moles of lead (II) borate (s). Since the reaction does not involve any gases, the value of δngas (the change in the number of moles of gas) is 0.

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Due tonight I need major help.

Answers

A conclusion which the diagram support include the following: A. UV/VW = ZY/YX.

The value of x is equal to: D. 15.

The value of x is equal to 4.

What is the basic proportionality theorem?

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Since side TU is parallel to side QR, side TU will divide both sides QS and RS proportionally in accordance with the triangle proportionality theorem as follows;

Since line segment UW is parallel to line segment ZX, side UW will divide both sides ZY and YX proportionally in accordance with the basic proportionality theorem as follows;

UV/VW = ZY/YX

For triangle JKL, we would apply the basic proportionality theorem as follows:

(x - 6)/3 = x/5

5x - 30 = 3x

5x - 3x = 30

2x = 30

x = 30/2

x = 15.

For triangle ABD, we would apply the basic proportionality theorem as follows:

12/x = 27/(x + 5)

12x + 60 = 27x

27x - 12x = 60

15x = 60

x = 60/15

x = 4.

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(4)I'm stuck pls help me with my algebra work show all ur steps
y=4x+9
y=x+30

Answers

Value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are y=4x+9 and y=x+30

Let us subtract both the equations

y-y=4x+9-x-30

0=3x-21

Add 21 on both sides

21=3x

Divide both sides by 3

x=7

Now let us plug in value of x in any of the equation to get y.

y=4(7)+9

=28+9

y=37

Hence, value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

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This truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, what is mE?

Answers

IfIf this truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, mE is 60 °.

How to find angle mE.

ΔABC = ΔDEF

M∠E = M∠B

M∠B =60°

By equation 1 and 2

M∠B =60°

Since triangle ABC is congruent to triangle DEF, the corresponding angles are equal

so,

mB = mE

Hence, mE = 60 degrees

Therefore mE is 60 degree.

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Please help me with this math problem

Answers

The sample space when 3 coins are tossed is given as follows:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

The outcomes in which the first coin is tails is given as follows:

THH, THT, TTH, TTT.

What is a sample space?

A sample space is a set that contains all possible outcomes in the context of an experiment.

In this problem, we have three trials, each with two possible outcomes, hence the cardinality of the sample space is obtained as follows:

2³ = 8.

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-13 -9 -12 -16 20 10 put them in least to greatest

Answers

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

If the dot indicates the center of the circle, which equation must be true?

Answers

If the dot indicates the center of the circle, the equation that must be true is (c) A + B = 180

How to determine the true equation

From the question, we have the following parameters that can be used in our computation:

The circle

The angle in a semi-circle is 90 degrees

This means that

A = 90 and B = 90

When these angles are added, we have

A + B = 90 + 90

Evaluate

A + B = 180

Hence, the equation is (c) A + B = 180

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please help i need it

Answers

The missing value in the table is 12.

How to complete the table?

We assume that there is a proportional relation between the two variables, which can be written as:

y = k*x

Where k is a constant.

The first pair is:

x = 2

y =3

Replacing that we get:

3 = k*2

3/2 = k

(you will get the same value of k if you use any one of the pairs on the table).

Now to complete the table we need to evaluate in x = 8.

y = (3/2)*8

y = 3*4

y = 12

That is the missing value.

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The missing value in the table of values is 12.

How to complete the table of values

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we can see that

The relationship between x and y is:

The product of 1.5 and x gives y

Mathematically, this can be represented as

y = 1.5x

When the value of x is 8, we have

y = 1/5 * 8

Evaluate the product

y = 12

Hence, the missing value is 12

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what is the value of x in the following figure?

A: 128 degrees

B: 142 degrees

D: 52 degrees

C: 38 degrees

Show work

Answers

Answer: 128

Step-by-step explanation:

Good evening. A straight line forms a 180° angle, so if you split it up, everything is supposed to add up to 180.

[tex]180-52=128[/tex]

Hope this explanation helped.

The answer is A: 128 degrees



hope this helps :)

coordinates of the center and the measure of the diameter for a circle whose equation is (x+4)2 + (y+5)2 = 64

Answers

The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

Now, We know that;

The standard form of circle with center (h, k) and radius r is,

⇒ (x - h)² + (y - k)² = r²

Here, The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

⇒ (x - (- 4))² + (y -  (-5))² = 8²

So, By comparing, we get;

The center of circle (h, k) = (- 4, - 5)

And, Radius of circle (r) = 8

Thus, The diameter of circle = 2 × 8 = 16

Therefore, The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

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14a. Can you tell from this tree whether a C at position 15 evolved before or after a T at position 15?
14b. Explain your answer.

Answers

The evolutionary tree is not observed here but it is possible to answer this question by observing which nucleotide is found in the root of the node. It indicates the first substitution.

What is an evolutionary tree?

A phylogenetic evolutionary tree is a diagram used to show the evolution of a given taxonomic group (for example, a group of species).

It is possible to trace the evolution of a given taxon by tracing the nucleotide substitution observed from a common ancestor.

In an evolutionary tree, the root of the node is represented by the common ancestor and therefore the presence of a particular nucleotide (either T or C) in that position can be considered as the ancestral character.

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plplplpllplplpl help asasp

Answers

The number of different rectangles with an area of 5 sq cm is 2

How to determine the number of rectangles

From the question, we have the following parameters that can be used in our computation:

Area = 5 sq cm

The length of each square box is given as

Length = 1 cm

Assume the box cannot be divided

Then the number of rectangles to draw is 2

This is so because the height of the grid is 5 cm and it cannot take more than 5 cm

Also, because the square boxes cannot represent fractions

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how do you find the solution of an initial value problem?

Answers

To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

What is the initial value problem?

In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

This can be done using various numerical and analytical methods, such as:

Separation of variables

Euler's method

Runge-Kutta methods

Laplace transforms

Series solutions

Qualitative analysis

The method used depends on the form of the differential equation, the required accuracy, and the computational resources available.

Hence, To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

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There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.


Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11


Compare the theoretical probability and experimental probability of pulling a gold marble from the bag.
The theoretical probability, P(gold), is 25%, and the experimental probability is 27.5%.
The theoretical probability, P(gold), is 50%, and the experimental probability is 11.5%.
The theoretical probability, P(gold), is 25%, and the experimental probability is 25%.
The theoretical probability, P(gold), is 50%, and the experimental probability is 13.0%.

Answers

Answer: A

Step-by-step explanation:

there are 4 colours all with 1/4 of the marbles in the bag there colour

so the theoretical probability is 25% but slightly more than a quarter came out so experimental cant be 50 or 25 but 25.7%

The turtle’s distance from the starting point is increasing for seconds.


Between 10 and 12 seconds, the turtle’s distance is.


Between 12 and 14 seconds, the turtle is

Answers

The turtle’s distance from the starting point is increasing for 18 seconds, and the distance between 10 and 12 seconds, the turtle, is -10cm, and the distance between 12 and 14 seconds, the turtle, is 0 cm.

The turtle’s distance from the starting point is 16+(20-16)*1/2=16+2=18sec.

To calculate the distance between 10 and 12 seconds, the turtle is as per the graph shown below we can consider the turtle is in 12:30 cm and 10:30 cm so 30-40=-10cm

To calculate the distance between 12 and 14 seconds, the turtle is as per the graph shown below we can consider the turtle is in 14:30 cm and 12:30 cm so 30-30=0cm

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Answer:The turtle’s distance from the starting point is increasing for

✔ 10

seconds.

Between 10 and 12 seconds, the turtle’s distance is

✔ decreasing

.

Between 12 and 14 seconds, the turtle is

✔ standing still

.

Step-by-step explanation:

Suppose ∠A and ∠B have the same measurement. Which statements are expressed correctly?
I. ∠A = ∠B
II. m∠A = m∠B
III. m∠A ≅ m∠B
IV. ∠A ≅ ∠B
a) II, III, and IV only
b) II and IV only
c) I, II, and IV only
d) I and IV only
e) II and III only
f) None of the above

Answers

If angle A and angle B have the same measurement then m∠A = m∠B and ∠A ≅ ∠B. So, the correct option is B: II and IV only.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

It is given that ∠A and ∠B have the same measurement.

This represents that ∠A and ∠B must be equal and congruent also.

This can be written in expression form as -

∠A ≅ ∠B

For example if ∠A = 90° then ∠B = 90°.

This can be written in expression form as -

m∠A = m∠B

The measure of angle A is equal to measure of angle B.

Therefore, option II and option IV are correct.

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For positive acute angles A and B, it is known that sin A = 4/5 and tan B = 45/28
Find the value of sin(A + B) in simplest form. Please HELP

Answers

Answer:

Step-by-step explanation:

.

For positive acute angles A and B, it is known that sin A= 4/5 and tan B= 45/28 . Find the value of IIT A+B in simplest form. Question. user avatar image ...

the solution of sin(A + B) in simplest form is 27/35.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We use the trigonometric identity as;

sin(A + B) = sin A cos B + cos A sin B

Hence, we need to find cos A and cos B.

Here, We know that;

⇒ sin A = 4/5,

By use the Pythagorean identity;

sin²A + cos² A = 1

sin² A + cos² A = 1

(4/5)² + cos² A = 1

16/25 + cos² A = 1

cos² A = 9/25

cos A = 3/5

And, we can use the identity;

tan B = sin B / cos B

to find sin B:

tan B = sin B / cos B

45/28 = sin B / √(1 - sin² B)

(45/28)² = sin² B / (1 - sin² B)

sin² B + (45/28)² sin² B = (45/28)²

sin² B (1 + (45/28)²) = (45/28)²

⇒ sin B = 3/7

Now that we have sin A, cos A, sin B, and cos B,

We can put them into the formula for sin(A + B):

sin(A + B) = sin A cos B + cos A sin B

sin(A + B) = (4/5)(45/28) + (3/5)(3/7)

sin(A + B) = 27/35

Therefore, the solution of sin(A + B) in simplest form is 27/35.

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