If the similar sides and angles of two triangles are proportionate, then the triangles are similar.
We must assess if two triangles have the same shape but perhaps different sizes in order to determine their similarity. The triangles are similar if their corresponding sides are proportionate. The triangles are not comparable if they are not proportionate. We only need to determine whether two triangles' respective sides are proportionate if we are given two triangles and are aware that their corresponding angles are congruent.
In conclusion, in order to establish whether two triangles are comparable, we must look at both the proportionality of the respective sides and the congruency of the corresponding angles. The triangles are similar if both requirements are satisfied, and we can create a similarity assertion by using the matching triangle vertices.
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Which of the following services will be provided by a full-service broker but not by a discount broker?
I. Research of potential investment opportunities
II. Purchase and sale of stock at your request
III. Recommendation of investments
a.
I and III
b.
II only
c.
III only
d.
I, II, and III
Please select the best answer from the choices provided
A
B
C
D
Option A i.e. the first and the third service will be provided by a full-service broker but not by a discount broker.
What is meant by a broker?
An impartial party whose services are often used in several businesses is a broker. The main duty of a broker is to connect buyers and sellers; as a result, the broker acts as a neutral intermediary between a buyer and a seller.
The services which will be provided by a full-service broker but not by a discount broker are
Option I. Research of potential investment opportunities
Option III. Recommendation of investments
For any form of investment, research and recommendations are key and important components. Before you make any investments, you should conduct adequate research.
Hence, option A i.e. the first and the third service will be provided by a full-service broker but not by a discount broker.
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Determine if the two are equivalent.choose 3 different values for x and complete the table.Explain your reasoning.X
2(x + 5) + 3x
5x + 10
Answer:
The expressions are identical, as shown by two methods: 1) equation rearrangement and 2) mathematical calculations.
Step-by-step explanation:
2(x + 5) + 3x
Let's simplify this expression.
2(x + 5) + 3x
2x + 10 + 3x [remove parentheses]
5x + 10 [combine like terms]
This matches the other expression.
5x + 10
Several values of x are calculated for both expressions and are shown on the attached table. Each expression results in the same value for a given value of x. This comparison also holds for negative numbers.
Gina's goal is to raise $160 for the school through her ticket sales. if she is selling the tickets for $3 each, what is the minimum number of tickets Gina needs to sell in order to earn $160?
Answer: All she needs to sell is 53 tickets
Step-by-step explanation: You divide 160 by 3 which gives you 53.3333 so you take the decimal place and get rid of it and it gives you 53. So she needs to sell at least 53 tickets to reach her goal
What point lies on the line with a slope of m=2/3 that passes through the point (-3,-2)?
PLEASE SHOW WORK
Answer: y = 2/3x
Step-by-step explanation:
This is pretty easy too
the equation for a line is: y = mx + b, where m is the slope and b is the y intercept
y = 2/3x + b, where we need to find b
substituting the point we are given:
-2 = 2/3(-3) + b
-2 = -2 + b
0 = b
so our line is simply:
y = 2/3x
1) A function f(x), which contained the point (5,4) was transformed with the rule 2f (x-3) + 4. What would
be the new coordinates of that point?
(2,-2)
The solution is, point (5,4) will correspond to (5,8).
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
1) To find that the corresponding points, let'-s plug it into that formula:
(5,4)
If we plug 5 and we have output the number 4,
then f(x) is y=x-1
now,
2f(x-3)+4 is the function f(x) with a horizontal shift of 3 units to right, a vertical stretch 4, a reflection.
2) y=2(5-3)+4 then y=2(2)+4
y=8
So point (5,4) will correspond to (5,8)
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In order to keep the numbers in the proper place-value column
The order of the place value in increasing order is equal to units , tens , hundreds , thousands , ten-thousand and so on.
The value of every digit present in any number depends on the position of the digit in a number.The place of the digit in the number represents its place value of the digit in a number.Starting position of a digit is ones or units.After unit the place value is tens.In ascending order the place value of all the digit in any given number is represented as units , tens , hundreds , thousands , ten- thousands, so on.Therefore, the order of the place value in ascending order of the place of the digit is given by units , tens , hundreds , thousands , ten-thousand and so on.
The given question is incomplete, I answer the question in general according to my knowledge:
What is the order of the place value ?
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What is the length of each leg of a 45-45-90 triangle if the hypotenuse has a length of 4√2?
Answer:
The length of each leg would be 4 units
Step-by-step explanation:
The hypotenuse of a 45-45-90 is √2 times bigger than either side length since they're the same lengths.
There are 150 employees in a factory.（2/3）of the employees are males. Then, 20 male employees and 10 female employees are resigned. A employee is chosen at random from the remaining employees. Find the probability of choosing a female employee.
===================================================
Explanation:
2/3 of 150 = (2/3)*150 = 100 employees are male and 150-100 = 50 employees are female. This is before the resignations.
After the resignations happen, we would have:
100-20 = 80 males remain50-10 = 40 females remain80+40 = 120 employees remain.The chances of picking a female employee at random would be 40/120 = 1/3 which is the final answer.
Notice how the chances haven't changed from earlier (male = 2/3 chance, so 1-2/3 = 1/3 are the chances of picking a woman). Why is this? Well notice the ratio of 20 men to 10 women resigning. This ratio is 2:1, meaning twice as many men resigned. Furthermore, notice how 2/3 is twice that of 1/3.
This keeps the same proportion of men to women. Therefore, the odds haven't changed.
I WILL GIVE BRAINLY
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $1,500
2 $1,350
4 $1,200
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 5 days? (2 points)
Answer:
Part A: Slope (m) = -75
Part B:
Point-slope form --- y - 1350 = -75(x - 2)
Slope-intercept form --- y = -75x + 1500
Standard form --- 75x + 1y = 1500
Part C: g(x) = -75x + 1500 (Just replace 'y' in y = mx + b with 'g(x)').
Part D: The balance in the bank account after 5 days equals $1,125.
Step-by-step explanation:
(Pertaining to Part D --- Plugging in variables):
To find the answer to Part D, we must first take the function notation equation from Part C and plug in the appropriate variables needed to find the balance in the bank account after 5 days. So, we plug in '5' for g(x), which would give us g(5). For the other x found in the equation, we also correspondingly replace it with '5'. Our equation now appears as g(5) = -75(5) + 1500.
Finally, we must solve this equation using the order of operations, which simplifies our equation to g(5) = -375 + 1500. We can simplify this further by adding 1500 to -375, giving us the final answer for Part D of $1,125 being the balance in the bank account after 5 days.
Hope that helps!!
Answer:
Part A: Slope (m) = -75
Part B:
Point-slope form --- y - 1350 = -75(x - 2)
Slope-intercept form --- y = -75x + 1500
Standard form --- 75x + 1y = 1500
Part C: g(x) = -75x + 1500 (Just replace 'y' in y = mx + b with 'g(x)').
Part D: The balance in the bank account after 5 days equals $1,125.
An account earns simple annual interest. $600 at 5% for 2 years
The total amount of interest earned at the end of 2 years is $60.
1. Calculate the interest earned in one year:
Interest = Principal × Rate × Time
Interest = 600 × 0.05 × 1
Interest = $30
2. Multiply the interest earned in one year by the number of years:
Total interest = 30 × 2
Total interest = $60
The total amount of interest earned at the end of 2 years is $60. This amount was earned by taking the principal amount of $600 and multiplying it by the rate of 5%, and then multiplying that product by the number of years, which in this case is 2. This calculation can be expressed as:
Total interest = Principal × Rate × Time
Total interest = 600 × 0.05 × 2
Total interest = $60
the complete question is :
An account earns simple annual interest. $600 at 5% for 2 years. How much interest will be earned on $600 invested at 5% simple annual interest for 2 years?
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Let y represent the total cost of publishing a book (in dollars). Let x represent the number of the copies of the book printed. Suppose that x and y are related by the equation 15x+1100=y
a) What is the change in total cost for each book printed?
b) What is the cost to get started (Before any books are printed)?
a) The change in total cost for each book printed is $15.
b) The cost to get started (Before any books are printed) is $110
Overall, understanding the relationship between the number of copies printed and the total cost of publishing a book can help publishers and authors make important financial decisions.
a) The change in total cost for each book printed is represented by the slope of the equation.
In this case, the equation is in slope-intercept form
=> y = mx + b, where m is the slope and b is the y-intercept.
The slope of the equation 15x+1100=y is 15.
This means that for every additional book printed (x), the total cost (y) will increase by $15.
So, the change in total cost for each book printed is $15.
b) The cost to get started, before any books are printed, is represented by the y-intercept of the equation. In this case, the y-intercept is 1100.
This means that the cost to get started, before any books are printed, is $1100.
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SOMEONE HELLPPPP IM SCAREDDDDD
Answer: AE
Step-by-step explanation:
if you look at the picture you can tell that Ae is a ray because rates tend to have 2 points and 2 sides one going on forever. that's why there's an arrow near "a"
A container of laundry detergent holds 100 fluid ounces. You use 9 fluid ounces each week. The table shows the amount of laundry detergent that remains after a certain number of weeks. Complete the table Number of Weeks Fluid Ounces Remaining in the Container
The number of fluids remaining after x weeks is given by the following equation:
y = 100 - 9x.
Hence the number of fluids remaining after week x is found replacing x by the week at the above equation.
How to define the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.For this problem, the parameters are given as follows:
b = 100, which is the capacity of the container.m = -9, as each week, the number of fluid ounces in the container is decreased by 9.Hence the function is given as follows:
y = 100 - 9x.
Missing InformationThe problem is incomplete, hence the function used to obtain the amounts is presented.
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An observer in watertown, new york, would see the star polaris at an altitude of approximately. ?
44°
45°
75°
76°
Answer:
44
Step-by-step explanation:
4)
Slope:
2
y
(0, 1)
1
Y-Intercept:
Equa
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
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A rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. Tyee wants to rent a car, knowing that:
Answer:
74.90d + 0.13m = Total cost of the car rental
Step-by-step explanation:
Hmmm you didn't give enough information but....
let d represent the number of days
let m represent the number of miles driven
74.90d + 0.13m = Total cost of the car rental
For example Tyee rents the car for 2 days and drives 100 miles
149.8 + 13 = Total cost of the car rental.
$162.8 is the Total cost of the car rental.
One hundred people were asked about their favorite sport.
The statement that best describes the two - way frequency table is b. More females like soccer.
How to find the correct statement ?The number of females who like soccer are 31 females out of a total of fifty females who were interviewed.
This means that the number of females who like basketball are :
= 50 - 31 females for soccer
= 19 females
31 females like soccer while 19 females like basketball which shows that more females prefer soccer to basketball.
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In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that? Click the icon to view the histogram of shoe sizes. a) The distribution is roughly symmetric and bimodal. b) Choose the correct answer below.
a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.
The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.
a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".
b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.
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what is the surface area of a right cylinder with a radius of 6 units and a height of 14 units?
The surface area of a right cylinder with a radius of 6 units and a height of 14 units is equal to 753.6 square units.
How to calculate surface area of a cylinder?Mathematically, the surface area (SA) of a right cylinder can be calculated by using this formula:
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the surface area of a right cylinder formula, we have;
Surface area (SA) of cylinder = (2 × 3.14 × 6 × 14) + 2 × 3.14 × 6²
Surface area (SA) of cylinder = 527.52 + 226.08
Surface area (SA) of cylinder = 753.6 square units.
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Which kind of triangle is shown?
acute triangle
obtuse triangle
equilateral triangle
right triangle
The kind of triangle which is shown in the image is Obtuse triangle. The Option B is correct.
What is the features of Obtuse triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Characteristics of Obtuse Angled Triangle:
The sum of the two angles other than the obtuse angle is less than 90°.The side opposite the obtuse angle is the longest side of the triangle.An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.Read more about Triangle
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5.) DO THE MATH: In 1921, $1,500,000 in real estate and $750,000 in personal property
was lost. Add both numbers and subtract them rom $32, 250,000 from 2019. What is the
difference? (10 points)
The difference between 2019 and 1921 is given by $30,000,000
What is the difference?Difference refers to the subtraction of two or more values.
1921 loss:
Real estate= $1,500,000
Personal property = $750,000
Total loss = $1,500,000 + $750,000
= $2,250,000
2019:
$32, 250,000
The difference between 2019 and 1921
= $32, 250,000 - $2,250,000
= $30,000,000
Therefore, there is a difference of $30,000,000
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Select the correct answer.
What is the justification for step 3 in the solution process?
0.8a - 0.1a = a - 2.5
Step 1: 0.7a = a - 2.5
Step 2: -0.3a = -2.5
Step 3:
a =8.3
O A.
the addition property of equality
O B. the subtraction property of equality
О C.
combining like terms
O D. the division property of equality
Answer: D. the division property of equality
Step-by-step explanation:
In step three you will be dividing -2.5 divided by -0.3 to get a.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
The owner of two hotels is ordering towels. He bought 6 hand towels and 27 bath towels for his hotel in Campbell, spending a total of $255. He also ordered 50 hand towels and 27 bath towels for his hotel in Lowell, spending $343. How much does each towel cost?
A hand towel costs $ ----------, and a bath towel costs $ --------.
Answer:
A handtowel costs $2.00 and a bathtowel is $9.00
Step-by-step explanation:
Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.
In Campbell, they spent:
255 = 6h + 27b
In Lowell, they spent:
343 = 50h + 27b
Solve the system.
see image.
brad was hang gliding at a constant velocity. he moved 395 meters Southeast in 31.6 seconds. what was his velocity
Answer: To calculate Brad's velocity, we can use the formula:
velocity = distance / time
where:
distance = 395 meters (the distance traveled)
time = 31.6 seconds (the time it took to travel that distance)
Plugging in the values into the formula, we get:
velocity = 395 meters / 31.6 seconds
velocity = 12.5 meters per second
So Brad's velocity was 12.5 meters per second in a southeast direction.
Step-by-step explanation:
3) we have 2 engineers and 10 computer scientists. we need to create a committee of 10 people with at least one engineer represented there. how many different ways are there to create such a committee? show at least 2 different ways to solve this problem.
Answer:
Step-by-step explanation:
Method 1: Counting the number of committees with exactly one engineer:
There are 2 ways to choose the engineer, and 10 ways to choose the remaining 9 computer scientists. Hence, there are 2 * 10 = 20 different committees with exactly one engineer.
Method 2: Using the combinations formula:
There are 12 people in total, and we need to choose 10 of them for the committee. We can use the combinations formula to calculate the number of different ways to choose 10 people from 12: C(12, 10) = (12!) / (10! * (12-10)!) = (12!) / (10! * 2!) = 66.
So, there are 66 different ways to create a committee of 10 people with at least one engineer represented.
HELP!
Match the following.
1 .
alternate interior angles
outside angles
2 .
corresponding angles
two inside angles that lie on different sides of a transversal
3 .
interior angles
two outside angles that lie on different sides of a transversal
4 .
parallel lines
inside angles
5 .
alternate exterior angles
lines that intersect two or more lines to create angles
6 .
perpendicular lines
lines that intersect and create right angles
7 .
exterior angles
lines that share one point
8 .
intersecting lines
lines that never cross one another and are the same distance apart at all times
9 .
transversals
two angles in the same position on different lines
The answers include the following below:
alternate interior angles - two inside angles that lie on different sides of a transversal.alternate exterior angles - two outside angles that lie on different sides of a transversal.transversals - lines that intersect two or more lines to create angles.perpendicular lines - lines that intersect and create right angles.intersecting lines - lines that share one point.parallel lines - lines that never cross one another and are the same distance apart at all times.corresponding angles - two angles in the same position on different lines.interior angles - inside anglesexterior angles - outside angles.What is an Angle?This is referred to as the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Parallel lines refers to the type of lines that never cross one another and are the same distance apart at all times.
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a statistical method for identifying cost behavior is the:A. Scatter diagram methodB. High-low methodC. Composite methodD. CVP charting methodE. Least-squares regression method
The statistical method that is used for identifying the cost behavior is (e) Least Squares regression method .
The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .
This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.
The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.
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The given question is incomplete , the complete question is
A statistical method for identifying cost behavior is the:
(a) Scatter diagram method
(b) High low method
(c) Composite method
(d) CVP charting method
(e) Least Squares regression method
Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.
The equation of the line of the best fit for the data will be, y=2.07x-7.5.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The equation of the line is;
y=mx+c
y=2.07x-7.5
Hence, the equation of the line of the best fit will be, y=2.07x-7.5
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I get 64% off a table the sale price is $72, what is the original price?
The original price of the table was $200 before the 64% discount was applied.
What is the percentage?
Percentage is a way of expressing a fraction or proportion out of 100. It is commonly used to compare two quantities, indicate the change or growth of a quantity over time, or express the probability or chance of an event occurring.
If you received a 64% discount on the sale price of a table, and the sale price is $72, we can calculate the original price of the table as follows:
Determine the percentage of the original price that corresponds to the sale price after the discount:
If the sale price is 100% - 64% = 36% of the original price, after the 64% discount.
Use the percentage found in step 1 to calculate the original price:
Let x be the original price
x * 36% = $72
0.36x = $72
x = $72 / 0.36
x = $200
Therefore, the original price of the table was $200 before the 64% discount was applied.
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