Which angle measure is equivalent to 144°?

The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.

In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.

To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.

According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:

DE = BC/2

In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.

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To calculate the probability of getting two bad pieces in a row, we multiply the probabilities of each individual bad piece that is 0.96 and 0.04

0.04 * 0.04 = 0.0016

So the chances of getting two bad pieces are 0.0016, or 0.16%. This means that out of 100 tries, you would expect to get two bad pieces in a row 0.16 times.

It's vital to remember that independent events, like obtaining two terrible pieces, have probabilities that are determined by multiplying the individual possibilities.

This is based on the idea of the multiplication rule of probability, which states that the likelihood of two unrelated events occurring simultaneously is the sum of the probabilities of each event occurring separately.

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There are infinitely many possible solutions to a continuous linear function graph or equation.

A constant rate of change here in the coordinate plane describes a straight line. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be expressed as f(x) = 3x - 2 since y can be substituted with f(x).

An unlimited number of solutions exist for a linear function. Therefore, we may replace the domain with an endless amount of values.

A table lists all of the possible solutions.

All of the solutions are represented by an equation or graph.

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Answer:

(8x-7)<9

Use 1 to open the bracket

8x - 7 < 9

Add 7 to both sides

8x < 16

Divide both sides by 8

x < 2

As per unitary method, Maliyah's bus ticket to New Orleans will cost $101.76 after using a coupon code and paying the tax.

The Unitary Method is a problem-solving strategy that is used to break down complex problems into smaller, more manageable parts.

To determine the final cost of Maliyah's bus ticket to New Orleans, we will use the unitary method of problem solving. This method involves breaking down the problem into smaller parts and solving each part separately to find the final answer.

The first step is to find the discounted price of the ticket. To do this, we multiply the original price of $120 by the discount percentage of 20%.

$120 * 0.20 = $24

Next, we subtract this amount from the original price to get the discounted price.

$120 - $24 = $96

Next, we find the amount of tax charged on the discounted price by multiplying the discounted price by the tax rate of 6%.

$96 * 0.06 = $5.76

Finally, we add this amount to the discounted price to get the final cost of the ticket.

$96 + $5.76 = $101.76

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Answer: 7 √7

Step-by-step explanation: If you find the greatest common factor of 343, you get 49 and 7 and 49 breaks down to 7 and 7. you now have 3 7's. You now group two of those sevens and bring it out of the radical, leaving one 7 under the radical. This gives you 7 √7.

Answer:

428km

Step-by-step explanation:

21 L=290km

1 L=290/21

31 L=290/21×31=428km (to 3 s.f.)

There are the four possible combinations of day and movie genre that Marty can choose from.

Marty has two options for the day of the week to go to the movie (Friday or Saturday) and two options for the movie genre (Comedy or Action).

Therefore, the list of all possible outcomes of one movie on one day is:

These are the four possible combinations of day and movie genre that Marty can choose from.

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By transitive property, proved RQ is parallel to SU.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that,

RS║VT

∠6≅∠3

To prove: RQ║SU

RS║VT (Given)

∠6≅∠3 (Given)

∠5≅∠3 (Alternate interior angles between the parallels RS and VT)

Now, ∠6≅∠5 (Transitive property)

Since, ∠6 is congruent to ∠5, then they are alternate angles between RQ and SU.

Then, RQ║SU

Hence, proved RQ is parallel to SU.

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Answer: -3/5

Step-by-step explanation:Where is says f(3/5), plug the value of 3/5 wherever you see x. In this case it would be after the negative 5 and positive 2. Solve the rest using basic addition,subtraction, and multiplication rules. The answer should turn out to be -3/5/

2 a) The letter A represents the value 0/3 on the number line.

2 b) The letter B represents the value 1/3 on the number line.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

The number line is given.

The letter A represents the value of 0.

Find the value of 0/3.

Zero divided by anything yields the value 0.

Therefore, the value 0/3 is represented by letter A = 0.

Find the value of 1/3.

The decimal notation of fraction 1/3 is 0.33.

The value of 1/2 is 0.5.

This number should lie between 0 and 0.5.

Therefore, the value 1/3 is represented by letter B.

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2a) Which letter represents the better 0/3?

2b) Which letter represents the better 1/3?

The graph of dP/dt against P is a parabola, with the equation of the form [tex]y = ax^2 - bx[/tex] where a and b are positive parameters.

The graph has a vertex at [tex](b/2a, -b^2/4a)[/tex].

When P is less than b/2a, dP/dt will be positive, meaning the population is increasing. As P increases, dP/dt will reach a maximum at (b/2a, -b^2/4a) and then decrease, meaning the population is decreasing. When P is greater than [tex]b/2a, dP/dt[/tex] will be negative.

For example, if a = 4 and b = 1, the graph of dP/dt against P is [tex]y = 4x^2 - x[/tex], with the vertex at (0.5, -0.125). When P is less than 0.5, dP/dt will be positive, and when P is greater than 0.5, dP/dt will be negative.

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The difference between qualitative forecasting techniques and quantitative forecasting techniques is:

Quantitative projections frequently rely on historical information, like past sales and income numbers, production and financial reports, and website visitor statistics. You may use seasonal sales data, for instance, to estimate the production and labour requirements for the upcoming year based on the monthly or quarterly results from the previous year. Additionally, statistical modelling, trend analysis, or other information from authoritative sources like governmental organisations, professional groups, and academic institutions are used in quantitative forecasting.

Techniques for qualitative forecasting are derived from the knowledge and intuition of seasoned business professionals. These forecasting methods involve data interpretation together with the expert knowledge you've gained through years of work experience, so they go beyond simple guesswork. For instance, if you require qualitative data to predict sales for the year, you may calculate the influence of a new advertising campaign or promotion your business is preparing, consider the implications of emerging technology for customer behaviour, and consider current social fads and trends.

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The values x = -1 and x = 7 are the real solutions of the given graph.

A cubic formula incorporating the nth roots, the four fundamental operations of arithmetic, and the four coefficients (radicals).

The required real roots for the function f(x) = 0 are the points where the given curve intersects the x-axis on the graph.

From the given graph, we can see that the real solution of the given graph are x = -1 and x = 7.

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the correct choice is tilted to the right.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

The given statement is "The salary of everyone employed by a large university."

The distribution is skewed to the right because the starting pay for all employees at a large university is modest and there may be select positions with significant payouts.

Therefore, the correct choice is tilted to the right.

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The person that is farther from the cafeteria would be Valerie.

To determine which student is farther from the cafeteria, we need to calculate the distance each student has traveled from the cafeteria.

For Russell, his total displacement can be calculated using vector addition:

10 yards (due West) + 5 yards (South of West) = 10.87 yards at an angle of 305° from due West.

For Valerie, her total displacement can be calculated using vector addition:

10 yards (due East) + 5 yards (North of East) = 12.5 yards at an angle of 75° from due East.

Since the magnitude of the vector representing Valerie's displacement is larger, she is farther from the cafeteria.

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Answer:

14x + 36 = 15

Step-by-step explanation:

To remove the fractions, multiply the entire equation by the LCM of 9 and 6.

LCM of 9 and 6 = 18

Multiply the entire equation by 18,

    [tex]18*\dfrac{7}{9}x+*18*2=18*\dfrac{5}{6}[/tex]

           2*7x + 36 = 3 *5

              14x + 36 = 15

Let's consider what the question asks for:

--> equation without fractions:

To get rid of fractions, we must multiply a common multiple of 9 and 6 to get rid of the bottom denominator:

 --> common multiple of 9 and 6: 54

Let's multiple:

  [tex]\dfrac{7}{9}x+2=\dfrac{5}{6} \\\\54*(\dfrac{7}{9}x+2} )=54*\dfrac{5}{6} \\\\6*7x+108=9*5\\\\42x+108=45[/tex]

Answer: 42x + 108 = 45

As per unitary method, Jake painted 6 more birdhouses red than yellow.

The Unitary Method is a strategy used to simplify mathematical calculations. The idea is to make the calculation easier by breaking down the numbers into smaller parts and then recombining them to find the final answer.

In this problem, we want to find out how many more birdhouses Jake painted red than yellow. To do this, we'll use the Unitary Method to subtract 7 from 13.

Starting with the larger number, we'll break down 13 into 10 and 3. We can then subtract 7 from 10 and find that there is a difference of 3.

This means that we have 3 left over from the larger number, which we can add to the smaller number (3) to find the final answer.

Therefore, the final answer is 3 + 3 = 6.

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You posted way too many questions. The rule is one question at a time.

I'll answer question 14 to get you started.

We are told that

The values -1 and 1 don't really matter. All we care about is the sign change from negative to positive or vice versa. This sign change tells us that f(x) must be zero at least once in the interval [4, 6]. Refer to the intermediate value theorem for more information. Therefore, we have at least one root in the interval [4, 6].

Visually you can think of it like being in United States (below the x axis; negative territory) and then moving to Canada (above the x axis; positive territory). Since f(x) is a continuous function, the curve must cross the border at least once. The border represents the x axis. The term "root" is another way of saying "x intercept".

The previous paragraphs all help point to the fact that statement I is valid. Unfortunately, we don't have enough information to determine if statement II is valid or not. The function f(x) may have an absolute max on this interval, or it may not. We would need info about its derivative.

----------------

Answer to problem 14 is "I only" which is choice B.

When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to cyclohexane bridge.

A "cyclohexane bridge," where the two six-membered rings are connected by two carbon atoms, which act as a bridge between them. The conformation of this bridge can vary, and it is often depicted as a zigzag line in organic chemistry diagrams.

The exact conformation of the bridge and the two chair conformations of the rings will depend on the specific molecule being discussed.

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-- The given question is incomplete, the complete question is

"When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to _______" --

There are 180 grams of cocoa in the resulting mixture.

When the 200 grams of dark chocolate and the 200 grams of milk chocolate are mixed together, the amount of cocoa in the mixture is found by adding the amount of cocoa in each type of chocolate.

First, the amount of cocoa in the dark chocolate is calculated by multiplying the total weight of the dark chocolate by its cocoa percentage:

200 grams(0.60) = 120 grams

Next, the amount of cocoa in the milk chocolate is calculated in the same manner:

200 grams(0.30) = 60 grams

Finally, the total amount of cocoa in the mixture is found by adding the amount of cocoa in each type of chocolate:

120 grams + 60 grams = 180 grams

Therefore, the total amount of cocoa in the resulting mixture is 180 grams.

The problem seems incomplete, it must have been...

"Luke melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa. How many grams of cocoa are in the resulting mixture?"

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If 8 people can mow the lawn in 6 hours, then the rate at which a single person mows the lawn is 1/6 of the total area. When 3 people take the day off, the number of people mowing the lawn becomes 8 - 3 = 5.

Therefore, the rate at which the 5 remaining people mow the lawn is 5 * 1/6 = 5/6 of the total area.

The time it takes to mow the lawn is inversely proportional to the rate at which the people mow the lawn.

So, to find the time it takes to mow the lawn with 5 people, we can divide the original time of 6 hours by the new rate of 5/6:

6 hours / (5/6)

= 6 * (6/5) hours

= 7.2 hours

So, it will take 7.2 hours to mow the lawn with 5 people.

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Answer:

23/100

Step-by-step explanation:

Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.

Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.

These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).

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A measure of central tendency is a single data that represents the center spot of a dataset. This data can also be known as “the central location” of a dataset.

In statistics, there are mainly three common measures of central tendency:

1. The mean is: (41 + 44 + 99 + 46 + 39 + 47 + 38 + 46) / 8 = 46

2. The median is:

38, 39, 41, 44, 46, 46, 47, 99

Middle values: 44 and 46

Average of middle values: (44 + 46) / 2 = 45

The median of this data set is 45.

3.  In this case, the mode is 46, as it appears twice in the data set.

All of these measures find the central location of a dataset using various methods. Depending on the type of data you are analyzing, one of these three measures may be better to use than the other two.

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The relation that represents a function is the last one:

x: 1, 2, 3, 4

y: 1, 1, 1, 1,

A function is a relation where each one of the inputs is mapped into a single one output.

For example the first option has the input x = 1 mapped into 3 different outputs, then it is not a function.

The only one that is a function is the last one:

x: 1, 2, 3, 4

y: 1, 1, 1, 1,

Where none of the inputs appears more than one time.

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The percentage of her income is 17.9%

Percentage can be calculated by using the following rule:

Percentage = (fraction/total) x 100

Now, for this problem, the fraction of money used for expenses is 275$ while the total amount is 1536$

Substitute with these values in the above equation:

percentage = (275/1536) x 100 = 17.9%

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Correct question:

Juliet's budgets $275 each month for fixed expenses. What percent of her income is that amount if she nets $1536 each month?

Answer:

960,000

Step-by-step explanation:

Every year, the number of blogs doubled.

The first year:60,000

The Second year: 120,000

The third year: 240,000

The fourth year: 480,000

The fifth year: 960,000

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The tallest that his daughter can be is 35inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

Mr. Wilson's height is at least 6 inches more than twice his daughter's height.

He is 76 inches tall.

Now, let the height of daughter be x

So, 2x+6=76

x+3=38

x=35

Therefore, by the equation the height of daughter will be 35inches.

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