What is m∠B?

There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.

The given proof follows the symmetric property of angle congruence. Therefore, option C is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that,

       Statements            Reasons

1. ∠ABC≅∠DEF           1. Given

2. m∠ABC=m∠DEF     2. Definition of congruent angles

3. m∠DEF=m∠ABC     3. Symmetric property of equality

4. ∠DEF≅∠ABC          4. Definition of congruent angles

The symmetric property says that if one geometric shape is congruent to another, than the second shape is also congruent to the first. The symmetric property of congruence says that for any angles A and B, if ∠A≅∠B then ∠B≅∠A.

Therefore, option C is the correct answer.

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Answer:

1099

Step-by-step explanation:

350*pi=1099

At 12 noon the count in a bacteria culture was 400, at 3:00 pm the count was 1200. The bacteria count at 9 am, rounded off to the nearest bacterium, was 255.

The problem involves finding the bacteria count at 9 am, given the counts at 12 noon and 3 pm, and assuming that the bacteria culture obeys the population growth law.

To solve the problem, we use the population growth law, which states that the rate of growth of a population is proportional to the size of the population at any given time. This can be expressed as a differential equation, and its solution gives the population as a function of time.

Assuming the bacteria culture grows exponentially between 9 am and 3 pm, we can use the population growth law to find the bacteria count at 9 am. Let the initial count at 9 am be denoted by P, and let the growth rate be denoted by r.

Then we have:

P * (1 + r)^3 = 1200

Solving for P, we get:

P = 1200 / (1 + r)^3

Similarly, assuming the bacteria culture grows exponentially between 12 noon and 3 pm, we have:

400 * (1 + r)^3 = 1200

Solving for r, we get:

r = (1200/400)^(1/3) - 1

Plugging this value of r into the equation for P, we get:

P = 1200 / (1 + (1200/400)^(1/3) - 1)^3

Using a calculator, we get:

P ≈ 255

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5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.

Let say, total number of apples = y

Then, y = (30+x)×(400–10x)

For, optimum number of trees, let's do the differentiation of the above equation with respect to x.

d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)

= 400–10x-300–10x

= 100–20x …………..(1)

For mimima or maxima, the above equation must be equal to 0.

So, 0 = 100–20x

=> x=5

Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5

[tex]d^2(y)/d(x^2) = -20[/tex]

The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.

So, the number of trees for maximum apple will be (30+x)

So, 30+5 = 35 trees per acre will give the largest crop of apple.

Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

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An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position.

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The common difference is the value that is added to each term in the sequence to obtain the next term. Given these two values, the calculator can generate the entire sequence of terms. Some calculators may also be able to find the first term and common difference from a given set of terms, as well as other properties of an arithmetic sequence, such as the sum of the terms, the nth term, etc. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position. In other words, it is the term that corresponds to the number n in the sequence. The nth term can be calculated using the formula for the nth term of an arithmetic sequence, which is given by: a_n = a_1 + (n-1)d. where a_1 is the first term of the sequence, d is the common difference, and n is the position of the term that we want to find. For example, if the first term of an arithmetic sequence is 3, and the common difference is 2, then the nth term can be found by plugging in the values of a_1, d, and n into the formula.

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Complete Question

What is Arithmetic sequences calculator and what is nth term?

Answer:

1020 handshakes including the bride and the groom. 980 excluding the groom and the bride.

Step-by-step explanation:

(20*19) twenty people on the brides side shake hands with the other 19 people (19 because you can't really shake your own hand).

+(20*30) twenty people on the brides side shake hand with 30 people on the grooms side.

+(20*2) twenty people on the brides side shake hands with the bride and the groom.

this equalssss......

1020!!!!

Since the grooms family does hugs instead of handshakes, you'd only calculate how many the brides side does.

Answer:

Step-by-step explanation:

The lines are neither parallel nor perpendicular.

Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if the product of their slopes is -1.

To find the slope of a line given in the form of Ax + By = C, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.

The first line, 6x - 12y = 24, can be rearranged into slope-intercept form as follows:

12y = -6x + 24

y = -0.5x + 2

The slope of the first line is -0.5.

The second line, 4x + 2y = 8, can be rearranged into slope-intercept form as follows:

2y = -4x + 8

y = -2x + 4

The slope of the second line is -2.

Since the product of the slopes is not -1, the lines are not perpendicular. And since the slopes are not the same, the lines are not parallel. So, the lines are neither parallel nor perpendicular.

In the function rule p(t) - 700, the number 700 represents a constant value that is subtracted from the value of the function p(t).

Assuming that p(t) is a function of time t, it is possible that p(t) represents a physical quantity such as the population of a city, the price of a stock, or the number of customers in a store, among other things. If we know what p(t) represents, we can interpret the meaning of 700 in the context of the situation.

For example, if p(t) represents the population of a city, then p(t) - 700 would represent the difference between the population and a reference value of 700. This could mean that 700 is the estimated minimum viable population of the city, or it could represent a reference population for comparison with other cities.

If p(t) represents the price of a stock, then p(t) - 700 would represent the difference between the stock price and a target value of 700, such as a price floor or a strike price.

In general, the meaning of 700 in the function rule p(t) - 700 depends on the specific context of the situation and the physical quantity that p(t) represents.

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Answer:

(x + 6)² + (y - 5)² = 16

Step-by-step explanation:

The sin 20° can be expressed as D. cos 70⁰

We will need to find the value of given angles one after the other . for instance By creating an angle of 70 degrees with the x-axis and then determining the coordinates of the point (0.342, 0.9397) on the unit circle, it is possible to determine the value of sin 70 degrees. The y-coordinate is equal to the value of sin 70°. (0.9397). ∴ sin 70° = 0.9397.

The given angle is

Sin 20° = 0.342

option A;

tan 20⁰ =0.364

Option B:

sin 70⁰ =  0.9397

Option C :

cos 20° = 0.9397.

Option D :

cos 70 degrees = 0.342

Therefore, option D is correct.

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The range of 85-95 is within one standard deviation of the mean in a normal distribution with a mean of 90 and a standard deviation of 5,the correct answer is c. 85-95.

The normal distribution is a bell-shaped curve that is centered around the mean and symmetrical about the mean. In a normal distribution with a mean of 90 and a standard deviation of 5, one standard deviation of the mean would be 85-95. This means that any score within this range is within one standard deviation of the mean.

To calculate this, we first look at the mean, which is 90. To find the value of one standard deviation from the mean, we need to subtract 5 from 90 to get 85. To find the upper limit of one standard deviation, we add 5 to 90 to get 95. Therefore, any score between 85 and 95 is within one standard deviation of the mean.

To summarize, any score within the range of 85-95 is within one standard deviation of the mean in a normal distribution with a mean of 90 and a standard deviation of 5. Therefore, the correct answer is c. 85-95.

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The marked price of the radio is Rs 10000.

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

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

Using the above as a guide, we have the following:

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

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When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and  reflected across y-axis then (-x, y) be the point.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph

Reflection is a process of transformation.

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Let the coordinates of a point be (4, 3).

When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).

(x, y)---->(x, -y)

The reflection of point (x, y) across the y-axis is (-x, y).

(x, y)---->(-x, y)

(4,3)  reflection across the y-axis is (-4, 3).

Hence, the reflection of point (x, y) across the y-axis is (-x, y) and  reflection of point (x, y) across the x-axis is (x, -y).

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B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.

If LA Galaxy has won 36% of their soccer matches, this means that they have won 36/100 * 50 = 18 matches.

So, they have won 18 matches out of 50.

Step-by-step explanation:

percentage of soccer matches won = 36%

total matches = 50

matches won = 36/100 * 50

=18

The correct option is C which is out of 30000 there will be 27000 deaths.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

Given, according to the website, 90% of the 30,000 deaths caused by unsafe water and filthy living conditions that occur every week around the world involve children under the age of five. All of the following interpretations of this statistic are accurate.

The percentage of deaths will be calculated as:-

Percentage = 30000 x 90%

Percentage = 30000 x 0.9

Percentage = 27000

Therefore, the number of deaths will be 27000.

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If the variance in the thickness of 20 textbooks is 0.0665 , then the random error in the mean value is  ±0.1207 inches and the confidence interval is (1.013 ± 0.1207) inches  .

The number of textbooks (number of observations) , n = 20 ;

So , v = n - 1 = 20 - 1 = 19 ;

For v = 19 and 95% confidence interval , we have t = 2.093  ;

The variance (σ²) is = 0.0665 ;

So , σ = √0.665 = 0.258 inches ;

We know that , Random Error (Δ) = tσ/√n = (2.093 × 0.258)/√20

= 0.1207 ;

The mean of the thickness of textbooks is ( [tex]\bar x[/tex] ) = 1.013 inches ;

So , the Random Error in the mean is = ±Δ = ±0.1207 inches ;

and the 95% confidence interval is = [tex]\bar x[/tex] ± Δ

⇒ (1.013 ± 0.1207) inches ;

Therefore , the Random Error is ±0.1207 inches , and the interval is (1.013 ± 0.1207) inches .

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Answer:

8π

Step-by-step explanation:

The period of a function f(x)  is the x-distance between two repeating points of the function

Looking at the function graph given we see that the function reaches a peak value(called amplitude) at x = -6π and then again reaches this value at x = 2π

So the x-distance is 2π - (-6π) = 2π + 6π = 8π

From 2π, the function reaches its maximum value again at 10π giving the period once again as 10π - 2π = 8π

Answer:

It would be 180 - 136 = 44

Step-by-step explanation:

Answer:

yes you are correct

Step-by-step explanation:

180-136=44

Answer:

the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²

The area of the figure is 254.8 m²

Area is the region occupied by an object.

Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.

The area of the rectangle is given by A = LW where

Given that

A = LW

= 16 m × 12 m

= 192 m²

The area of a semi-circle with diameter d is A = πd²/4

Now for the first semi-circle, its diameter d' = 8 m.

So, its area A' =  πd'²/4

=  π(8 m)²/4

= π64 m²/4

= 16π m²

= 16 ×3.14 m²

= 50.24 m²

Also, for the fsecond semi-circle, its diameter d" = 4 m.

So, its area A' =  πd'²/4

=  π(4 m)²/4

= π16 m²/4

= 4π m²

= 4 × 3.14 m²

= 12.56 m²

So, the area of the figure is A₁ = A + A' + A"

= 192 m² + 50.24 m² + 12.56 m²

= 254.8 m²

So, the area of the figure is 254.8 m²

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The ordered pair (2,10) means that the cost to feed 200 animals is of $10,000.

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The variables for this problem are given as follows:

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Answer:

A.  9.4 mi

Step-by-step explanation:

Sketch a right triangle with legs of 8 and 5.  Shortest distance back to the starting point is the hypotenuse (h) of the triangle:

h² = 8² + 5² = 89

h = √89 = 9.43 mi

Answer:

13 or 17

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

Given numbers:

Put them in the ascending order:

Let the possible number to be added be x.

Since x is the median, it should be between 13 and 17:

Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.

The population mean, 9,009, 10,585 employees, and 9,009, 10,585 steps are the solution.

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency.

The term "activity tracker" refers to gadgets, including watches and bands, that record your physical activity, such as walking, jogging, and skipping. They only count your steps and inform you of your daily objectives. They are quite useful for tracking blood pressure and other things.

The 95% confidence interval between 9,009 and 10,585 steps was used to estimate the mean number of steps taken by City employees.

The likelihood of the various values may be estimated using the confidence interval. It may be utilised to derive conclusions about the population mean.

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The system of linear equations represented in the graph have (b) ne solution at (2, −1)

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

The graph

The graph represents two linear functions

The point of intersection of the linear functions represent the solution

In this case, the linear functions intersect at (2, −1)

Hence, it has one solution at (2, −1)

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Answer:

I picked "d. Infinitely many solutions" but it turned out to be wrong lol, so I'm guessing the person above is correct.

Step-by-step explanation:

= 9>x or. = 11<x.

Here is the answer

The probability that both phenotypes are o is 0.1600

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

In a probability notation, events  and  are independent if  (  ∣  ) =  (  ) . Events  and  are independent if and only if  (  ∩  ) =  (  ) ×  (  ) . If  and  are dependent events, then  (  ∩  ) =  (  ∣  ) ×  (  ) .

the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39  so for o the value is 0.40 so we put it and slolve .

The samples are independents, so:

P(O1∩O2) = P(O1).P(O2) = 0.40*0.40=0.1600

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Answer:

Expected amount = $1.50

Step-by-step explanation:

Let's get a couple of definitions out of the way to understand how to compute the expected value given probabilities

Random Variable is a set of possible values from a random experiment.
We usually denote a random variable using the sets of possible values that the variable can take.

When we toss a fair die, the probability of getting a single number = 1/6 since there are 6 possible outcomes

The probability of getting 2 given numbers say 1 or 2 is twice 1/6 = 2 x 1/6 = 2/3 and so on

The expected value of each outcome is the value attached to each outcome x probability of that outcome

As an example, P(1 or 2) = 2/6 = 1/3

Payout = $3

Expected payout = 3 x 1/3 = $1

The table below summarizes the outcomes, probabilities, payouts and expected payouts

Outcome             Probability              Payout              Expected Payout
                                                                                     (Payout x probability)

X = {1 or 2}            2/6 = 1/3                  $3                     $3 x 1/3 = $1

X = {3}                       1/6                       $5                     $5 x 1/6 = $5/6

X = {4 or 5}           2/6 = 1/3                  $0                      $0 x 1/3 = $0

X = {6}                        1/6                      -2$                     -$2 x 1/6 = -$2/6

The expected payout in the long run is the sum of the individual expected payouts

= $1 + $5/6 + $0 - $2/6    (5/6 - 2/6 = 3/6)

= $1 + $3/6             (3/6 = $0.50)

= $1 + $0.50

= $1.50

The expected value of the game is $2. This means that if you play the game many times, you can expect to win an average of $2 per game in the long run.

It is a branch of mathematics that deals with the occurrence of a random event.

To determine whether you should play the game, we need to calculate the expected value of the game.

The expected value is the sum of the product of each outcome and its probability.

The outcomes and their corresponding probabilities are:

Win $3 with probability 1/3 (if the number is 1 or 2)

Win $5 with probability 1/6 (if the number is 3)

Win $0 with probability 2/6 = 1/3 (if the number is 4 or 5)

Lose $2 with probability 1/6 (if the number is 6)

Using these probabilities and outcomes, we can calculate the expected value as:

Expected value = (3 × 1/3) + (5 × 1/6) + (0 × 1/3) + (-2 × 1/6)

= 1 + 5/6 - 1/6

= 1.666

= 2

Hence, the expected value of the game is $2. This means that if you play the game many times, you can expect to win an average of $2 per game in the long run.

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The value of angle PSQ is  136. 9 degrees

It is important to note the following;

Then, we have that;

30x + 6  + 11x - 5 = 180 degrees

Now, let's collect the like terms

30x + 11x + 6 - 5 = 180

add or subtract the like terms

41x = 180 - 1

41x = 179

Divide the values, we get;

x = 4. 36

Then,

PSQ = 30x + 6

PSQ = 136. 9 degrees

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