q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr​

The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Answer:

t>=7

Step-by-step explanation:

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

The normal distribution is a specific distribution having a characteristic bell-shaped form.

The specific distribution that has a characteristic bell-shaped form is called the normal distribution. It is a continuous probability distribution that is symmetric around the mean. In a normal distribution, the majority of the data falls close to the mean, with fewer data points found further away from the mean towards the tails.

The normal distribution is important in statistics because many natural phenomena and processes follow this distribution, such as heights and weights of people, IQ scores, and errors in measurements.

The normal distribution has several properties that make it useful in statistical analysis, including the central limit theorem, which states that the sum of many independent and identically distributed random variables tends to follow a normal distribution.

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The solution to this system of linear equations is  (7, 3).

What is equation?

In mathematics, an equation is a formula that expresses the equivalency of two expressions, by connecting them with the equals sign =

Main body:

x - 3y = -2

x = 3y - 2 ….. (1)

x + 3y = 16 …… (2)

Let us solve the system of linear equations using the substitution method.

Substituting x in equation (2)

3y - 2 + 3y = 16

6y = 16 + 2

6y = 18

Divide both sides by 6

y = 3

Substituting the value of y in equation (1)

x = 3 (3) - 2

x = 9 - 2

x = 7

Therefore, the solution is (7, 3).

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For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

5x

Step-by-step explanation:

First, calculate the product.
You gave 7x-3×4x+5x×2​
3x4 is 12 and 5x2 is 10.
Therefore, we now have 7x-12x+10x

Now collect like terms.
7x-12x+10x which will now be (7-12+10)x will give you 5x. 5x is your answer.

Percent error of the car with actual value of $100 and expected value of the car is $121.80 is equal to 17.898%.

As given in the question,

Expected amount calculate by Nicole to buy a car = $121.80

Actual price of a car is equal to $100

To calculate a percent error we have,

Percent error = | (Actual value - Expected value ) / Expected value | × 100

                      = | ( 100 - 121.80 ) / 121.80| × 100

                      = | -21.80/ 121.80 | × 100

                      = | -0.17898 | × 100

                      = 17.898% error

Therefore, percent error of the car with actual value of $100 and expected value of the car is $121.80 is equal to 17.898%.

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Answer:

No

Step-by-step explanation:

Without any side lengths, the most three angles can determine is similarity, not congruency. This means you can determine the ratio of the lengths of the sides, but not any of the sides individually.

The slope of line t is equal to 1/3.

The y-intercept of line t is equal to -1.

A table representing points on line s is shown below.

An equation that could represent line s is: IV. y = 1/3x +4​.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (0 - (-1))/(3 - 0)

Slope, m = 1/3

Based on the graph, the y-intercept of t is at point (0, -1)

Additionally, a table representing points on line s is given by;

x         y

-6       2

-3       3

0        4

3         5

Since line s has the same slope and passes through the point (0, 4), an equation that represents it is given by;

y = mx + c

y = x/3 + 4.

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Answer:

sorry dont know the answer im new to this website

Step-by-step explanation:

Answer:

1.x=11

2.x=+5=+2.2362

3.x=+3.750=+1.93649

Answer:

Step-by-step explanation:

Can't sketch it, obviously, but I can help you understand how to do that on your own. The standard form of a circle is

\((x-h)^2+(y-k)^2=r^2\) where h and k are the coordinates for the center of the circle. The super-important thing to remember here is that the standard form is ALWAYS (x-h)^2 (the minus being the important part!). That means that if the expression is

\((x-2)^2\) for example, it can be rewritten to be understood as

\((x-(+2))^2\) where the positive implies movement to the right. If the expression is

\((x+2)^2\) for example, it can be rewritten to be understood as

\((x-(-2))^2\) where negative is indicative of movement to the right. The location of the center of a circle will help you graph it.

In our circle, we have a -1 in with the x and a +3 in with the y. The -1 indicates movement to the right 1 unit (positive 1), while the +3 in with the y indicates movement to the left 3 units (-3).  Therefore, the movement of the circle also indicates the coordinates of the center: (1, -3).

The radius is found in the square root of the number to the right of the equals sign. Ours is a 4; therefore, the radius is 2.

To draw this circle, locate the point (1, -3) on your graph paper and put a dot. Then count directly to the right 2 units and make a dot, directly to the left 2 units and make a dot, directly up 2 units and make a dot, and directly down 2 units and make a dot. Connect the outer 4 dots in as smoothly as possible to get a circle. And there you go!

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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A whopping 95% of people fall within the IQ ranges of 70 and 130. 99.7% of people in the world have IQs between 55 and 145. Only about 0.3% of people have IQ scores that fall outside of this range (less than 55 or higher than 145).

According to the one-standard-deviation rule, 32 percent of the population has an IQ score that is at least 15 points off from 100: 16 percent have IQs over 115, and 16 percent have IQs below 85.

The equation IQ=mc100, where m is the mental age and c is the chromological age, determines a person's IQ. Find the range of their mental ages if a group of 12-year-old youngsters has an IQ between 80 and 140.

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Answer:

....

Step-by-step explanation:

3.6 units

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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Answer:

Used another answer on Brainly

Step-by-step explanation:

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

Answer:

Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

6 ft

Step-by-step explanation:

slope = \(\frac{rise}{run}\) ( rise is vertical height and run is horizontal distance )

here vertical height = 3 and slope = \(\frac{1}{2}\) , then

\(\frac{1}{2}\) = \(\frac{3}{run}\) ( cross- multiply )

run = 2 × 3 = 6 ft

To fit the image of a 2-meter target on a surveying device screen that is 0.0026 meters wide and located 0.1 meters away from the lens, the lens should be positioned approximately 10 meters away from the target.

To calculate this distance, we can use the thin lens formula, which relates the object distance (d1), the image distance (d2), and the focal length (f) of the lens. In this case, we know the screen width (0.0026 meters) and the object size (2 meters).

Using the formula: 1/f = 1/d1 + 1/d2

Given that the screen is 0.0026 meters wide, we can assume the object size is also 0.0026 meters. Plugging these values into the formula, we can solve for d1 (the distance between the object and the lens).

Solving the equation, we find that d1 is approximately 0.103 meters, or 0.1 meters (rounded).

Therefore, to fit the image of the 2-meter target on the screen, the lens should be positioned approximately 10 meters away from the target.

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Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.

In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.

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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.

The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:

Ed = (% change in quantity demanded) / (% change in price)

Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.

The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.

While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.

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To evaluate the inverse Fourier transform of the Lorentz distribution, we have:

f(t) =\((2\pi)^_(-1/2)\)\(\int[F(w) e^_(-iwt)]\)\(dw\)

where F(w) is the given Lorentz distribution function:

F(w) = \(\pi / (w^2 + y^2 / 2)\)

We need to treat the cases t < 0 and t > 0 differently when evaluating the integral by residues.

Case 1: t < 0

In this case, we close the contour in the upper half-plane and evaluate the integral using the residue theorem.

The only singularity enclosed by the contour is a simple pole at w =\(i\sqrt(y^2 / 2)\).

The residue at w = \(i\sqrt(y^2 / 2)\) is given by:

Res[w = \(i\sqrt(y^2 / 2)\)]

= \(lim[w→i\sqrt(y^2 / 2)] (w - i\sqrt(y^2 / 2)) F(w)\)

= \(\pi/ (2i\sqrt(y^2 / 2))\)

= \(\pi/ (\sqrt2y)\)

Therefore, for t < 0, we have:

f(t) =\((2\pi)^_(-1/2)\)\((2\pi_i)\)

Res[w =\(i\sqrt(y^2 / 2)] e^_(-iwt)\)

= \((2\pi)^_(-1/2)\)\((2\pi_i)\)\((\pi/ (\sqrt2y))\)\(e^_(\sqrt(y^2 / 2)t)\)

=\((\pi / (\sqrt2y)) e^_(\sqrt(y^2 / 2)t)\)

Case 2: t > 0

In this case, we close the contour in the lower half-plane and evaluate the integral using the residue theorem. The only singularity enclosed by the contour is a simple pole at w = \(-i\sqrt(y^2 / 2).\)

The residue at w =\(-i\sqrt(y^2 / 2)\) is given by:

Res[w = \(-i\sqrt(y^2 / 2)]\)

=\(lim[w→-i\sqrt(y^2 / 2)] (w + i\sqrt(y^2 / 2)) F(w)\)

= \(-\pi (2i\sqrt(y^2 / 2))\)

= \(-\pi / (\sqrt2y)\)

Therefore, for t > 0, we have:

f(t) =\((2\pi)^_(-1/2)\)\((2\pi_i)\)

Res[w =\(-i\pi(y^2 / 2)] e^_(-iwt)\)

= \((2\pi)^_(-1/2)\)\((2\pi_i) (-\pi / (\sqrt2y))\)\(e^_(-\sqrt(y^2 / 2)t)\)

=\(-(\pi / (\sqrt2y)) e^_(-\sqrt(y^2 / 2)t)\)

Combining the results for t < 0 and t > 0, we have the final expression for the inverse Fourier transform of the Lorentz distribution:

f(t) =

\((\pi / (\sqrt2y)) e^_(\sqrt(y^2 / 2)|t|)\) (for t ≠ 0)

f(0) =

\(\pi / (\sqrt2y)\)(at t = 0)

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Answer:

yup i know no nope

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The average speed exceeding the speed limit is mathematically given as

6.91 kilometers per hour

This is further explained below.

Let's assume that Erik maintains a steady pace during the whole trip.

Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:

Where: miles is the unit of measurement for distance.

t stands for time, which is measured in hours.

Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:

\(\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}\)

In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.

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