Find the m42 in the figure below.

Angle constructed by bisecting a 45° angle: By bisecting a 45° angle, we can construct an angle with a measure of 22.5 degrees.

To bisect an angle means to divide it into two equal parts. When we bisect a 45° angle, we are essentially dividing it in half to create two angles of equal measure.

To construct the bisector of a 45° angle, we can follow these steps:

Begin by drawing a ray (a straight line extending indefinitely in one direction) to serve as one side of the angle.

Using a protractor, measure and mark a 45° angle on the ray. This will be our original angle.

Place the point of the compass on the vertex (the point where the two sides of the original angle meet) and draw an arc that intersects both sides of the angle.

Without changing the compass width, place the compass point on one of the intersection points of the arc with the angle.

Draw another arc that cuts across the first arc, creating two points of intersection.

Finally, draw a ray connecting the vertex of the angle to one of the points of intersection on the second arc. This ray will be the bisector of the 45° angle.

Upon completing these steps, we will have constructed an angle bisector that divides the 45° angle into two equal angles, each measuring 22.5 degrees.

It's important to note that bisecting an angle is a fundamental geometric construction technique and can be used to divide any given angle into two equal parts. The process described above is specifically for bisecting a 45° angle, but the same principles can be applied to bisect angles of different measures.

In summary, by bisecting a 45° angle, we can construct an angle with a measure of 22.5 degrees. This construction involves drawing an arc from the vertex, creating two intersection points, and connecting the vertex to one of those points to form the angle bisector.

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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The two numbers p and q are 50 and 10 respectively.

subtract 5 from p and subtract 5 from q the result are in the ratio 9: 1

(p - 5):(q - 5) = 9:1

(p-5)/(q - 5) = 9/1

p - 5 = 9(q - 5)

p - 5 = 9q - 45

p - 9q = -40

3p - 27q = -120.......equation 1

(p + 20):(q + 20) = 7:3

(p + 20)/(q + 20) = 7/3

3(p + 20) = 7(q + 20)

3p + 60 = 7q + 140

3p - 7q = 80.......equation 2

subtracting equation 1 from equation 2

3p - 7q -3p + 27q = 80 + 120

20q = 200

q = 10

p - 9q = -40

p - 90 = -40

p = 50

THerefore, the two numbers p and q are 50 and 10 respectively.

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By definition, when a test or technique measures what it intends to, it is valid.

The answer is option A.

The criterion-related validity of a take-a-look is measured by the validity coefficient. Its miles said as a number between zero and 1.00 that indicates the significance of the relationship, "r," among the take a look at and a measure of task overall performance (criterion).

Reliability and validity are both approximately how nicely a technique measures something: Reliability refers to the consistency of a measure (whether or not the consequences can be reproduced below identical situations).

Validity refers back to the accuracy of a measure (whether or not the results really do constitute what they may be speculated to a degree).

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let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Answer:

x=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−6)+12=20

(4)(x)+(4)(−6)+12=20(Distribute)

4x+−24+12=20

(4x)+(−24+12)=20(Combine Like Terms)

4x+−12=20

4x−12=20

Step 2: Add 12 to both sides.

4x−12+12=20+12

4x=32

Step 3: Divide both sides by 4.

4x

4

=

32

4

Answer:

x^(2)-4x-19=0

Step-by-step explanation:

trust me

Answer:

the cop offers them a police escort all the way to Langley

Step-by-step explanation:

having a car full of african americans in a car chase a police all the way too Langley.

Answer:

\({x}^{2} - 10x + 25\)

Step-by-step explanation:

For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.

(x - 5) (x - 5)

First, multiply the two Xs together.

X * X =

\( {x}^{2} \)

Now, the outer numbers and values.

X * -5 =

\( - 5x\)

Then, it's the inner numbers and values.

-5 * x =

\( - 5x\)

Finally, multiply the last numbers.

-5 * -5 =

\( 25\)

Now that we have multiplied all of the values, we can put the answers from FOIL together.

\( {x}^{2} - 5x - 5x + 25\)

Now, add any like terms.

\( - 5x - 5x = - 10x\)

The answer is

\( {x}^{2} - 10x + 25\)

Answer:

m∠VUS = 122

Step-by-step explanation:

m∠TUX = 122°

∴m∠VUS = 122°(vertically opposite angles are equal)

hope this helps you!!

The solution is, m∠VUS = 122

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the diagram, we get,

m∠TUX = 122°

∴m∠VUS = 122°

(vertically opposite angles are equal)

Hence, The solution is, m∠VUS = 122.

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Answer

Burning of coal undergoes combustion reaction. Combustion reaction is a type of reaction in which chemical species experiences oxidation by undergoing a reaction with the oxidizing agent which results in the emission of energy in the form of heat. It is an exothermic process.

Step-by-step explanation:

The benefit of using a curve over a histogram is that, it is a useful tool for visualizing data distributions, curves provide a more detailed and flexible representation of the data and offer additional advantages in terms of resolution, flexibility, parametric modeling, and comparison.

Visualizing data is an essential aspect of understanding the underlying patterns and relationships. In data analysis, two popular ways of visualizing data are histograms and curves. While both of these visualization techniques serve the purpose of summarizing data, each of them has its unique benefits and limitations.

Resolution: One of the main benefits of using a curve over a histogram is that a curve provides a higher resolution representation of the data. A curve can capture finer details of the data distribution that might get lost in a histogram due to the binning process.

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The area of a regular octagon is equal to the product of the apothem and the perimeter. In this case, the apothem is 10.9 feet and the perimeter is 8 times 9 feet, or 72 feet. Therefore, the area of the gazebo is 10.9 feet multiplied by 72 feet, or 783.8 square feet.

To calculate the area, first draw a diagram of the octagon. Each side of the octagon is 9 feet. Then draw a line segment, known as the apothem, from the center of the octagon to one of the corners. The apothem has a length of 10.9 feet.
Next, draw a line segment from the center to the midpoint of one side of the octagon. This line segment has a length of half the side, or 4.5 feet. The two line segments, the apothem and the line segment connecting the center to the midpoint of one side, form a right triangle. Therefore, the area of the triangle is equal to the length of the apothem (10.9 feet) multiplied by the length of the line segment connecting the center to the midpoint of one side (4.5 feet), divided by 2. This equals 24.6 square feet.

Since there are 8 sides to the octagon, the total area is equal to 8 times the area of the triangle, or 8 multiplied by 24.6, or 196.8 square feet. Finally, add the area of the triangle to the area of the octagon to get the total area of the gazebo, which is 783.8 square feet.

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Answer:

1). The distance of the foot of the ladder to the nearest foot is 17 (17.3 rounded)

2). The angle the ladder makes with the house  to the nearest degree is 12 (12.8 rounded)

Step-by-step explanation:

1). Use the 30, 60, 90 special right triangles formula (the side opposite of the 30 degree angle is equal to x, the side opposite of the 90 degree angle is equal to 2x, and the side opposite of the 60 degree angle is equal to x square root 3) and you need to find x square root 3. Since you already have 2x (20) you just need to divide that by 2 and you have x. Then, you need to take that number and multiply it by the square root of 3, giving you the answer given to you above.

2). Using trig to find the missing angle, you use cosine (adjacent over hypotenuse) so the equation would equal: cosine(x)=adjacent (19.5) over hypotenuse (20). To get x by itself, you take away cosine from one side and turn it into cosine-1 on the other side of the equation, leaving x by itself. Then you put into your calculator cosine-1 (19.5 over 20), giving you the answer given above .

Hope this helps (:    

The Quotient is 2x + 4

The remainder is 33x + 72

We have,

Expression:

(2x³ - 25x + 40) / (x² - 2x - 8)

Dividing the expression:

x² - 2x - 8 ) 2x³ - 25x + 40 ( 2x + 4

                  2x³ -  4x² - 16x

              (-)      (+)      (+)      

                          4x² - 41x + 40

                          4x² - 8x   - 32

                       (-)     (+)      (+)  

                                 33x + 72

Now,

Quotient = 2x + 4

Remainder = 33x + 72

Thus,

The Quotient is 2x + 4

The remainder is 33x + 72

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Answer:

y + z = x

Step-by-step explanation:

The domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

The function that models the total weight of a crate with b boxes inside is given as:

c = 24b + 30

We know that each crate can hold a maximum of 6 boxes. Therefore, the number of boxes inside the crate can only take values from 0 to 6.

Domain:

The number of boxes b can take values from 0 to 6. Therefore, the domain of the function is:

0 ≤ b ≤ 6

Range:

To find the range of the function, we need to consider the maximum and minimum values that c can take when

0 ≤ b ≤ 6.

When b = 0, the crate is empty, and the total weight of the crate is:

c = 24(0) + 30 = 30.

When b = 6, the crate is full with 6 boxes, and the total weight of the crate is:

c = 24(6) + 30 = 174.

Therefore, the range of the function is:

30 ≤ c ≤ 174

We can then say the domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

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Answer:

1/9

Step-by-step explanation:

If it’s a negative exponents you just use the reciprocal and multiply that by the power. In this case its, 1/3(1/3)=1/9

1/9

No negative signs since it’s multiplying by the reciprocal to the power

Answer:

england

Step-by-step explanation:

Answer:

B) England

Step-by-step explanation:

This process began in Britain in the 18th century and from there spread to other parts of the world

Answer:

try both -1, if I'm wrong I am sorry

The statements that are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent are:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

F. All columns of the matrix A are pivot columns.

Let's examine each option to see why they are equivalent:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

This statement is equivalent to linear independence because it states that the only way for the linear combination of the vectors to equal the zero vector is if all the weights are zero. In other words, there are no nontrivial solutions to the equation c₁v₁ + c₂v₂ + ... + cₚvₚ = 0, where c₁, c₂, ..., cₚ are the weights.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

This statement is also equivalent to linear independence because it states that the only solution to the equation is the trivial solution where all the variables x₁, x₂, ..., xₚ are zero. In other words, there are no nontrivial solutions to the homogeneous system of equations represented by the vector equation.

F. All columns of the matrix A are pivot columns.

This statement is equivalent to linear independence because it implies that every column of the matrix A is a pivot column, meaning that there are no free variables in the corresponding system of equations. This, in turn, implies that the only solution to the homogeneous system Ax = 0 is the trivial solution, making the set of vectors linearly independent.

The other options (C and E) are not equivalent to the statement that a set of vectors is linearly independent:

C. There are weights, not all zero, that make the linear combination of vi, ..., vp the zero vector.

This statement describes linear dependence rather than linear independence. If there are non-zero weights that result in the linear combination of the vectors equaling the zero vector, it means that the vectors are linearly dependent.

E. The matrix equation Ax = 0 has only the trivial solution.

This statement is related to the linear dependence of the columns of the matrix A rather than the linear independence of the vectors (v1, ..., vp). It refers to the homogeneous system of equations represented by the matrix equation and states that the only solution is the trivial solution, implying that the columns of A are linearly independent. However, it does not directly correspond to the linear independence of the original set of vectors.

In summary, the statements A, B, and F are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent.

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The answer would be 13.25 :)).

Answer:

5 3/4

Step-by-step explanation:

The frequency distribution given shows the number of medical tests conducted on 32 randomly selected emergency room patients. It provides information on the number of tests performed and the corresponding number of patients for each test category.

To send this data to Excel, you can follow these steps:
1. Open Excel on your computer.
2. Create a new spreadsheet by selecting "Blank Workbook" or "New Workbook."
3. In the first column, enter the different categories of tests performed: 0, 1, 2, 3, and 4 or more.
4. In the second column, enter the corresponding number of patients for each test category: 14, 8, 4, 4, and 2.
5. Label the first column as "Number of Tests" and the second column as "Number of Patients."
6. Highlight the data in both columns.
7. Click on the "Insert" tab in the Excel menu.
8. From the "Charts" section, select the type of chart you want to create, such as a bar chart or column chart. This will visually represent the frequency distribution.
9. Customize the chart as desired by adding titles, adjusting colors, and modifying other formatting options.
10. Once you are satisfied with the chart, save the Excel file by clicking on "File" and then selecting "Save As." Choose a location on your computer to save the file, provide a name, and click "Save."

By following these steps, you will have successfully sent the data on the frequency distribution of medical tests to Excel and created a visual representation of the information using a chart.

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The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

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Answer:

M = -1

Step-by-step explanation:

Answer:

C. the organization of parts into a whole pattern

Step-by-step explanation:

The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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A demand that is completely inelastic is one in which a change in price has no impact on the quantity demanded. The demand curve in this situation is vertical, and there is no demand elasticity.

A demand curve in economics is a graph showing the relationship between the price of a specific good (the y-axis) and the amount of that good that is desired at that price (the x-axis). Demand curves can be applied to both the price-quantity relationship for a single consumer (an individual demand curve) and for all consumers in a specific market.

Demand curves are typically thought to slope downward, as the adjacent image illustrates. This is due to the law of demand, which states that for the majority of goods, the quantity demanded decreases as the price increases. This law does not apply in some peculiar circumstances. These include Veblen goods, Giffen goods, and speculative bubbles, in which consumers are drawn to a commodity if its price increases.

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