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What are examples of vertical angles in real life?

The intersecting lines on the dartboard form 10 pairs of vertical angles. The angles lie opposite of each other on the board and share the same measurement. The bull's eye in the center of the board serves as the vertex.\nA vertical angle can be found when a person crosses his arms to form the shape of an X. Another example is some floor designs in which lines intersect to form vertical angles.\nVertical angles are defined as a pair of non-adjacent angles formed by two lines that are intersecting. The two lines form four angles at the intersection. The angles opposite each other are verti..

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What is the Bernoulli differential equation?

If n = 0 or n = 1, then the equation is linear. For n values other than zero or one, the differential equation should be divided by y^n to yield the equation y^-n y^t + p(x)y^1-n = q(x). To yield an equation that can be solved, v will replace y^1-n to convert the differential equation in terms of v. Taking the derivative of this leads to v^t = (1 - n)y^n y^t. Plugging this in along with the substitution gives the equation 1/1-n(v^t) + p(x)v = q(x). It is now a linear differential equation that can be solved for v, which can be plugged into the original equation to solve for y. This solves the ..

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Are all prime numbers odd?

All other prime numbers are odd, because every even number can be divided by two, meaning the number must have at least three possible divisors, making it a composite number. There is no simple formula for determining whether a very large number is prime or composite, but no prime number can end in an even number or zero. With the exception of the number five, no prime number can end in five.

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What is the equation for a midpoint?

For example, to find the midpoint between the points (4, 9) and (6, 3), the equation requires adding 4 and 6 for a sum of 10 and then dividing this sum by 2 for the x-coordinate point of the midpoint, which is 5. Similarly, the y-coordinate point of the midpoint is found by adding 9 and 3 for a sum of 12, and then dividing 12 by 2, yielding a y-coordinate midpoint of 6.

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What is a percentage component bar chart?

The percentage component bar chart can be made up of any number of items, from as few as two to as many as are needed to convey the needed information. The amounts represented on these kinds of graphs are portions and not absolute values so they may lay out or appear different from other graphs with the same content and information put into them.

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How do you file in numerical order?

Numeric ordering of files allow for an infinite entry of records. It enhances confidentiality of files, such as in a hospital where the disclosure of patients' names is undesired. Numerical indexes also make it easier to give unique identities to items with similar names. A numeric filing system with indexes tracked by a computer system allows for easy cross-referencing through search queries or sorting.\nFiling systems are not mutually exclusive, and different strategies can be used together to suit an organization’s filing needs. For instance, numerically ordered physical files can ha..

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What are all of the whole number factors of 64?

Mathematicians can also express 64 as a power of some of its divisors. It is equal to two raised to the sixth power, four raised to the third power and eight squared. It is the lowest positive number that is both a perfect square and a perfect cube.\nThe number 64 is also a centered triangular number. This means that it can be expressed by a series of triangles, in this case seven, centered around one dot. Three dots form the smallest triangle. Six dots form the middle triangle. Nine dots form the next triangle, and so on. The seventh outer triangle has 18 dots. The sum of the central dot and ..

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What is relative extrema?

There are four kinds of extrema that can be found in the graph of a function. These are the absolute maximum, the absolute minimum, the relative maximums and the relative minimums.\nThe absolute maximum refers to the highest point on the entire graph. In contrast, a relative maximum refers to the highest point in a region of the graph, but not necessarily the highest point on the entire graph. The same logic holds true when comparing the absolute minimum to the relative minimums.

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What is direct square proportion?

An example of direct square proportion is when a circle is directly proportional to the square of its radius. This example is expressed by an equation stating that the area of a circle is equal to the constant multiplied by the square of the radius. Direct proportion is the relationship between two things in which the quantity of one is directly proportional to the other, without the second quantity being squared. In this type of proportion, the two quantities change by the same factor.

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What are some common shapes?

A square is created by four lines of equal measurements that create a right angle where the lines meet. It has four sides.\nA circle is made up of one 360-degree curve. Without any line segments, the circle lacks any angles at all.\nTriangles, which consist of three line segments, can contain various length lines. The type of triangle is determined by the angles created where the line segments meet. Triangles don't always contain right angles. If all the angles measure less than 90 degrees, the triangle is considered acute.

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