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Mathematics Articles
Page 13 of 21
Angles of a Parallelogram
Introduction Angles of a parallelogram ‘s sum is 360 degrees. A parallelogram has four interior angles, and the total of those interior angles is always 360°. In a parallelogram, the adjacent angles are supplementary, and the opposing angles are equal. Let's read in greater detail about the characteristics of a parallelogram's angles. Following is the geometrical figure parallelogram IJKL in which $\mathrm{IJ\:=\:LK\:}$ & $\mathrm{JK\:=\:IL}$ $$\mathrm{IJ\:\rVert\:LK\:\:, \:JK\rVert\:IL}$$ that is opposite edges are equal and parallel and diagonals are bisectors of each other they intersect at the point O. In parallelogram opposite angles are of the same measure i.e., $\mathrm{\angle\:I=\:\angle\:k}$ & ...
Read MoreAlgebra – Linear Equations Applications
Introduction Linear equations have numerous applications in mathematics. An equation may be defined as an algebraic expression equated to constant or other expressions. An equation with the highest exponential power of variables equal to one is called a linear equation. Mathematical expressions can be used to solve word problems. Mathematical knowledge is usually applied through word problems coded in the form of expressions. In this tutorial, we will understand linear equations, algebra of linear equations, solving linear equations, one equation, one variable, two equations, two variables, and some solved examples. Linear Equations An equation consisting of one or more variables ...
Read MorePrime Factorization and Division Method For HCF
Introduction The prime factorization and highest common factor (HCF) are two fundamental concepts in arithmetic. Factorization includes the split of an integer into several equal parts. They are extensively used for exchanging money, comparing prices, making arithmetic calculations, optimizing resources, etc. In this tutorial, we will learn about the HCF, methods to find HCF, prime factorization, and repeated division formula with solved examples. Factors The factor is defined as an integer when it divides a number; the remained results in zero. In other words, if the product of two integers results in a third number, then the two integers are ...
Read MoreParallel Lines and Angle Relationships
Introduction Parallel lines are lines never meet at any point, and the distance between two lines is the same. In geometry, straight lines may be intersecting or non-intersecting lines. Intersecting lines make an angle with each other, whereas non-intersecting lines do not make any angle with each other. Parallel lines are lines which do not intersect each other. Each point in a parallel line is equidistant from its corresponding point in the other line. Intersecting lines make angles among themselves from 0 degree to 360 degrees. In a two-dimensional plane, two or more lines can be intersect, parallel, and perpendicular ...
Read MorePEMDAS
Introduction PEMDAS means the order of operations for mathematical expressions involving more than one mathematical operations. In an arithmetic expression containing more than one mathematical operator or a parenthesis, there is a preference in order of operations to be followed to get the correct result of the arithmetic expression the order of operations in a shortcut called PEMDAS. The change in the order of operations would change the result of the arithmetic expression. Therefore, the PEMDAS rule is strictly followed to get the correct result. In the United Kingdom, it is called BODMAS, in Canada, it is called BEDMAS. In ...
Read MorePictograph and Interpretation of a Pictograph
Introduction Pictographs are graphs used to represent data using symbols and images associated with the data. Pictographs are a way of expressing data using images. Each image of the icon represents a specific number. That is, the icon uses images and symbols to convey information about the data provided. Pictograms need to be used very carefully and are very convenient to use, but they can also misinterpret the data. When drawing a pictogram, the data is most often interpreted visually and should look visually correct. You can easily interpret your data using various image representations of your data, such as ...
Read MorePolar Form of Complex Numbers
Introduction The polar form of a complex number $\mathrm{z\:=\:x\:+\:iy\:is\:r(\cos\theta\:+\:i\:\sin\theta)}$.In mathematics, there are various coordinate systems to represent real numbers. However, the complex number system can be represented in two ways, i.e., rectangular and polar coordinate systems. In this tutorial, we will learn about complex numbers, their representation in polar form, and some basic formulae related to complex numbers with solved examples. Complex Number The complex number is a category of a number system associated imaginary numbers. In other words, complex numbers are the summation of real and imaginary numbers. The imaginary numbers are nothing but the square root of the ...
Read MoreOne to One Function
Introduction One to one functions that maps every element of the range to one element of its domain. Functions are defined as relationships between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or range. Functions are commonly represented by 𝑓 (𝑥), where x is the input. The general representation of a function is $$\mathrm{y\:=\:f(x)}$$ In a mathematical sense, these relationships can be described as one-to-one functions. In this case, the number of elements is the ...
Read MoreOrdinate
Introduction Ordinate is the second component in the ordered pair (x, y). There are two major branches of mathematics, including algebra and geometry. Both have separate uses and applications. However, the French mathematician Rene Descartes derived a concept through the combination of algebra and geometry. This concept helps us to express the location of any object, point, or line in the coordinate system. However, there are various topics included in the coordinate system. In this tutorial, we will learn about the coordinate system, the cartesian plane, its components (ordinate and abscissa), and some basic formulas with solved examples. Coordinate System ...
Read MoreModulus Function
Introduction A modulus function can be used to find the magnitude of a number irrespective of its sign. In other words, a modulus function gives the magnitude of a number. A modulus function also determines the distance of a number from the origin. It always gives the non-negative value of the function. It is used in almost all the major scientific measurements. Modulus functions are represented as a=|x|. In this tutorial, we are going to learn about the functions, absolute(modulus) fFunction, graph of absolute function, properties of absolute function, rules of definite integration of absolute function, continuity ...
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