supplementary angles

Angles are formed when we have two rays going in the different directions such that they have the same vertex. The pair of angles is called a supplementary angles, if we have the sum of the two angles equal to 180 degrees.  Thus simply if we say that the given angle is x degrees, then the supplementary of the given angle will be 180 – x degrees. (want to Learn more about supplementary angles, click here),

So if we have any angle say 110 degrees, then the supplement of the given angle 110 will be 180 – 110 = 70 degrees.

 Thus we say that the  supplementary of 50 degrees will be 180 – 50 = 130 degrees.

 Now if we want to know the measure of the angle which is equal to its own supplementary, then we will proceed as follows :

 Let the angle measure be x, then its supplementary angle will be 180 – x degrees.

 Now if we say that  both the angles are of the same measure, then we write it mathematically as follows :

X = 180 – x

On adding x on both the sides we will get :

X + x = 180 – x + x

Thus the above given equation becomes :

2 * x = 180 degrees

Now we will divide both the sides of the equation by 2 and we get :

2 * x / 2 = 180 / 2

Or x = 90 degrees.

Thus we say that the angle 90 is such that it is equal to its own supplement angle.

In order to learn about How to Find Slope of a Line, we can take the help of online math tutorials.  icse guess papers 2013 are also available online, which can guide the students to understand the  concept and the patterns of the question papers in the fore coming  board examinations and In the next session we will discuss about  isosceles triangle.

Parallel Lines

Before going to discuss anything about the parallel lines we should first have an understanding of the term parallelism. The term parallelism is generally used in the geometry which is referred as a property in the space of the Euclidean of 2 or more than 2 lines or the planes or any combination of lines and planes.

We can say that in a plane any 2 lines are said to be parallel if their intersection does not happen or if they do not touch each other at any point. This definition can also be frames in another way as follows. The lines are said to be parallel when their plane is the same and they exist at the same distance in the complete length of the lines. By this we mean that it does not matter at all that how long we are extending the lines, if they are parallel then they will not meet ever. (Know more about Parallel Lines in broad manner, here,)

Now let us discuss about how we show any two parallel lines. For showing that any 2 lines are parallel we make use of the parallel sign which is represented by ||. Thus if we write EF || GH then it means that the line EF is parallel to the line GH.

Let us now pay some attention on the construction of the parallel lines. Suppose we are given a line say x and a point p and we have to construct a line y parallel to the x through the point p. We can make this line y by considering the fact that it should have the same distance from the line x everywhere. There is another way to draw the line y that is we have to consider a random line passing through the point p and crossing the line x at point q. Then we have to take this point q to the infinity.

In order to get more help on the topics: Parallel Lines, College Algebra Problems, icse board papers 2013, you can visit our next article and In the next session we will discuss about supplementary angles.

What are Lines in Geometry

In the previous post we have discussed about Perpendicular Lines and In this blog we are going to discuss about Lines in mathematical world. As we know that slope of a line is generally the measure of an angle of a given line from the x-axis or Y-axis. Here we are going to deal with line in the coordinate plane geometry. In coordinate plane the two lines are present which are vertical and horizontal line. The line whose x- coordinate remains unchanged and y –coordinate changes according to the given values is known as vertical line. A line which move up and down and that line is also parallel to the y – axis of the coordinate plane is known as vertical line. There is no slope defined for vertical line. Equation of a vertical line is given by: x = s. (want to Learn more about Geometry, click here),

A line whose y- coordinate remains unchanged and x – coordinate changes according to the given coordinates is known as horizontal line. A line move straight left and right and also parallel to the x – axis of the coordinate plane is known as horizontal line. The slope of a horizontal line defined as zero. The equation of a horizontal line is given by: Equation of a line is y = t; here the value of 'y’ represents the coordinates of any point on the line and the values of ‘t’ represents the line which crosses the x – axis. Let’s see how to solve equation of Lines in the Coordinate Plane. In mathematical geometry math problem solving is a tool which is used to set a given procedure and see what and when these given procedure should apply. If we want to identify the procedure then it is necessary to know the situation of problem. Before entering in the examination hall please go through the iit sample papers, it helps to solve the problem very easily. This is all about lines and other related topics.

Perpendicular Lines

Hi friends, here in this blog we are going to understand an important topic that is Perpendicular Lines. If we have two lines and these lines make the angle of 90 degree with each then the lines are said to be Perpendicular Lines.

Let we have two lines then the slope of one line is negative to the other line. When the slope of one line is ‘s’ then the slope of other line is = -1 / s. let's see how we construct perpendicular lines in geometry.

To plot the perpendicular lines we have to follow some steps, we have to discuss each step one by one.

Step1: To graph perpendicular lines first of all we take a line of any length.

Step2: Then we have to put a point on the line and the point is named as ‘P’.

Step3: For the construction of perpendicular lines we need compass.

Step4: Then using the compass we make an arc on both side of point ‘P’ and both the arc named as ‘U’ and ‘V’.

Step5: Now we have to put the compass on point ‘U’ and measure the length of compass greater than the point ‘P’.

Step6: Then from point ‘U’ make an arc on the upper side of a line.

Step7: Then with the same length we have to make an another arc from point ‘V’ to the upper side of a line. Both arc cross each other.

Step8: Then using pencil we have to draw a line which meets at the cross point.

And we get another line which is perpendicular to the given line and that line makes exactly 90 degree angle to the other line.

We get this figure when we follow all the above steps:

For the pre algebra practice we have to study the different topics in algebra which are number, fractions, factoring, mixed etc. To get good result please focus on sample papers for cbse board and In the next session we will discuss about What are Lines in Geometry.

How to work out gcf calculator

In the previous post we have discussed about How to use Least Common Multiple Calculator and In today's session we are going to discuss about How to work out gcf calculator. Greatest Common Factor or Highest Common factor that is abbreviated as GCF, provides the largest numerical value that divides the other numbers with zero remainder .There are some methods of solving the GCF are as division method or factorization method .GCF calculator is an online tool that helps in calculating the factors accurately.  (know more about gcf calculator , here)
There are some examples for defining the GCF calculations are as follows:
Number 24 that is also denoted as 24 = 12 * 2 = 8 * 3 = 4 * 6, that denotes form of product of two integers. If we talk about the divisor of 24 then these are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 that divides the 24 and 1 , 2  , 3 , 4 , 6 , 9 , 12 are some divisor of the value 36. There are some common divisor are 1 , 2 , 3 ,6,12 and among these factors greatest common factor is 12 .So the GCF of the 24 and 36 is 12. Finding the gcf with the help of gcf calculator will be very easy process. For finding the gcf with the help of gcf calculator user should enters the list of integers for which they want to find the gcf that is separated by commas or spaces .It will be written as gcf( 36 , 24 ) = 12. For reduce the fraction to its lowest terms we can use gcf and if both numerator and denominator have the common gcf if 14 / 35 = 7 * 2 / 7 * 5 = 2 / 5 as an example of gcf( 14 , 35 ) = 7. In this example gcf calculator define the smaller value as the denominator and higher value as the numerator.
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How to use Least Common Multiple Calculator

In the previous post we have discussed about How to use Geometric Mean Calculator and In today's session we are going to discuss about How to use Least Common Multiple Calculator. To understand about the least common multiple calculator, we must first understand the meaning of the multiples. If we write the multiples of a number 5, we say that the numbers 5, 10, 15, 20, 25, 30, 35 . . . . are all the multiples of 5. It simply shows that the numbers which are completely divisible by the given number is it’s multiple.  So we say that the number 10, 15, 20 . . .  are completely divisible by 5, so they are the multiples of 5.  Now to learn about the least common multiples of the given two or more numbers, we say that the common multiples of the factors of the given numbers can be picked and then they are multiplied to get the desired number. Here if we need to find the least common multiple of the given numbers says 25 and 45, we will first write the prime factors of the two numbers and then we will pick the common factors and find their product to get the least common multiple of the given numbers. So we proceed by writing the factors of  25 and 45 as follows :
25 = 5 * 5 * 1
45 = 3 * 3 * 5 * 1
 Here we find the common factors of the two numbers as 5 and 1, so we get the least common multiple of 25 and 45 as 5 * 1 = 5 Ans. (know more about Least common multiple, here)
To understand more about least common multiple calculator, the online help is always available to practice on the required worksheets.
  We can learn about How to Find Circumference of the circle by the online math tutor, which is always available on the internet.  To know about the West Bengal Board Syllabus, we can visit its website and know the contents of the curriculum that are being covered in the syllabus.

How to use Geometric Mean Calculator

In the previous post we have discussed about Operations With Integers and In today's session we are going to discuss about How to use Geometric Mean Calculator. In mathematics whenever we study about series then geometric progression is one of the most complicated series. If a, b, c are in geometric progression then b/a = c/a =r here  r is called a common difference and its value will be same for all the elements of geometric progression.
If the value of a =2 , b=4 ,c=8 ,then according to geometric progression b/a = 4/2 , c/a = 8/4
now we get common difference r = 2 . If we have to extend the terms in geometric progression then we have to multiply last term by common difference. As in the above example 8 is last term and if we multiply it by common difference two then we will get 16 that will be the next term of the series.
If we have two numbers a and b and we are asked to calculate the geometric mean then it will be
G= √ab here G is called geometric mean for all the elements. Now we  will see the How we calculate the geometric mean. Suppose we have a two numbers first number a= 2 and another number is b= 8 and these numbers are in G.P then geometric mean will be G=√2*8 = √16 = 4 , in this way we get the geometric mean G= 4. If we talk about geometric mean calculator then it always ask for two values, the values should be in geometric progression, firstly it will multiply two value then it will calculate square root. In this way we can calculate the geometric mean of any two numbers with the help of geometric mean calculator.
Boolean algebra is one of the most important topics in CBSE syllabus so If we want score good marks you should go through Boolean algebra and would read the cbse class 12 sample papers.