Introduction to Cyclic Quadrilateral.

A Quadrilateral whose all four vertices lie on the circumference of the same circle is called a Cyclic Quadrilateral. As all the vertices are on same circle, so they are called Concyclic. Thus, a Cyclic Quadrilateral can be circumscribed. The circumcenter may or may not lie in the interior of the Quadrilateral

Sample problems on cyclic Quadrilateral.

Let me help you go through few solved problems on Cyclic Quadrilateral.

Problem: 1

The Cyclic Quadrilateral ABCD,
Solution
In the Cyclic Quadrilateral ABCD,
80 + Similarly, 120° + Hence,
Problem: 2

ABCD is a Quadrilateral circumscribed by a circle with center O. The diagonal AC is also the diameter of the circle. Find
Solution:

Since AC is the diameter
therefore, Now, 90° + Hence,

what is reflection

Introduction:
In this article let me help you on what is reflection. In mathematics, the topic (rotations, transformations, reflections) which deals with the shapes, figures, lines and planes is known as geometry. The change of shape’s size, structure and angles known as transformation. These types of changes in shapes are generally known as geometric transformations. This geometric transformations gives new dimension to the original images. Due to transformation, the original image is transformed to new dimension.

Reflection:
Reflection is one kind of transformation. Reflection means original figures is flipped or reflected along the axis of reflection. Commonly reflections mean, reflecting the original figure in opposite direction. This could also help us on bar graphs. In reflection, the heights, width, size and angle of the original image does not change in the reflected image. Reflection is also called isometric transformation.

how to divide decimals

Introduction of how to divide decimals:
Decimal number is a number. It must divided in to two parts. It’s known as whole number part and a fractional part. The dot (.) is calling the decimal point. Here we are going to learn about “how do divide decimals works”

Example: 841.125.
Here the 8 represent 800.
4 represent 40.
1 represents 1 unit. This could also help us on independent variable definition
1 represent tenth place.
2 represent hundredths Place.
Second 5 represent thousandths place.

Volume of a Cube

Introduction to Volume of a Cube

DEFINITION OF A CUBE

A solid bounded by six square faces is called a cube.

PROPERTIES OF A CUBE

A cube is a 3 dimensional figure as it has three parameters namely length, width and height which are equal.

Edge: The intersection of two faces is a line known as edge. A cube has eight equal edges.

Vertex: The common point of two or more line segment is known as vertex. A cube has eight vertices of equal measure.

Volume: Volume is the measure of the space occupied by a 3 dimensional figure.

Unit of volume: Along with the magnitude of volume of a substance, we also require a unit to represent the volume. This could also help us on what is independent variable
The volume of the space region formed by a cube of edges 1 cm long is called a cubic centimeter and is written as 1 cu. cm or 1 cm. Similarly other units of volume can be metre or m, decametre etc.This also helps us on difference of cubes

Help with quadratic graph

Introduction for linear and quadratic graphs:

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.

The graph of a quadratic function is a parabola whose major axis is parallel to the y-axis. The expression ax² + bx + c in the definition of a quadratic function is a polynomial of degree 2 or second order, or a 2nd degree polynomial, because the highest exponent of x is 2.I. This could also help us on delta symbol

f the quadratic functions is set equals to zero, then the result is a quadratic equation. 

How to do long multiplication

Example for long division:

In this article let me help you with how to do long multiplication

Example for long division:
Divide 69 by 3 using long division method.
Step 1: First we should change the way and write the problem. Then we take the first number from the dividend and do the division process.
3) 69 (2
Here in this step we should analyze how many times 3 will go to six. Here when 3 is multiplied with three we get the answer 6.
Step 2: Then we multiply 3 with 2 we get 6 then we should subtract this answer with the first digit of the dividend.
3) 6 9 (2
- 6
_____
0
Step 3: In this step we bring the next digit of the dividend down i.e. we bring 9 to down which is written as, This could also help us on how to find a percentage of a number
3) 6 9 (2
- 6
_____
0 9
Step 4: Here we see that with which the number 3 gives the answer 9. Then we should do the multiplication.
3) 6 9 (23
- 6
_____
0 9
Step 5: Then we subtract the second digit of the dividend with the 9.
3) 69 (23
- 6
_____
0 9
9
______
0 0
Hence we get the answer 23. This is the process of long division.

Divide 69 by 3 using long division method.

Step 1: First we should change the way and write the problem. Then we take the first number from the dividend and do the division process.

3) 69 (2

Here in this step we should analyze how many times 3 will go to six. Here when 3 is multiplied with three we get the answer 6.

Step 2: Then we multiply 3 with 2 we get 6 then we should subtract this answer with the first digit of the dividend.

3) 6 9 (2

- 6

_____

0

Step 3: In this step we bring the next digit of the dividend down i.e. we bring 9 to down which is written as,

3) 6 9 (2

- 6

_____

0 9

Step 4: Here we see that with which the number 3 gives the answer 9. Then we should do the multiplication.

3) 6 9 (23

- 6

_____

0 9

Step 5: Then we subtract the second digit of the dividend with the 9.

3) 69 (23

- 6

_____

0 9

9

______

0 0

Hence we get the answer 23. This is the process of long division.

Help with 6th grade math test

Introduction to math problem solving:
In this section let me help you on 6th grade math test. Mathematic is the study of quantity, structure, space, and change. Mathematician seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. In mathematics, student learn about division of fractions and decimals. Exponents are also generally introduced, and student learn about the properties of circles and polygons, and the measurement of angles in degrees. Pre-Algebra and Algebra I and are taught in some schools, as honors courses.

Example Problems for 6th Grade Math Problem Solving:
6th grade math problems solving – Example: 1
Simplify 21(w-5) + 8w (w-5)
Solution:
21(w-5) + 8w (w-5)
Here we can take w-8 as same from both 21(w-5) and 8w (w-5)
Then the expression become as, (w – 5)(21 + 8w)
Answer: 21(w-5) + 8w (w-5) = (w – 5)(21 + 8w). This could also help us on math 10