To which set or sets does the number 8.25 belong

Rational sets also known as ratios

The number 8.25 is a rational number and a real number.

Step-by-step explanation:

Consider the provided number,

8.25

Natural numbers: The natural numbers are 1, 2, 3, 4, 5,…

Whole number: Whole numbers are the set of natural numbers but starts with 0. i.e. 0, 1, 2, 3, 4, 5,…

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …

Rational number: A number   is said to be rational, if it is in the form   of p/q. Where p and q are integer and   denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.

Irrational   number: A number is irrational if it cannot   be expressed be expressed by dividing two   integers. The decimal expansion of   Irrational numbers are neither terminate nor   periodic.

Real numbers: All rational and Irrational   numbers are called real number.

The provided number is not a natural number, whole number and integer as it contains decimal part.

Now, the provided number 8.25 can be written as:

8.25=825/100

Thus, the above number is in the form   of p/q that means the proivded number is a rational number.

Here the provided number is a rational number so it can't be an irrational number.

The provided number is a real number because all rational numbers are real number.

Hence, the number 8.25 is a rational number as well as it is a real number.

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it