Explain how deductive reasoning is used to prove an argument.

1 answer:

3 0

Deductive reasoning is what is proven and what you already know for sure. Example: there are 2 ants. There is 1 ant next to the 2. There are 3 ants total. (Rules of addition)

So you don't have to solve any problems to use deductive reasoning, unlike inductive reasoning, which is not proven
Example of inductive reasoning: there are lots of girls in my class. So there are probably lots of girls in the other classes too. You don't know that for sure.

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The simplest form of the decimal 0.525 as fraction is

boyakko [2]

$0.525 = \frac{525}{1000} = \frac{21}{40}$
Divide 525/1000 by 25

7 0

3 years ago

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Korvikt [17]

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

4 0

3 years ago

Plot the vertices (-2, -8), (-2, 2), and (8, 2).

charle [14.2K]

Answer:

(8, -8)
100 square units

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

(A+C)/2 = (B+D)/2

D = A + C - B

D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

D = (8, -8)

The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

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<em>Comment on side lengths</em>

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.