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3 years ago

Which of the following statements shows the inverse property of addition?

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer:

Statements y + (-y) = 0 shows the inverse property of addition ⇒ 1st answer

Step-by-step explanation:

Let us revise some important notes

The purpose of the inverse property of addition is to get a result of zero (any number added to its opposite will equal zero)
The purpose of the inverse property of multiplication is to get a result of 1 (any number multiplied by its reciprocal will equal 1)
The additive identity is zero
The multiplicative identity is 1
The difference between the additive identity and the inverse property of addition that additive identity states that a number plus zero equals that number, and the inverse property states that the sum of a number and its additive Inverse is zero

In → y + (-y) = 0

∵ -y is the additive inverse of y

∵ The sum of y and its additive inverse = 0

- By using the definition of the inverse property of addition up

∴ Statements y + (-y) = 0 shows the inverse property of addition

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The formula is y=mx + b, or rearranged would be m= y/x -b/x.

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4 years ago

What is the relationship between sin(90 degrees) and sin(-90 degrees)

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Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

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therefore

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3 years ago

Freyda has a circular rug with a radius of 120 centimeters. The fringe on the outside edge of the rug needs to be replaced. What

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Answer:

The Fringe of the rug is 754 cm.

Step-by-step explanation:

Given:

radius = 120 cm

We need to find the fringe of the outside rug.

Solution:

Since the rug is in the circular form.

We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.

Then we will find the Circumference of the circle.

Circumference of the circle is given 2 times 'π' times radius 'r'.

framing in equation form we get;

Circumference of the circle = $2\pi r$

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3 years ago

Triangle ABC is shown below.

zhannawk [14.2K]

Answer:

Step-by-step explanation:

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4 years ago

Read 2 more answers

In the figure below , ABCD is a square . Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right tria

Lostsunrise [7]

Answer:

5/9 of the area of square ABCD is shaded

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

To find out what fraction of the area of square ABCD is shaded, divide the shaded area by the total area of square ABCD

step 1

Find out the area of square ABCD

The area of a square is

$A=b^{2}$

where

b is the length side of the square

we have

$b=(x+2x)=3x\ units$

$A=(3x)^{2}$

$A=9x^2\ units^{2}$

step 2

Find out the area of the 4 congruent right triangles

$A=4[\frac{1}{2}(x)(2x)]=4x^{2}\ units^2$

step 3

Find out the area of the shaded region

The area of the shaded region is equal to the area of square ABCD minus the area of the 4 congruent right triangles

$A=9x^2-4x^{2}=5x^{2}\ units^{2}$

step 4

Divide the shaded area by the total area of square ABCD

$\frac{5x^{2}}{9x^{2}} =\frac{5}{9}$

therefore

5/9 of the area of square ABCD is shaded

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3 years ago