Match the reasons with the statement.Given: 12 - x = 20 - 5 x

To Prove: x = 2

1.
Division property of equality

A. 12 - x = 20 - 5 x

2.
Subtraction property of equality

B. 12 + 4 x = 20

3. Addition property of equality

C. 4 x = 8

4. given

D. x=2

Answers

Answer 1

Answer: To prove that x = 2 in the equation given, first, we write the given.
(4) Given: (A) 12 - x = 20 - 5x
Then, add 5x to both sides of the equation,
(3) Addition property of equality: (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
(2) Subtraction property of equality: (C) 4x = 8
Lastly, divide both sides by 4
(1) Division property of equality : (D) x = 2

Related Questions

Look at this sequence.95, 80, 65, 50,... Which function represents this sequence? A. a(n) = 110n - 15 B. a(n) = 15n + 80 C. a(n) = 95n - 15 D. a(n) = -15n + 95
2x+5y=16 -5x-2y=2Solve the following system of equations. Express your answer As an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
Find the range of the graph
How else can the ratio 14:1 be written? A. 1:14 B. 1.4 C. 1⁄14 D. 14⁄1
Is rolling an even number on a number cube an outcome or an event

Which equation is true for any value of y?A. 4y^2+2=(4y*4y)+2
B. 4y^2+2=(4y+y)+2
C. 4y^2+2=4(y+y)+2
D.4y^2+2= 4(y×y)+2

Answers

I'm 80% sure.
The Answer is: B

Because if I plugged all "y" with a the same number in the same postion they would equal the same.

For EX: 4*3+2+2=(4*3+2)+2
16 = 16

Hope this helps!

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

a)5x3
b)9x3
c)5x3 – 8x2
d)9x3 – 8x2

Answers

If you have to find the sum of the polynomials $(7x^3 - 4x^2) + (2x^3 - 4x^2)=7x^3-4x^2+2x^3-4x^2$ , then you have:

1. group all terms that have equal degrees

$7x^3+2x^3 \text{ and } -4x^2-4x^2$ .

2. Add the coefficients near terms of equal degree

7+2=9,

-4-4=-8.

3. Write the sum as $9x^3-8x^2$ .

Answer: correct choice is D.

(7x3 – 4x2) + (2x3 – 4x2) = 9x3 – 8x2

Which of the following figured is not a polygon ?

Answers

There are no polygons at all among your list of choices.

Please help me and this is very hard for me

Answers

I'm assuming you want help with numbers 7 and 8 because multiplication should be easy

so
7. rico average=15.5mph or 15.5/h
in 2.5 hours how far travel
15.5 in 1 hour
in 2 hours he will travel 2 times 15.5 miles
so in 2.5 hours he will travel 15.5 times 2.5 miles or 38.75

8. use estimation to show reasonable
15.5 can be rounded to 16
16 times 2 is 32
16 times 3 is 48
0.5 is half of 1 so the average is about the answer
(32+48)/2=80/2=40
he will travel about 40 miles (less since you rounded 15.5 up to 16)
so it is reasonable

What polynomial identity should be used to prove that 21 = 25 − 4

Answers

the complete question is

What polynomial identity should be used to prove that 21 = 25 − 4

A: Difference of cubes

B: Difference of Squares

C: Square of Binomial

D: Sum of Cubes

we know that

The difference of two squares is a squared number subtracted from another squared number

$(a^(2) -b^(2) )=(a+b)*(a-b)$

In this problem

then

$(5^(2) -2^(2) )=(5+2)*(5-2)$

$(5^(2) -2^(2) )=(7)*(3)$

$(5^(2) -2^(2) )=21$

$25-4=21$

therefore

the answer is the option

B: Difference of Squares

Choices:
A: Difference of cubes
B: Difference of Squares
C: Square of Binomial
D: Sum of Cubes

The polynomial identity used is B. DIFFERENCE OF SQUARES

21 = 25 - 4
21 = 5² - 2²

A fair number cube with sides labeled from 1 to 6 is rolled 20 times. the results of the simulation are shown in a dot plot. which dot plot models an unfair data-generating process?

Answers

The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

What is dot plot?

A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.

We have:

A fair number cube with sides labeled from 1 to 6 is rolled 20 times.

Total number on, a fair number of cubes = 6

So the dot plot can be shown as:

1:4, 2:4, 3:0, 4:4, 5:4,6:4

There is a face with 3 has not rolled.

Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

Learn more about the dot plot here:

brainly.com/question/21862696

#SPJ2

1:4 ,2:4 ,3:0, 4:4, 5:4,6:4 so basically the one with no dots or hasn't been rolled

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