IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION

A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY

1. If ×=4, then × + 2=7
....__.....__
2.AB = AB

3. If × = y, Then 2× = 2y

4. If 9 = 6+3, then 6+3 =9

Please answer correctly do not concentrate wrong and rely only on the pontos:)​

Answer:

y - 2 = 6 (x - 1)

Step-by-step explanation:

Slope intercept form equations look like this:

y - y1 = m (x - x1)

***m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Using the point (1,2), we know that x1 = 1 and y1 = 2. Let's sub these values into the slope intercept equation:

y - 2 = m (x - 1)

To complete this equation, we need to find slope. Pick out another point on the graph and plug into the slope equation. We can use point (2,8), where (1,2) = Point 1 and (2,8) = Point 2.

[tex]\frac{y2-y1}{x2-x1}=\frac{8-2}{2-1} =\frac{6}{1} =6[/tex]

Now that we know m = 6, let's plug that back into the original equation to get our final answer:

y - 2 = 6 (x - 1)            

I hope this helps!

Answer:

50/529

Step-by-step explanation:

Total: 5 + 10 + 8

= 23

P(A and B) = P(A) x P(B)

P(A and B) = 5/23 x 10/23

P(A and B) = 50/529

Answer:

Step-by-step explanation:

Given,

Let's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:

[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]

[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]

Hence,

[tex]~[/tex]

[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]

The area is measured in square units because it is the product of two units which gives square unit.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a rectangular park is gotten from the productiif the width and length, hence:

Area = length * width

The area is measured in square units because it is the product of two units which gives square unit.

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Answer:

The number he thought of was 13

Step-by-step explanation:

Revers the problem

3.5 * 3 = 10.5

10.5 - 4 = 6.5

6.5 * 2 = 13

The number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.

Let the number be x:

From the question:

Revers the problem

x =(3.5×3 - 4)×2

x = (10.5 - 4)×2

x = 6.5×2

x  = 13

Thus, the number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.

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Answer: 14085 m^3.

Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height.  The equation is below:

l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.

The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters.  Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.

9 x 5 x 313 = 14085.

Therefore, 14085 m^3 is your answer.

Have a great day! :)

Answer:

Step-by-step explanation:

16/3 / 20/9 = 16/3 x 9/20= 12/5 which is 2 2/5e

Hey there!

Let's make an equation

=> 9h = 144

{ Make h the subject of formula}

=> 9h = 144

=> 9h/9 = 144/9

=> h = 144/9

=> h = 16

Answer: 0.29

Step-by-step explanation:

OQ is the side opposite angle P, QP is the side opposite angle O, and PO is the side opposite angle Q.

This means that tangent = opposite/adjacent, the tangent of angle O is the opposite side, QP, over the length of the adjacent side, OQ. (It cannot be PO since that's the hypotenuse)

This means that the tangent of O is 7/24, which is about 0.29

1) The x-axis represents the energy ([tex]E[/tex]), in joules. The y-axis represents the amplitude ([tex]x[/tex]), in milimeters.

2) The curve depicts an monotonous decrecent rate of change.

3) The amplitude is directly proportional to the root square of the energy.

In this question we have a relationship between two variables, in which we must apply principles of functional analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

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Answer:

11: x=60   12:x=27

Step-by-step explanation:

For the first one, we know that all triangle angles add up to 180, so we take 180 and divide by 3 to get each of the angles and we get 60. For the second one, like I said earlier, all triangles add up to 180 so you add all the angles together and make them equal 180. You simplify and you get x=27

(also i changed my answer because I double checked it and it was wrong

Step-by-step explanation:

X + Y = 90

Y = 24

X = 6x

X + 24 = 90

X = 66

x = X/6 = 66/6 = 11

Answer:

146.7

Step-by-step explanation:

The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.

Answer:

[tex]6.5 \times 12.4 = 40.3 \: m \\ \frac{80.6}{40.3} = 2[/tex]

Answer:

624.396

Step-by-step explanation:

I did the math myself XD

Answer:

4, 3, 4

Step-by-step explanation:

The unsimplified ratio of squares to triangles is 6:8, which simplifies to 3:4. That means, for every 3 squares, there are 4 triangles

As stated above, the simplified ratio of squares to triangles is 3:4

Answer:

Step-by-step explanation:

There are 6 angles, 3 pairs of vertical angles that sum to 360°.

Set below equation and solve for x:

Opposite angles are equal and linear pairs are supplementary

Answer:

m<A = 30 degrees.

Step-by-step explanation:

m < C in triangle ABC = m < C in EDC so

x + 13 + 42 + x + 13 = 180

2x = 180 - 13 - 13 - 42

2x = 112

x = 56.

So m < C = 56+13 = 69.

m < B = m < D = 81

M < A = 180 - 69 - 81

= 180 - 150 = 30.

Answer:  Dilated and then translated

Step-by-step explanation:

Answer:

dilated and then translated

Step-by-step explanation:

Rectangle A has been enlarged (dilated) and then translated up and to the right.

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

Answer:

5(chore payment)

Step-by-step explanation:

since we dont know how much money the chore is worth it would be 5 times the money

Answer:

Step-by-step explanation:

25% of classrooms is 3, find 100%

Since 100% is 4 times 25%, the corresponding number will also be 4 times greater:

Answer:

x=140(corresponding angle)

Corresponding angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure is given,

Line m and Line n are parallel.

t line is the transversal line on the two parallel lines, line m and line n.

We see that,

140° angle on line m is corresponding to the x° angle on line n.

Corresponding angles are equal.

So,

140° = x°

x° = 140°

Thus,

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

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The given dimensions of the, Check Box, bag, suitcase, and watermelons, we have;

First part;

Volume of the Check box is 2,772 in.³

Volume of the black bag is 1728 in.³

Volume of the blue bag is 2700 in.³

Second part;

Third part;

Volume of the Carry-on baggage Check box, V_c can be found as follows;

V_c = 22 × 14 × 9 = 2772

Volume of the black bag, V_b, can be found as follows;

V_b = 18 × 12 × 8 = 1728

Volume of the blue bag, V_bl, can be found as follows;

V_bl = 18 × 15 × 10 = 2700

Given that the height, depth and width of the black bag are smaller than the height, depth and width of the check box

Second part;

Volume of the smaller suitcase is found as follows;

V_s = 25×8×9 = 1800

Volume of the bigger suitcase is found as follows;

V_b = 75 × 20 × 18 = 27,000

The number of times, the bigger suitcase is larger than the smaller suitcase is therefore;

n = 27,000 ÷ 1809 = 15

Third part

The volume of the watermelon = 720 in.³

Which gives;

10 × 9 × H = 720

H = 720 ÷ (10 × 9) = 8

To maximize the number of watermelons, we have;

The length, 10, is a factor of 20

The width, 9, is a factor of 18

Therefore, we have;

Two rows of watermelon, and two layers of watermelon

Number of watermelon in a row is therefore;

R = 75 ÷ 8 ≈ 9

Maximum number of watermelon is therefore;

Max_n = 9 × 2 × 2 = 36

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The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².

The figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:

Surface area = bh + l(p)

where

Therefore,

p = 6 + 6 + 6 = 18 cm

l = 7 cm

b = 6 cm

h = 5.2 cm

Therefore,

Surface area = (6 × 5.2) + 7(18)

Surface area = 31.2 + 126

Surface area = 157.2 cm²

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Answer:

[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]

Step-by-step explanation:

It is necessary to find the factors and solve them using their expressions in order to solve this problem.

7*4=28

3*4=12

5*4=20

Rewrite the problem down.

5*4x+3*4y+7*4

Solve.

Common term of 4.

4(5x+3y-7)

I hope this helps you! Let me know if my answer is wrong or not.

[tex]========================================[/tex]

In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)

In this case, the common term is

4

Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)

So here, the G.C.F. is 4.

Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.

So divide all the terms

5x

3y

-7

Put 4 outside the parentheses:

4(5x+3y-7)

Is the trinomial in its simplest form? Sure!

Hence, we are done! :)

[tex]================================[/tex]

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)

Answer: a prediction of the number of hot cocoas sold when the temperature is 0F

Step-by-step explanation: i did it on delta math

The line's y-intercept represent ''Number of hot cocoas sold''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chloe has a part-time job at an ice skating rink selling hot cocoa.

She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Now,

Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Hence, By the graph we have;

The line's x - intercept represent ''Temperature''.

And, The line's y-intercept represent ''Number of hot cocoas sold''.

Thus, The line's y-intercept represent ''Number of hot cocoas sold''.

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