1. From the information given in the triangles, are these triangles always, sometimes, or never congruent?
A. always
B. sometimes
C. never
D. cannot be determined

Answer:

. c. Division Rule and Power of a Power Rule

Step-by-step explanation:

(x^3/x/x)^3

=(x³/x/x)³

First we need to solve the brackets. Anything written in the fraction form a/b/c can be written as a*c/b.

Similarly (x³/x/x)³ can be written as (x*x³/x)³

Solving further the x can be cancelled by x leaving x³ behind.

(x³)³

Now applying the Power of a Power Rule

x³*³= x⁹

First the division rule and then the power rule is applied.

Answer:

y = 45/2

Step-by-step explanation:

Given:

y = 4x - 1 1/2

find the value of y when x=6

y = 4x - 1 1/2

Substitute x = 6 into the equation

y = 4(6) - 1 1/2

y = 24 - 1 1/2

** 1 1/2 = 3/2

y = 24 - 3/2

y = (48-3) / 2

y = 45/2

y = 45/2 when x = 6

 (x-3)² = 12 (y – 6)  is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.

A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. The topic of conic sections includes parabola as a key component, and all related parabola topics are discussed. a plane curve produced by a point shifting such that its separation from a fixed point equals its separation from a fixed line: junction of a plane parallel to an element of a right circular cone with the cone. : a bowl-shaped object (such as an antenna or microphone reflector)

given

focus (3,9) and the vertex (3, 6)

general equation of parabola = (x - h)2 = 4a (y - k)

a = |y2 - y1| = | 9 - 6 |

a = 3

so

(x - 3 )[tex]^{2}[/tex] = 4 * 3 ( y - 6 )

= [tex](x-3)^{2} = 12 ( y - 6 )[/tex]

 (x-3)² = 12 (y – 6)  is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.

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Answer:

Absolute Value

Step-by-step explanation:

|-4| is equal to 4 because Absolute Value is the distance from zero to a number on a number line. The vertical bars "||" in Absolute Value convert the number to it’s positive.

Examples:

|-12| = 12  

|5| = 5

Answer:

65

Step-by-step explanation:

Method 1(Algebra):

m - 14 = 51

Add 14 to both sides of the equation.

m - 14 + 14 = 51 + 14

Combine like terms.

m = 65

Method 2:

m - 14 = 51

Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)

m = 51 + 14

Combine like terms.

m = 65

Bromine is a diatomic molecule since it is typically found in groups of two.

What is the symbol to represent a chemical compound?

An element's one- or two-letter identification is known as a chemical symbol. O for oxygen, Zn for zinc, and Fe for iron are a few instances of chemical symbols. Symbols always start with a capital letter. Lowercase letters are used for the second letter in symbols with two letters.

A subscript appears after the atom to indicate how many of each kind there are. There is no number written if there is just one atom. The number is given as a subscript after the atom if there are multiples of a particular kind of atom.

Br represents the bromine. Bromine is a diatomic molecule and always needs to be bounded to something. Thus it is bounding to itself.

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3 and -3 are additive inverses because 3 + (-3) = 0.

Therefore, -3 is the additive inverse of 3.

Additive Inverse:

The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.

If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.

We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.

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Answer: 8

Step-by-step explanation: Based on the given conditions, formulate 25/5+3 Reduce  the sum or difference: to 8 therefore the answer is 8

Answer:

down below

Step-by-step explanation:

The quotient means the total amount that comes from dividing two things. In this case, the problem is asking for 25 and 5 to be divided. 25 divided by 5 is 5. You can check this by multiplying 5 and 5 to get 25. So, you know it's right. Now, take 5 and add 3 to it. 5 + 3 = 8. So, the answer is 8.

Hope this helps! :)

Christopher sold 20 cups of large 20-ounce cups of lemonade

outside his house.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade.

Small cups sold is x and the number of large cups sold is y.

Each small cup holds 10 ounces of lemonade and each large cup holds 20 ounces of lemonade and he sold 800 ounces.

Therefore,

10x + 20y = 800...(i)

He also sold twice as many small cups as large cups.

Therefore,

2y = x...(ii)

10(2y) + 20y = 800.

20y + 20y = 800.

40y = 800.

y = 20.

So, He sold 20 cups of large lemonade.

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a. The number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is 6.

b. The inches of bread that would be left over is zero.

The information given an be solved by Illustratingnut with an expression. This is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Since Mei needs to cut a 12-inch loaf of bread into slices that are inch thick, the number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is:

= 12 / 2

= 6

There'll be no left over

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Answer:

Step-by-step explanation:HI

You got answer already?

Just , look down as in rectangle A" (-6,1)

B"(-1,-3)

C"(-4, 4)

And you have wrong coordinates for C (-4,-4)

Answer:

multiply opposite side and the answer is ready now because check your soulation

The expression for the perimeter of a square will be p = 4s.

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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Answer:

9. not all of them are, so false

10. true

Step-by-step explanation:

Answer:

True and true

Step-by-step explanation:

I think this is symmetry, but if it’s not I’ll change my answer

Answer:

Diagram D.

Step-by-step explanation:

Answer:

Its the fourth diagram

Letter D

HOPE I HELPED! :)

Answer:

x ≈ 9.7

how mny decimal places do u need?

Step-by-step explanation:

3( x-3 )= 20

>3x - 9 = 20

>3x = 29

> x= 9.66666667

Answer:37.68

Step-by-step explanation:

given:

diameter of cylinder =4in.

radius of cylinder=2in.

height of cylinder =3in.

Volume of cylinder=πr^2h

. = 3.14×2×2×3

. = 37.68 in Cube

Answer:

113.1

Step-by-step explanation:

If π= 3.14 And The Equation For This Type Of Problem Is V=πr2h then all you do is do 3.14 times 9 times 4

Where Your Multiplying 3 To Square Of 2 To Get 9, So Take that 3.14 Multiply It By 9 And Then 14, Thus the answer is 113.1

Hope This Helps

Answer:

x = 11

Step-by-step explanation:

The two angles are consecutive interior angles so they add up to 180

13x -26 + 5x + 8 = 180

13x + 5x -26 + 8 = 180

18x - 18 = 180
18x = 180 + 18

18x = 198

x = 11

Answer:

Heres my notes

Step-by-step explanation:

Answer:

31.42

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 31.4

Step-by-step explanation:

Answer:

x = 40°

Step-by-step explanation:

∠ FEC and ∠ ECD are same- side interior angles and sum to 180° , that is

150° + y = 180° ( subtract 150° from both sides )

y = 30°

∠ BCD and ∠ ABCare alternate angles and are congruent , so

x + y = 70° , that is

x + 30° = 70° ( subtract 30° from both sides )

x = 40°

Answer:

There's no real solution to your question but thats what I got

[tex] - 2 + \sqrt{3} \: \: \: and \: - 2 - \sqrt{3} [/tex]

Answer:

The probability of picking a green is 0.4

Step-by-step explanation:

Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1

Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1

Thus, the probability of selecting each individual colors add up to 1

since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1

we have the probability of picking a green as;

1 - 0.25 - 0.15 - 0.2 = 0.4

Answer:

432ft^2

Step-by-step explanation:

24/2=12

3 x 12 x 12=432

Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.