15. Write a two-column proof.
GIVEN: m/GFI = 128°
PROVE: m/EFI = 40°

According to the given statement the  fraction of pizza did Billy eat for a snack = 1/12

A fraction is a subset of a bigger whole. In arithmetic, the number is expressed as a quotient, which represents the numerator divided by that of the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in both the numerator and the denominator.

A fraction, often known as a fractional number, is used to represent a portion of a whole. Fractions are made up of two numbers: a numerator (the number above the line) as well as a denominator (which is below the line). The denominator is the number of equal pieces that anything is divided into.

Billy had = 2/3 of pizza

later he ate = 1/4

the pizza did Billy eat for a snack =

Now ,

total size of pizza be  = 1

Billy had = 2/3 of pizza

later he ate = 1/4

the pizza did Billy eat for a snack = total size of pizza -(2/3 of pizza + later he ate)

                                                        = 1 - (2/3 + 1/4)

                                                        = 1 - (11/12)

                                                        = 1/12

the pizza did Billy eat for a snack = 1/12

To know more about fraction visit:

https://brainly.com/question/21327447

#SPJ9

Answer:

19

Step-by-step explanation:

PEMDAS is your bff here:

5 + 2[(4 + 2)^2 – (3^3 + 2)]

Do the parenthesis first (yes i do solve for 3^3 and add the 2 to it, it makes it quicker)

5 + 2[(6)^2 - 29)]

now do exponents

5 + 2 (36 - 29)

subtraction

5 + 2(7)

multiple cation

5 + 14

And add those together to get 19

we get that 6.255 × 10¹⁰  larger than 1.5 × 10⁸ by 417 times.

We are given two expressions:

6.255 × 10¹⁰ and 1.5 × 10⁸

We need to tell that how much times is 6.255 × 10¹⁰  larger than 1.5 × 10⁸.

We will do this with the help of division.

So, we get that:

= 6.255 × 10¹⁰  ÷ 1.5 × 10⁸

= 6.255 × 10¹⁰⁻⁸  ÷ 1.5

= 6.255 × 10²  ÷ 1.5

= 625.5 ÷ 1.5

= 417

Therefore, we get that 6.255 × 10¹⁰  larger than 1.5 × 10⁸ by 417 times.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ9

The net change between the given values of the variable is;  - 3x² - 6xh - 3h² + 23

We are given the function;

f(x) = 5 - 3x²

x = 3

x = 3 + h

The net change is just looking for the difference between f(3) and f(3 + h). Thus, we will evaluate the function at x = 3 and x = 3 + h and then calculate f(3 + h) - f(3).

f(3 + h) = 5 - 3(x + h)²

= 5 - 3x² - 6xh - 3h²

f(3) = 5 - 3(3)²

f(3) = 5 - 27

f(3) = -18

Net Change = f(3 + h) - f(3)

=  5 - 3x² - 6xh - 3h² + 18

= - 3x² - 6xh - 3h² + 23

Read more about Net change of Function at; https://brainly.com/question/24557112

#SPJ1

Check the picture below.

Answer:

2.5

Step-by-step explanation:

The difference between the Y axis is 2, and the difference between the X axis is 5 so you divide 5 by 2 to get 2.5

The missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.

_______________________________

It is given that Elsa used the multiplication table below to write ratios that are equivalent to 12-4 and one number is missing from the given ratios, we need to find that missing number.

Now, first of all let us understand what are equivalent ratios;

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Furthermore, in the given question we are given one ratio that is;

=> 12:4 which can also be written as,

=> 3:1

Now, let us assume that the other ratio is x:y than;

=> x:y

So, let us compare both the ratios as they are equivalent ratios;

=> x:y = 3:1

To calculate the other ratio, we need to divide it by 12 so that we get the equivalent ratio;

=> x/12 = 12/4

=> x/12 = 3

=> x = 12 × 3

=> x = 36

So,

=> 36/12 = 12/4

=> 3/1 = 3/1

Therefore, the missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.

To know more about this topic, click here:

https://brainly.com/question/16799371

#SPJ9

Check the picture below.

notice, sides are equal, opposite sides are perpendicular to their counterparts.

His electric bill for the month of April is $76.4

The given parameters are

April 1 = 7,329 kw-hr.

May 1 = 8,284 kw-hr

Rate = $.08 per kw-hr

His electric bill for the month of April is calculated as

Bill = (May 1 - April 1) * Rate

So, we have

Bill = (8,284 - 7,329) * .08

Evaluate

Bill = 76.4

Hence, his electric bill for the month of April is $76.4

Read more about electric bill at

https://brainly.com/question/14277272

#SPJ1

Answer:

Table A

Step-by-step explanation:

Note that the curve flattens out between 4 and 6 s

So the average speed is 0( the train is standing still) in the time interval 4-6 s

From the tables we can see that (A) and (D) are the only two tables that have average speed of 0 for 4-6 second interval. So let's eliminate the other two(B and C) and focus on these two

Looking at tables A and D we can see that the average speed in the 0-2 interval is 1.0 for both

So let's focus on the only entry where the tables show different values ie the interval 2-4 = 2s)

Looking at the graph we can see that in the interval 2-4, the train travels from distance of 2m to distance of 3m. In other words it covers a distance of 1 meter ( 3 - 2 ) in 2 seconds

Therefore average speed at this time interval = 1m/2sec = 0.5 m/s

So table A shows the correct average speed

Answer:

1

Step-by-step explanation:

Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.

The required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future is 18%.

Real risk free rate = 3%

Inflation Premium = 5%

Nominal risk free rate Rf = Real risk free rate + Inflation Premium = 3% + 5% = 8%

Market risk premium (Rm –Rf) = 5%

Beta = 2

As per CAPM, required rate of return:

= Rf + beta * (Rm – Rf)

= 8% + 2 * 5%

= 8% + 10%

= 18%

Learn more about rate of return on:

https://brainly.com/question/24301559

#SPJ1

Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:

Var(Y) = 36.

The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.

Hence:

These two bullet points above can be resumed by the equation given as follows:

Var(aX + B) = a²Var(X).

Hence:

Var(3Z + 2) = 9Var(Z).

Hence the variance of Y is given as follows:

Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.

More can be learned about variances at https://brainly.com/question/18188940

#SPJ1

Based on the calculations, the features which are features of the circle include the following:

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Given the following equation:

x² + 4x + y² - 2y - 4 = 0

x² + 4x + y² - 2y = 4

Next, we would evaluate the equation by using completing the square method:

x² + 4x + 4 + y² - 2y + 1 = 4 + 5

(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9

(x + 2)² + (y - 1)² = 3²

By comparing the above equation with the standard form of the equation of a circle, we have:

Read more on equation of a circle here: https://brainly.com/question/24810873

#SPJ1

Answer:The answer is 10/6 or 1 4/6 or 1 2/3.

Step-by-step explanation: you can do either one and it will be equal the same.

Answer:

1) 8

2) 3

3) 4

4) 5

5) 6

6) 2

7) 1

8) 18

Step-by-step explanation:

whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2,  which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three

- - - - - - - - - - - - - - - - - - - - - - - -

Heyo! Your explanation is below, if necessary.

- - - - - - - - - - - - - - - - - - - - - - - -

If it's 51 miles per hour, simply multiply the distance by the number of hours.

51 x 6 = 306

51 x 55/60 = 46.75

Now, add the products.

306 + 46.75 = 352.75

- - - - - - - - - - - - - - - - - - - - - - - -

Have a great day/night!

~pinetreee :)

Answer: (2x+5)(2x-5)

Step-by-step explanation:

4x² - 25=

2²x² - 5²=

(2x)² - 5²=

(2x)(2x) - 5(5)=

(2x)(2x) - 5(2x) + 5(2x) - 5(5)=

2x(2x-5) + 5(2x-5)=(2x+5)(2x-5)

Answer:

Areas under the curve

Step-by-step explanation:

The area under a curve on an interval [a, b] is the integral of the function computed in this interval :  [tex]A=\int _a^b|f\left(x\right)|dx[/tex]

(1) For [tex]f\left(x\right)=3\sqrt{x}[/tex] with [tex]a=1,\:b=4[/tex]

area [tex]=\int _1^4\left3\sqrt{x}\;dx[/tex] = [tex]3\cdot \int _1^4\sqrt{x}dx[/tex] =

[tex]\int \sqrt{x}[/tex] = [tex]\frac{2}{3}x^{\frac{3}{2}}[/tex]

[tex]3\cdot\frac{2}{3}x^{\frac{3}{2}}[/tex] = [tex]2x^{\frac{3}{2}}[/tex]

At [tex]x = 4,[/tex] we get [tex]2\cdot4^{\frac{3}{2}}[/tex] = [tex]2\cdot8 = 16[/tex]

At [tex]x = 1,[/tex] we get [tex]2\cdot1^{\frac{3}{2}}[/tex] = [tex]2.1 = 2[/tex]

So area under the curve for [tex]f(x) = \:3\sqrt{x}[/tex] in the interval [tex][1, 4] = 14[/tex]

(2) [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex]

[tex]\int \:x-\frac{2}{3}dx[/tex] = [tex]\int \:xdx-\int \frac{2}{3}dx[/tex]  [tex]=\frac{x^2}{2}-\frac{2}{3}x[/tex]

[tex]\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364[/tex]

[tex]\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}[/tex]

[tex]\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}[/tex]  (Answer)

The standard deviation of the sample number is 1.67.

According to the question we have been given a sample of 5 United states tourist.

We need to find the standard deviation of the sample. The formula for the standard deviation is given as :

                      [tex]\sigma[/tex] = √∑( xₙ - u)²/N

   where    σ = standard deviation

                 xₙ = each value of the sample

                 N = number of sample

                  u = mean

First the mean = (7+8+4+9+7)/5

                       =   7

∑( xₙ - u)² = (7 - 7)² + (8-7)² + (4-7)² + (9-7)²+ (7-7)²

                =  0² + 1² + (-3)² + 2² + 0²

                 = 1 + 9 + 4

                 = 14

Substituting the value sin the given formula we get

                σ = √(14/5)

                    = √2.8

                   = 1.67

Hence the standard deviation of the sample number is 1.67

Learn more about standard deviation here : https://brainly.com/question/12402189

#SPJ9

Step-by-step explanation:

The answer to the problem is as follows:

For a box with x chocolates, the cost of packaging is C(x) = x^2 and the

weight is W(x) = x + 2.

Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer:

$363

Step-by-step explanation:

i mean with what your given it 18.15 x 20 x could be . for others

According to the given data, It is Transformation of rotation by 180°.

Transformations are changes that appear in the shapes present on a coordinate plane by rotation, reflection or translation. A function, f, that maps to itself is called the transformation, that is if f = X → X'. This transformation can be any one of the translation, rotation, reflection, and dilation or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.

The transformation that rotates each point in the shape at a certain number of degrees around that point is called transformation of rotation. The shape rotates counter-clockwise when the degrees value is positive and it rotates clockwise when the degrees value is negative. The general rules for transformation of rotation about the origin are given below,

To rotate 90º: (x,y) → (-y, x)

To rotate 180º (x,y) → (-x,-y)

To rotate 270º (x,y) → (y, -x)

given data: preimage → image

                   R( -4, 3 ) changes to R'( 4,-3 )

                   S( -1, 3 ) changes to S'( 1, -3 )

                   T( -4, 1 ) changes to T'( 4,-1 )

As we can notice similar trend in the data given in the question like 180° rotation, Thus we can conclude that the coordinate rule and transformation is Transformation of rotation.

To learn more about transformation

visit; https://brainly.com/question/11709244

#SPJ1

Answer:

PA BRAINLEST NALANG PO HEHE

Answer:

d = 6

Step-by-step explanation:

-2 +3i+ 12i = 9i-(2-di)

-2 + 15i = 9i - 2 + di

-2 + 15i = -2 + 9i + di

6i = di

6 = d

The number of white tiles is 20 and the number of shaded tiles is 24

The ratio of white tiles to shaded tiles is given as 5:6

Total number of tiles = 44 tiles

Let x be the number of shaded tiles then the number of white tiles will be 44-x

Formualting the equation using the above variables we get:

Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile

= 44-x/x = 5/6

= 264-6x = 5x

= 264 = 11x

x = 24

Hence, the number of white tiles is 20 and the number of shaded tiles is 24

Learn more about ratios:

https://brainly.com/question/13419413

#SPJ9  

Answer:

1. 12.54

2. 6.016

3. 0.162

4. 20.05

Step-by-step explanation:

Answer:

1. 12.54

2. 6.016

3. 0.162

4. 20.05

Explanation:

(I'm sorry if this sounds bad. I wrote it at two in the morning. you can go ahead and skip this if you want.)

It is common to discuss numbers when writing academic or professional documents.

It may be appropriate to spell out a number with a decimal if you're sharing statistics or explaining a mathematical concept.

Learning how to properly write decimals can help you create documents that meet expectations.

The proper way to convert worded forms into decimals:

Let's do an example.

Twenty-three and six-tenths,

We are given four numbers.

It is easy to see that Twenty-three equals 23.

But what about the decimal?

Decimals in worded form are always after "and," and they always have "th(s)" at the end, rather than what would appear there in regular numbered word form.

So, given "six-tenths," it is pretty simple.

Six-tenths=0.6

The reason for this is that the word "tenths," won't make it 0.16, because, in decimals, we always skip what would be oneths. The reason for this is; is that this only makes sense if there were "oneths," and dividing a "whole" into "oneths" resulted in the "whole"... So that spot was already taken.

Learn more about decimals here:

https://brainly.com/question/29765582