If the m<7 = 115 degrees, find the measure of <2

i.e. the points are closely related to the line.

The magnitude of the negative and positive residual values must be same.

( i.e. Not all point could lie above the line and not all points could lie below the line )

( In graph A most of the points lie below the line.

Hence, Graph A is not the correct answer.

In graph  most of the points lie above the line.

Hence, Graph C could not be the best model.

In graph D most of the points lie above the line and hence it could not be the best model)

whereas in Graph B there are equal number of points above and below the line.

Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.

The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:

x + y = 45 (since there are 45 copies in total)

7x + 5y = 249 (since the total weight is 249 ounces)

Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.

After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.

Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).

Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10

Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10

Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.

Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:

1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5

Therefore, Rick has 2/5 of the bag of grapes left.

The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

An intercept form of the standard line is,

x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.

So, the equation is,

x/-8 + y/9 = 1

And the graph is given in the attached image.

Therefore, the graph is given.

To learn more about the intercepts;

https://brainly.com/question/14180189

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Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.

The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.

The calculation would be: 90 degrees - 32 degrees = 58 degrees.

Therefore, the measure of the second angle is 58 degrees, making the correct answer:

Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.

Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.

It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.

Given that all of the sandwiches are the same size and they are all used.

Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-

Number of Ken's sandwiches = Number of Sarah's sandwiches

LW = 2·(L+W) + 4

Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.

So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.

Hence, final answer is "Each person could have 24 sandwiches".

Answer:

12

Step-by-step explanation:

Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.

Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}

7a + 7b &= 84 \\

7(a + b) &= 84 \\

a + b &= \frac{84}{7} \\

a + b &= \boxed{12}

\end{align*}

Answer:

The circle graph that represents Sally's data in the attahed figure

Step-by-step explanation:

we know that

The color blue represent [tex]25\%[/tex]------> Is a quarter of circle

The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle

The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle

therefore

The answer in the attached figure