Classify the pair of numbered angles A consecutive interior B corresponding C alternate exterior D alternate interior

x^2+6x=9

To create a trinomial square on the left side of the equation, you have to find a value that is equal to the square of half of 9.

(9/2)^2=(3)^2

Then, add this therm to each side of the equation.

x^2+6x+(3)^2=9+(3)^2

Simplifying that equation:

x^2+6x+9=18

Factor the perfect trinomial square into (x+3)^2

(x+3)^2=18

To solve the equation for x, you have to take the square root of each side of the equation:

(x+3)^(2*1/2)=18^1/2

We have the following:

The median is the value of the half, therefore

Therefore the answer is C) 10 - 15

Answer:

dbxbdghdhdvddhbdhddu

We have a game like the one described in the question and we have to calculate the expected payoff, which is equal to the sum of the possible outcomes weighted by the probability of that outcome.

In this case we have two outcomes:

1) We get an odd number and we win $26 (W=26).

2) We get an even number and we get $0 (W=0).

To calculate the probabilities of each oucome we have to know the proportion of odd an even numbers in the list of 1 to 50. We have a total of 50 numbers, rom which 25 are odd numbers and 25 are even numbers, so the probability of each outcome can be calculated as the relative frequency of each category:

Then, we can calculate the expected payoff as:

p_i: probability of outcome i.

W_i: prize when outcome i happens.

Then, the expected payoff for this game is $13.

Answer: the expected payoff for this game is $13.

Answer:

360000

Step-by-step explanation:

Give:

There are given the function:

Now,

The transformation of the graph g(x) is shown below.

The,

Transformation is:

The normal force of the block of iron is mathematically given as

N=1412.64 N

This is further explained below.

Generally, the Mass of an iron block of m=40kg sitting on an incline

That has an angle of 28 degrees above horizontal

as-block is sitting on an incline hence Net force acting perpendicular to the incline will be zero

Then [tex]N-M g \cos 28^{\circ}=0[/tex]

N-Mgcos 28=0

[tex]$$\begin{aligned}&N=M g \cos 28^{\circ} \\&N=40 \times 40 \times 0.8829\\& \end{aligned}$$[/tex]

N=1412.64 N

In conclusion, the normal force on the block is N=86.6 Newton

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By using free body diagrams and trigonometric relations, the normal force of the block of iron has a magnitude of 352.579 newtons.

In accordance with the third Newton's law, normal forces (N), in newtons, are reactive forces as the result of the contact of the iron mass with the ground of the incline, that is to say, the normal force is the reaction of the weight of the iron mass (W), in newtons. If the iron mass is at rest, then we find the following free body diagram of the ground-mass system and its related geometric system.

Since the free body diagram represents a three force system, then the magnitude of the normal force is found by trigonometric relations:

N = W · cos 26°

N = (40 kg) · (9.807 m / s²) · cos 26°

N = 352.579 N

The normal force of the block of iron has a magnitude of 352.579 newtons.

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If 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

The percentage of people over the age of 65 = 14%

Number of residents over the age of 65 = 322

Consider the total population of the town as x

Then the equation will be

x × (14/100) = 322

From this equation we have to find the value of x, that is the population of the town.

x × (14/100) = 322

x × 0.14 = 322

x = 322/0.14

x = 2300

Hence, if 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

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nealmiyasmith20, this is the solution:

-2× + 5y= -1

3× + 2y= 11

___________

Step 1: Isolating x on the first equation:

-2× + 5y= -1

-2x = - 1 - 5y

Dividing by -2 at both sides:

-2x/-2 = -1/-2 - 5y/-2

x = 1/2 + 5y/2

______________________

Step 2: Substituting x and solving for y on the second equation:

3× + 2y = 11

3 ( 1/2 + 5y/2) + 2y = 11

3/2 + 15y/2 + 2y = 11

19y/2 = 11 -3/2

19y/2 = 19/2

Multiplying by 2/19 at boths sides:

19y/2 *2/19 = 19/2 * 2/19

y = 1

___________________

Step 3: Substituting y and solving for x on the first equation:

-2× + 5y = -1

-2x + 5 * 1 = -1

-2x + 5 = -1

-2x = -1 - 5

-2x = -6

Dividing by -2 at both sides:

-2x/-2 = -6/-2

x = 3

Step 4: Proving that x = 3 and y = 1 are correct on the second equation:

3× + 2y = 11

3 * 3 + 2 * 1 = 11

9 + 2 = 11

11 = 11

We proved that x = 3 and y = 1 are correct

Part A:

We will have that the inequality that represents the scenario is:

Where x is the number of horses.

Part B:

The solution of the inequality is:

This means that Sunshine Acre Farm can support at most 20 horses.

The volume of the prism = Length x breadth x height

= 4cm x 1.4cm x 3cm = 16.8 cm^3

The solution of a system of linear equations is the point where the two lines meet. Note that for the given equations, both lines have the same slope (4/5). If two lines have the same slope, it means that those lines are parallel. Parallel lines do not meet at any point, they stay parallel to the infinite.

Therefore, since this two lines are parallel, they don't meet and the system has no solution.

For this statement to be true, the only condition that is necessary is that Line a is parallel to Line b. The right answer is the first one.

In an inverse variation as one quantity increases the other decreases. For example, if x increases, y decreases

We can write it as:

x=k/y

where k is a constant.

or

x*y = k

replacing the values:

4*1=k

4=k

x*y=4

The graph that represents the linear equation, 24x + 64y = 384 is shown in the diagram.

A linear equation can be expressed as y = mx + b, which is the slope-intercept form where the slope is represented as m and the y-intercept is represented by b. This y-intercept is the point where the line intercepts the y-axis when x is equal to zero.

Given the linear equation, 24x + 64y = 384, rewrite in slope-intercept form to easily figure out the slope:

24x + 64y = 384

64y = -24x + 384

y = -24x/64 + 384/64

y = -6/16x + 6

This shows that the graph would have a y-coordinate, b = 6, while the slope is -6/16. The graph would be the one shown below in the diagram.

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Answer:

A

Step-by-step explanation:

After 6 months he spents $228.5 on cable and for 10 months he could have cable service for $344.5

An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

Given:

c(x)=29x+54.5

a) At x=6

c(6) = 29*6 + 54.5

c(6) = $ 228.5

b) c(x) = 344.5

344.5 = 29x+54.5

x = 10 months

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Given the line h(x), it can be observed that two points with coordinate below can be located

The slope,s, of a line given coordinates of two points can be found using the formula below:

The slope of the line h(x) with the coordinates of the two points gotten can be gotten as shown below

It should be noted that two parallel lines have the same slope, while the slope of two perpendicular lines can be found to be negative inverse of their slopes

For example, if m1 is the slope of a line, the slope of its parallel line would be m1. But the slope of the perpendicular line would be -1/m1

The slope of the line that would be parallel to h(x) is the same as the slope of h(x)

The slope of the line that would be perpendicular to h(x) would be negative inverse of the slope of line h(x)

Hence, The slope of the line that would be parallel to h(x) is -1/8, while the slope of the line that would be perpendicular to h(x) is 8

The triangle given in the exercise is a Right Triangle because the square inside it indicates that it has an angle that measures 90 degrees.

Then, you can use the following Trigonometric Function:

In this case:

Then, by substituting values and solving for "x", you get:

Therefore, the answer is:

Answer:

You can draw a car for five students

We need to find 15.4% of 360º.

Notice that:

Also, 15.4% of 360º corresponds to the product:

Thus, we have:

Since 0.44 < 0.50, rounding to the nearest whole degree, we obtain:

Answer

55º

The equation that shows the proportional relationship between pints and cups where p represents pints and n represents cups is p = 0.5n

From the information, the recipe book shows measurement conversions for pints to cups. It shows that 1.5 pints equals 3 cups and 2.5 pints equals 5 cups.

p = pints

n = cups.

Therefore, the equation will be illustrated as

1.5 = 3k

where k = constant of proportionality

Divide

k = 1.5/3

k = 0.5

Therefore, the equation is p = 0.5n.

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The answer to the operation is as follows:

5^(2) + 1^(2) = 5*5 + 1*1 = 25 + 1 = 26.

Here, we have to remember PEMDAS. First, we solve parentheses, then exponents (or exponentiation operations); then, multiplications, divisions, and, after all this, addition and subtractions.

In the above operation, we solve first the raising of 5 to 2, then 1 raised to 2. We sum the result of both operations. So the value of 36 is not correct. The correct value is 26.

Let the monthly budget be 100

35% of it was spent on food i.e 35/100×100= 35

14% of it was spent on bus fare i.e. 14/100×100= 14

Total 49% is spent on food and bus fare, when total budget is 100

∴ 1% is spent when budget is 100/49

 12.5 is spent when budget = 100/49×12.5

                                               =25.5

∵ The monthly budget is 25.5

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Answer:

ima go with (A: 13, 19, 1)

Step-by-step explanation:

formula:

a+b>c  = 13+19>7

a+c>b  =  13+7>19

b+c>a   = 7+9>13

The set 13, 19, 7 can be used to form a triangle.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

A triangle is formed when one side of triangle is greater than the difference of the two remaining sides, less than the sum of the two remaining sides.

If a, b and c are the sides of triangle,

Then

|a - b|  < c < |a + b|

To find the set of measurement that could be used to form a triangle,

Use the options,

(a)

The given set is,

13, 19, 7

19 - 13 < 7 < 19 + 30

6 < 7 < 49

This set follows the condition of a triangle.

Therefore, this set can be used to form a triangle.

(b)

The given set is,

25, 12 , 13

25 - 12 < 13 < 25 + 12

13 < 13 < 37

This set does not follow the condition of a triangle.

(c)

The given set is,

18, 2, 24

18 - 2 < 24 < 18 + 2

16 < 24 < 20

This set does not follow the condition of a triangle.

Solve for option (D) also.

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Answer:

(4b - a)²(x + y)

Step-by-step explanation:

x(4b - a)² + y(4b - a)² ← factor out (4b - a)² from each term

= (4b - a)²(x + y)

To find the greates number of bouques he can make, we need to find the greatest number that divdes the three numbers: 45, 27 and 18.

45 can be divided by the following numbers:

1,3,4,5,9,15,45

27 can be divided by the following numbers:

1,3,9,27

18 can be divided by the following numbers:

1,2,3,6,9,18

From the divisors of the three numbers we can see that the greatest number that divide the three of them is 9.

Thus, 9 is the greatest number of bouquets he can make using at leat 1 of each. Also those 9 bouquets would have all the same arrengement.

Answer: 9

let p represent pizza

let s represent subs

when he bought 4 pizza and 5 subs bill is $56.25

when he bought 3 pizzas and 7 subs his bill is $59.25

solving the two equations simultaneosly

divide both side by 13

substitute s= 5.25 in equation 1

4p + 5(5.25) = 56.25

4p + 26.25 = 56.25

4p = 56.25 - 26.25

4p = 30

divide both side by 4

each pizza cost $7.5

each sub cost $5.25

Given:

The equations are,

To draw the lines on the graph first find the points on the graph,

And,

Plot the points on the graph.

From the graph, the lines intersect at the point (4,-2).

Answer

The zeros of the polynomial function using the rational zero theorem is

Explanation

The given polynomial function is

What to find:

To find the zeros of the polynomial function the rational zero theorem.

Step-by-step solution:

The rational zero theorem: If a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p/ q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Considering the given polynomial function

The constant term, p = 4

The leading coefficient, q = 4

The factors of the constant p and the leading coefficient q are:

Hence, the zeros of the polynomial function using the rational zero theorem will be

Explanation

two important rules to plot a point in the cartesian plane are given

1.The first coordinate in the ordered pair (x) represents the left/right movement of a point from the origin.

2.The second coordinate in the ordered pair (y) represents the up/down movement of the point from the origin.

so

Step 1

let

so

1) 2.75 to the left

2) 3 up

Step 2

B(1,-2)

I hope this helps you

Answer:

20 books

Step-by-step explanation:

can u help me with my math question please