Mr. Spencer wants to rent a car.He has two deals:
Deal A: rent Tesla with initial fee of$75 and
$25 fee each day
Deal B: rent Porsche with no initial fee and $50 each day
Help Mr.Spencer to select a better deal.

The required area of the parallelogram is 36√2 square units.

To find the area of the parallelogram, we can use the formula:

Area = base x height

where the base is one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.

First, we need to find the length of one of the sides of the parallelogram. Let's take RS as the base.

RS = √[(2-(-4))² + (6-4)²] = √(6² + 2²) = √40 = 2√10

Next, we need to find the height of the parallelogram corresponding to the base RS. To do this, we need to find the distance between the line RS and the point T.

The equation of the line RS can be found using the slope-intercept form:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line, and m is the slope of the line. Let's take R(-4, 4) as the point on the line. The slope of RS can be found as:

m = (6 - 4) / (2 - (-4)) = 1/3

Using point-slope form, the equation of RS is:

y - 4 = 1/3(x - (-4))

Simplifying, we get:

y = x/3 + 16/3

To find the distance between the line RS and point T(6,2), we need to find the perpendicular distance between T and the line RS. We can use the formula for the distance between a point and a line:

distance = |ax1 + by1 + c| / √(a² + b²)

where a, b, and c are the coefficients of the equation of the line in the standard form (Ax + By + C = 0), and (x1, y1) is the point.

Converting the equation of RS to the standard form, we get:

-2x + y - 8 = 0

Using this equation, we can find the distance between T and RS as:

distance = |(-2)(6) + (1)(2) - 8| / √((-2)² + 1²)

= 18/√5

the area of the parallelogram is:

Area = base x height = RS x distance between T and RS = 2√10 x 18/√5 = 36√2 = 36√2 square units.

So the area of the parallelogram is 36√2 square units.

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Check the picture below.

Since the y-intercept of the estimated line of best fit is at (0, b), the appropriate value of b is 360.

The appropriate slope of the estimated line of best fit is -30

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept is at (0, 360).

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (360 - 0)/(0 - 12)

Slope, m = -30.

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Answer:

0.51 per pound

Step-by-step explanation:

8.2/16 = 0.5125

about 0.51

The Kid Laroi

The correct sequence of transformations that proves AMNO and APQR are congruent is: OAMNO was dilated by a factor of 3 about the origin, then reflected across the y-axis to form APQR.

The correct sequence of transformations that proves AMNO and APQR are congruent is:

OAMNO was dilated by a factor of 3 about the origin, then reflected across the y-axis to form APQR.

To see why, let's examine the properties of the two triangles:

Triangle MNO has vertices at (-2,-1), (-2,4), and (3,1).

Triangle PQR has vertices at (-6,-3), (-6,12), and (9,3).

If we dilate triangle MNO by a factor of 3 about the origin, we get a new triangle with vertices at (-6,-3), (-6,12), and (9,3). This is because each coordinate of MNO is multiplied by 3:

(-2,-1) -> (-6,-3)

(-2,4) -> (-6,12)

(3,1) -> (9,3)

If we reflect this new triangle across the y-axis, we get a new triangle with vertices at (6,-3), (6,12), and (-9,3). This is because the x-coordinates of each point are negated:

(-6,-3) -> (6,-3)

(-6,12) -> (6,12)

(9,3) -> (-9,3)

This final triangle, with vertices at (6,-3), (6,12), and (-9,3), is congruent to triangle PQR. Therefore, we have shown that AMNO and APQR are congruent.

This theorem relates to theorems previously studied in the sense that it involves transformations of geometric shapes, which is a fundamental concept in geometry. In real-world applications, these transformations can be used in computer graphics, architecture, and engineering, among other fields, to manipulate and analyze shapes and structures.

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer: it is 16

Step-by-step explanation:

The number of batches her mother should cook is 6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, in party there are 24 people and each of the will eat 4 cupcakes.

So, total number of cupcakes required

= 24×4

= 96

Mom can bake 16 cupcakes per batch.

So, number of batches = 96/16

= 6

Therefore, number of batches her mother should cook is 6.

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Answer:

Step-by-step explanation:

Volume = 12 × 18 = 216 in³

Answer

The situation is not biased because it takes a random sample from each group.

The horns are frequently used as a signal to indicate the end of a segment or a specific task. Hence, a horn blows is the noise that sounds at the end of a segment.

The noise that sounds at the end of a segment is A horn blows.

In geometry, a segment is a part of a line that connects two points.

For example, line segment AB, which is denoted by AB, connects point A and point B and can be visualized as a portion of a line.

In general, line segments are denoted by their endpoints.

A horn is a cone-shaped instrument that is often used as a warning signal or a musical instrument.

However, it is important to note that noise can occur at the end of a segment in certain contexts and situations.

For example, in the context of audio or video editing, you can apply fade-out effects or specific sound effects to signal the end of a segment.

However, these sounds are not universally applicable and depend on the specific creative choices and technical aspects of the project.

In the transportation sector, horns are commonly used to alert pedestrians and other drivers of an oncoming vehicle's presence.

The sound of a horn is usually a sharp and loud noise that is difficult to ignore.

As a result, horns are frequently used as a signal to indicate the end of a segment or a specific task. Hence, a horn blows is the noise that sounds at the end of a segment.

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The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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Answer:

13 miles

Step-by-step explanation

27 miles in 2 hours

x miles in 1 hours

2x=27

x=13.5

1.y=6  2. y=3  3. y=9/5   4.y=3/2  5. y=3   6. y= 3

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Step-by-step explanation:

Here we have the system:

x1 + a*x2 + b*x3 = y1

x2 + c*x3 = y2

x3 = y3

Where the variables y1, y2, and y3 are known (a, b and c are also known).

The first step is to isolate one of the variables in one of the equations, we can see that in the third equation we have x3 already isolated, so now we can just replace it on the other two equations to get:

x1 + a*x2 + b*(y3) = y1

x2 + c*(y3) = y2

Now we again want to isolate one of the variables in one of the equations, i will isolate x2 in the second equation to get:

x2 = y2 - c*y3

Now we can replace this on the other equation to get:

x1 + a*(y2 - c*y3) + b*y3 = y1

Now we canw write x1 in terms of the known variables:

x1 = y1 - a*y2 + (a*c - b)*y3

And in the process we also found that:

x3 = y3

x2 = y2 - c*y3

Then the solutions are:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Answer:

4s-300= Jessica's current salary

Answer:

answer: A.

Step-by-step explanation:

A triangle adds up to 180 degrees A cannot be the angle measurements of a triangle because it equals over 180 degrees because

60 + 60 + 61 = 181 So A is the answer. Hope that helps!

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            \(\sf \boxed{y = 94^ \circ}\)

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Answer:

f^-1(x)= x/8 - 1/2

Step-by-step explanation:

y=8x+4

interchange the variables

x=8y+4

8y= x-4

y=x/8-1/2

so f^-1= x/8- 1/2

Answer:

whats the question?

Step-by-step explanation:

Answer:

pls provide more info

Step-by-step explanation:

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

The value of x is -15

Functions are simply defined as expressions or rules showing the relationship between two variables.

These variables are listed as;

From the information given, we have that;

g(x) =x  -1, if g(x) = -16

Now, we have to equate the two functions, we get;

x - 1 = -16

collect the like terms, we get;

x =-16 + 1

add the values, we have;

x = -15

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The complete question:

Given g(x) =x  -1, if g(x) = -16, find x.

The appropriate response, based on the information, is: 7 units.

Forms including triangle, polygons, pentagons, and quadrilaterals are examples of polygons. The shape's number of sides is indicated by the name. For example, a triangle has 3 components, whereas a parallelogram has four sides.

We may compare all coordinates of the relevant vertices of the old polygon ABCD and the rebuilt polygon A' B' C' D' to figure out the translation that was utilized to construct the image. All of the vertices' y-coordinates have moved the identical amount, or a downwards shift of 7 units, as can be seen. As a result, the translation that was used to make the image is seven units lower.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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