Which condition is sufficient to show that the polygons are congruent?
A. Polygon ABCD and polygon LMNO have the same orientation.
B. The translation of two pairs of corresponding vertices (A to Land
C to M) have the same rise over run.
C. Not enough information to determine congruence.
D. The translation of all corresponding vertices of the polygons have
the same rise and run.

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

7, 8, 9, 10, 11

Step-by-step explanation:

7+8+9+10+11

7 + 8 = 15

15 + 9 = 24

24 + 10 = 34

34 + 11 = 45

Answer:

f(x)=290+30x

Step-by-step explanation:

the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.

a) The standard deviation of  1.45 mpg.

b)The margin of error for the mean estimate 3.03 mpg

c) A 95% confidence interval for μμ is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg, the mean highway mpg for this vehicle is  27 mpg.

a) Using the formula for the standard error of the mean, σx¯ = σ/√n, where σ is the standard deviation of the population, n is the sample size, we can calculate σx¯ = 6.5/√20 ≈ 1.45 mpg.

b) Using a 95% confidence level, we can find the critical value for the t-distribution with 19 degrees of freedom (n-1), which is 2.093. The margin of error for the mean estimate is then t*σx¯ = 2.093 x 1.45 ≈ 3.03 mpg.

c) The 95% confidence interval for μ is given by x¯ ± margin of error, which is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg. Since the vehicle sticker information states a highway average of 27 mpg, the results of this experiment are not consistent with the vehicle sticker, as the 95% confidence interval does not contain the value of 27 mpg. This suggests that the vehicle may not be performing as well as expected, or that the sample of mpg readings was not representative of the overall population.

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Answer:

9

Step-by-step explanation:

he had 18 so he divide them by to so 18/2 9 so there 9 in each bunch

Answer:0.28

Step-by-step explanation:

3.36÷12= 0.28

The constant of proportionality is 0.28 dollars per pounds.

An equation is used to show the relationship between two or more numbers and variables.

Let y represent the cost in dollars for x number of ounces.

Since y is proportional to x, hence it van be represented by:

y = kx

where k is the constant of proportionality.

Given that:

A 12 ounce starbucks latte costs $3.36. Therefore:

3.36 = 12k

k = 0.28

The constant of proportionality is 0.28 dollars per pounds.

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STEP - BY - STEP EXPLANATION

What to find?

The rate of commission.

Given:

To solve, we will follow the steps below:

Step 1

Define the formula that can be use in solving the given problem.

From the question;

amount earned = $6300 and total amount = $210000

Step 2

Substitute the values into the formula and simplify.

ANSWER

The rate of commission is 3 %

Answer:

You need to divide 6 on both sides

Step-by-step explanation:

Answer:

V = 3

Step-by-step explanation:

Divide each side by -6 to get 3

Answer:

gyxysxdjhxhh hocus-pocus and a 8gb that you have been using all these

The coordinates of the vertices for the image is A′(−3, 6), B′(0, 10), C′(−3, 3).

The vertices of the preimage triangle ABC are given as A(-3,3), B(0,7), and C(-3,0). To translate the preimage 3 units up, we need to add 3 to the y-coordinate of each vertex. Therefore, the vertices of the image triangle A'B'C' will be A'(-3,6), B'(0,10), and C'(-3,3). Thus, option B, A′(−3, 6), B′(0, 10), C′(−3, 3), is the correct answer.

To check the answer, we can plot the points on a coordinate plane and observe that the image triangle is obtained by moving the preimage triangle 3 units up. Translation is a type of transformation in which the position of a figure is changed without changing its shape or orientation.

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Answer:

\(\huge\boxed{\sf \$ \ 11.52}\)

Step-by-step explanation:

12 bottles of juice = $8.64

Divide 12 to both sides

12/12 bottle of juice = $8.64/12

1 bottle of juice = $0.72

Multiply 16 to both sides

1 × 16 bottles of juice = $0.72 × 16

\(\rule[225]{225}{2}\)

Answer:

2244.9

Step-by-step explanation:

Anually compound interest formula

PV(1+i)^t

1800(1+.0375)^6

1800*1.0375^6

2244.921387 which rounds to

2244.9

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a -3.9

Step-by-step explanation:

Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides

Answer:

r=5

Step-by-step explanation:

25^3 = 15626

-5^3 = -125

5^3 = 125

15^3 = 3375

Answer:

R=5

Step-by-step explanation:

You first have to find the cube root

The cube root of 125 is 5

r=5

Answer:

A).4m^(+5)

B).2m^ (+7)

Step-by-step explanation:

First let me convert the expression to words for easy simplification and evaluation.

2m squared times 2m to the power 3.

= 2m² * 2m³

m to the power 4 times 2m to the power 3

= m⁴ * 2m³

So to evaluate.

We just multiply and get our answer.

For 2m² * 2m³

= (2*2)(m²*m³)

= 4(m(²+³))

= 4m^(+5)

For m⁴ * 2m³

= 2(m⁴*m³)

= 2m(⁴+³)

= 2m^ (+7)

Answer:

7

Step-by-step explanation:

Count all of the dots that are above 2. (3,4,5)

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

Answer:156

Step-by-step explanation:

Step-by-step explanation:

For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)

Hence at Month 7, there will be 100 + 7 = 107 dollars.

Answer:

107 dollors

Step-by-step explanation:

For every month, It increase 7 dollars, So it would be 107 bdollors

Answer:

17

Step-by-step explanation:

h(17) is falling under the top condition of:

So the answer is:

Answer:

n*25=t

Step-by-step explanation:

n is the number of bags and 25 is the amount of marbles so we just put it into a simple multiplication function to show how many  marbles would be in n bags.

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The value of the inventory will be 4000

Bulbs in the warehouse: 2000 bulbs

Cost of each bulb to the manufacturer: 2

Average delivery cost = 0.30

The selling price of the bulb = 2.20

Value of inventory: The monetary value assigned to the items in inventory at the end of an accounting period is known as inventory valuation. The inventory is valued based on the expenses incurred to get it and prepare it for sale.

The biggest current business assets are inventories. You can assess your cost of goods sold (COGS) and, ultimately, your profitability, thanks to inventory valuation.

The value of the inventory is calculated on the cost price, therefore the value of the inventory will be:

= Cost of each bulb*Number of bulbs

= 2000*2

= 4000

So, the value of the inventory will be 4000

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Answer:

newton

Step-by-step explanation:

first you have to divide Newtons stickers and get 7, then you divide Descartes stickers and get 6, so therefore Newton has more

Newton has more stickers in each group if Newton and Descartes each have 42 glow-in-the-dark stickers newton divides his into 6 equal groups Descartes divides his into 7 equal groups.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Newton and Descartes each have 42 glow-in-the-dark stickers newton divides his into 6 equal groups Descartes divides his into 7 equal groups.

For Newton:

= 42/6

= 7

For Descartes:

= 42/7

= 6

Thus, Newton has more stickers in each group if Newton and Descartes each have 42 glow-in-the-dark stickers newton divides his into 6 equal groups Descartes divides his into 7 equal groups.

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Answer: there is something off screen i cant see so i cant help you 183- what?

Step-by-step explanation:

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.