if AC is parallel to DE, find X

Answer:

$391.52

Step-by-step explanation:

The original price was 100% of the original price.

Since it was sold at 34% off, then since 100% - 34% = 66%, it was sold for 66% of the original price.

Let the original price = x.

66% of x = $258.40

0.66x = 258.4

x = 258.4/0.66

x = 391.52

Answer: $391.52

Answer:

I'm pretty sure it is C

Step-by-step explanation:

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:

7:3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

Answer: No

Step-by-step explanation:

Answer: -25.9 or -25 9/10

Step-by-step explanation:

Answer:

-25.9

Step-by-step explanation:

-6.7 × 3 gives you -20.1 adding on the 5.8 gives you 25.9

Answer: the answer is A 5 units

The length of L'L in the dilated figure is 5 units.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in size of a figure.

Triangle JKL was dilated by 1/3 with M as the center of dilation to form J'K'L'.

Given that ML' = 2.5 units, hence:

L'L = (2.5 * 3) - 2.5 = 5 units

The length of L'L in the dilated figure is 5 units.

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The maximum quantity of snowfall logged in any one city came out to be an astounding 42 inches.

Most of the data is densely concentrated within the second quarter, spanning between 6 and 14 inches in terms of depth. This surplus can be evidenced by scrutinizing the box plot that has a comparatively slim interquartile range (IQR) within the second quarter with the outline stretching from the bottom quartile (Q1) at 6 inches up to the top quartile (Q3) at 14 inches - denoting that the majority of the numbers lie within this scope, making it the most heavily populated.

In contrast, the data is generally dispersed by the fourth quarter comprising the interval spanning from 30 to 50 inches of snowfall.

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Answers:

A. 4 1/5

B. 7 7/24

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

\(a) \frac{7}{9} \times 5 \frac{2}{5} \\ \frac{7}{9} \times \frac{27}{5} \\ = \frac{21}{5} \\ = 4 \frac{1}{5} \)

\(b)1 \frac{3}{4} \times 4 \frac{1}{6} \\ \frac{7}{4} \times \frac{25}{6} \\ = \frac{175}{24} \\ = 7 \frac{7}{24} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

moootbh skskdkdldodoodd

Step-by-step explanation:

ong gid

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

Acute

Step-by-step explanation:

acute triangle has angles with measurement less than 90

Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g

The price of a single pack of gum is g and Sarah bought 4 packets.

The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)

When expressed in terms of g, the function is:

= 4g x (1 + 6.35%)

p(g) = 4g + 0.254g

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Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer:

a) The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Step-by-step explanation:

a) From Linear Algebra, we define the translation by the following vector:

\(O'(x, y) = O(x,y) +T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(O'(x,y)\) - Translated point, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

If we know that \(G(x,y) = (-1,6)\), \(H(x,y) =(-1,3)\), \(I(x,y) = (-6,6)\) and \(T(x,y) = (7,-5)\), then the vertices of the triangle G'H'I' are, respectively:

\(G'(x,y) = G(x,y) +T(x,y)\) (2)

\(G'(x,y) = (-1,6) +(7,-5)\)

\(G'(x,y) = (6, 1)\)

\(H'(x,y) = H(x,y) + T(x,y)\) (3)

\(H'(x,y) = (-1,3) + (7,-5)\)

\(H'(x,y) = (6,-2)\)

\(I'(x,y) =I(x,y)+T(x,y)\) (4)

\(I'(x,y) = (-6,6) +(7,-5)\)

\(I'(x,y) = (1, 1)\)

The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) From Linear Algebra, we define the reflection with respect to a horizontal line as follows:

\(O''(x,y) = O(x,y) - 2\cdot [O(x,y)-R(x,y)]\) (5)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(R(x,y)\) - Reflection point, dimensionless.

If we know that \(G(x,y) = (-1, 6)\) and \(R(x,y) = (-1,-3)\), then the location of point G'' is:

\(G''(x,y) =G(x,y) -2\cdot [G(x,y)-R(x,y)]\) (6)

\(G''(x,y) = (-1,6)-2\cdot [(-1,6)-(-1,-3)]\)

\(G''(x,y) = (-1,6) -2\cdot (0,9)\)

\(G''(x,y) = (-1,6)-(2,18)\)

\(G''(x,y) = (-3,-12)\)

If we know that \(H(x,y) =(-1,3)\) and \(R(x,y) = (-1,-3)\) , then the location of the point H'' is:

\(H''(x,y) =H(x,y) -2\cdot [H(x,y)-R(x,y)]\) (7)

\(H''(x,y) = (-1,3)-2\cdot [(-1,3)-(-1,-3)]\)

\(H''(x,y) = (-1, 3) -2\cdot (0,6)\)

\(H''(x,y) = (-1,3)-(0,12)\)

\(H''(x,y) = (-1, -9)\)

If we know that \(I(x,y) = (-6,6)\) and \(R(x,y) = (-6, -3)\), then the location of the point I'' is:

\(I''(x,y) =I(x,y) -2\cdot [I(x,y)-R(x,y)]\) (8)

\(I''(x,y) = (-6,6)-2\cdot [(-6,6)-(-6,-3)]\)

\(I''(x,y) = (-6,6)-2\cdot (0,9)\)

\(I''(x,y) = (-6,6)-(0,18)\)

\(I''(x,y) =(-6,-12)\)

The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The production level that achieves a marginal cost of $0.50/L is 1875 litres.

To find the average cost of producing 625 L of maple syrup, we need to find the total cost of producing that amount, and then divide by the number of litres. The total cost can be found using the cost function:

C(x) = 75(√x - 10)

C(625) = 75(√625 - 10) = 75(25 - 10) = 75(15) = 1125

The average cost per litre is the total cost divided by the number of litres:

Average cost = Total cost / Number of litres = 1125 / 625 = 1.8

b. The marginal cost is the derivative of the cost function:

C'(x) = 75(1/(2√x))

C'(1225) = 75(1/(2√1225)) = 75(1/(35)) = 75/35 = 2.14

c. To find the production level at which the marginal cost is $0.50/L, we set the derivative equal to 0.50 and solve for x:

0.50 = 75(1/(2√x))

0.50 * 2√x / 75 = 1

√x = 75 / (2 * 0.50)

x = (75 / (2 * 0.50))^2

x = 1875

So the production level that achieves a marginal cost of $0.50/L is 1875 litres.

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Answer:

3 answers

Step-by-step explanation:

75/25=3

Answer:

The answer is D or "Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336"

Step-by-step explanation:

I took the quiz!

Answer:

D

Step-by-step explanation:

Answer: Um, I think that the answer to this math question about solving for x and y with the given algebraic equation form are \(x=-\frac{1}{3}\) and \(y=\frac{1}{6}.\)

Step-by-step explanation: First, here are 3 alternative form steps in order to solve for x and y with the given algebraic equation form that looks in the algebraic step-by-step equation forms like this:

Step 1. {y = x/4 + 1/4, y = x + 1/2}.

Step 2. {x + 1 = 4y, 2x + 1 = 2y}.

Step 3. {x - 4y = -1, 2(x - y) = -1}.

Therefore, your real solution answer to this math question about solving for x and y with the given algebraic equation form are \(x=-\frac{1}{3}\) and \(y=\frac{1}{6}.\)

Finally, here is an implicit plot that looks in the graphing form image like this, but I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for x and y with the given algebraic equation form, please mark me as Brainliest, take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

62°

Step-by-step explanation:

In an isosceles triangle, angle opposite to equal sides are equal.

So according to angle sum property :

x + x + 56 = 180

2x + 56 = 180

x = 180 - 56 /2

x = 62°