The length of a rectangle is 9.7 cm more than 4 times the width. If the perimeter of the rectangle is 91.4 cm what are its dimen

Answer:

For a clearer understanding, refer to the attached figure:

Step-by-step breakdown:

1. According to the unique line postulate, only one line segment can be created: BC

This is because a single line can only connect two distinct points.

2. Utilizing the definition of reflection, reflect BC across l.

To identify the line segment reflected over l, we will apply the reflection definition.

3. Based on the reflection definition, C remains as its own image and A represents the image of B.

The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.

4. Because reflections maintain length, we find that AC = BC

In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.

Answer:

$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

Thus, Carmen's purchases should total no more than $110 before sales tax.

Initially, we must determine the median from the provided dataset. To achieve this, we need to sort the values:
12, 15, 18, 20, 23, 23, 28
Thus, the median appears to be 20

To ensure the median remains unchanged, the eighth hour would need to have 20 visitors, allowing the revised dataset to be:
12, 15, 18, 20, 20, 23, 23, 28

I hope this clarifies things!

Answer:

D

Step-by-step explanation:

it represents entire F as shown in the diagram