<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
The price after 7% of sales tax.
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
<h3>How to depict the transformation?</h3>
It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
Learn more about transformation on:
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See in the explanation
<h2>
Explanation:</h2>
Hello! Recall that you have to post complete questions in order to get excellent and correct answers. Since you have missing graphs, I can't say what is the correct option. However, I'll try to help you about the concept of parent functions.
A parent function is the most basic function that shares the same characteristics with other complicated functions. One of the parent function in mathematics is the Square Root Function written as:
This parent function is shown in the First Figure below. As you can see:
- The domain is the set of all real numbers greater (or equal) than zero
- The range is the set of all real numbers greater (or equal) than zero
An example of a function whose parent function is is the same function translated three units to the left. In a mathematical language:
This graph is shown in the second figure. As you can see, these two graph share the same characteristics. The only difference is a translation performed on the second one. For the second graph, we have:
- The domain is the set of all real numbers greater (or equal) than -3
- The range is the set of all real numbers greater (or equal) than zero
<h2>
Learn more:</h2>
Other parent functions: brainly.com/question/1131412
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Answer:
the first one is 19-11
Step-by-step explanation: