Shelley earned 20% more money in tips waitressing this week than last week. This week she earned $72.00 in tips waitressing. How
2 answers:
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Answer:
Step-by-step explanation:
<u>Verify each statement</u>
case A)
The statement is True
we know that
The measure of angle A is equal to the angle marked by corresponding angles
case B) ∠B and the angle marked are alternate exterior angles
The statement is False
Because, ∠B and the angle marked are corresponding angles
case C) because it is a vertical angle to the angle marked
The statement is True
we know that
------> by vertical angles
case D) ∠B and ∠C are supplementary angles
The statement is False
we know that
---> the sum is less than
case E)
The statement is True
we know that
and remember that
so
substitute
The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.
<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>
The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.
If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:
<em>A = w · h</em>
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910
