After rotation the output for point C´ would be ( - 2 . -3 ). There is also a graph showing rotation in the attachment.
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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We know that 60 minutes = 1 hour and 1 mile = 5280 feet. We just need to multiply and simplify:
651 miles/hour = 651 *5280/60 feet/minutes = 651*88 feet/minutes = 57288 feet/minutes
Answer:
<h2>9 12/25.</h2>
Step-by-step explanation:
9.48 as a mixed number in simplest form:
<em><u>948/100</u></em>
<em><u>948/100= 948 ÷ 4/100 ÷ 4</u></em>
<em><u>948/100= 948 ÷ 4/100 ÷ 4= 237/25</u></em>
<em><u>948/100= 948 ÷ 4/100 ÷ 4= 237/25= 9 12/25</u></em>
<u>9 12/25 is the mixed number.</u>
