Answer:
c
Step-by-step explanation:
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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180 - 64 = 116
116 / 2 = 58 :)
Check: 58 + 58 + 64 = 180
Answer:
3/4 = 34 = 0.75.
Step-by-step explanation:
The area of a circle is given in terms of circumference by
.. A = C²/(4π)
Then the ratio A/C is
.. A/C = C/(4π)
Substituting the given information, we have
.. 16 cm = C/(4π)
.. C = (4π)*16 cm = 64π cm
.. C ≈ 200.96 cm
