Answer:
ok first
follow me. ...........................
<span> the angle that the Main Angle is called reference angle
</span><span>Given angle - 180
</span><span> 225° -180
</span>=45
eference angle for 225° is 45
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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Answer:
Option (b) is correct.
Step-by-step explanation:
Given:
We have too choose the correct simplification for the given statement.
Consider
Using property of exponents,
We have,
Again applying property of exponents
We have,
Simplify, we have,
we get,
Thus,
Option (b) is correct.