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:
3.0.8
4.8
5.11.51
Step-by-step explanation:
Standard form: 2x - 16 = 0
Factorization: 2(x - 8) = 0
Solutions: x = 16/2 = 8
Hope this helps!
Add4 Then Add 39 ok you got this
Answer: 192.75
Step-by-step explanation:
I am answering your question assuming that the three amounts were checks that were written out during the week.
Beginning balance = 345.28
Subtract the total amount of the checks (65.08 + 24.50 + 118.95 = 208.53)
345.28 - 208.53 = 136.75
Next, add the amount of the deposit. 136.75 + 56.00 = 192.75