The solutions for each case are listed below:
- x = 65
- x = 35
- (x, y) = (48, 21)
- (x, y) = (15, 8)
<h3>How to solve on systems of linear equation by taking advantage of angle relationships</h3>
In this problem we must solve algebraic equations by taking advantage of angle properties. Now we proceed to solve the variables for each case:
Case 1 - Opposite angles
2 · x - 10 = 120
2 · x = 130
x = 65
Case 2 - Opposite angles
2 · x + 25 = 3 · x - 10
25 + 10 = 3 · x - 2 · x
35 = x
x = 35
Case 3 - Opposite angles generated by two perpendicular lines
2 · y + 50 = x + 44 (1)
5 · y - 17 = 7 · x - 248 (2)
- x + 2 · y = - 6
7 · x - 5 · y = 231
x = 48, y = 21
Case 4 - Opposited angles generated by two perpendicular angles
6 · x = 90 (3)
9 · y + 18 = 90 (4)
The solution to this system of linear equations is (x, y) = (15, 8).
To learn more on systems of linear equations: brainly.com/question/21292369
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I know it's a right triangle Soooo either a or d :/
Answer:
270 km³
Step-by-step explanation:
the volume = ½×9×6×10 = 270 km³
Answer:
b^2√30b
Step-by-step explanation:
√30b^5 - Original
Break down the radical with its factors (factor tree)
√3*2*5*b*b*b*b*b
See what perfect squares you can take out (Can take out four b terms) You cant take out any perfect squares involving 30 since there are no perfect squares
b^2√3*2*5*b
b^2√30b