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).
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Answer:
10x+47
Step-by-step explanation:
The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.
<h3>What is mathematical expansion?</h3>
An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.
14(p + 6) − 10(2q + 5)
If we open the bracket, we have
14p − 20q + 34
Therefore option D is correct.
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If you play music then you won't get distracted by the outside world or if you study in a quiet room
Answer: true
Step-by-step explanation:
