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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The answer to this equation is 8^5
Answer:
23 pieces of yarn
Step-by-step explanation:
12.42cm divided by 0.54cm = 23
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As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
