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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Answer:
see explanation
Step-by-step explanation:
Given
y - 3x = 18
To find the y- intercept let x = 0 in the equation and solve for y
y - 3(0) = 18
y - 0 = 18
y = 18 ⇒ (0,18 ) ← y - intercept
To find the x- intercept let y = 0 in the equation and solve for x
0 - 3x = 18
- 3x = 18 ( divide both sides by - 3 )
x = - 6 ⇒ (- 6, 0 ) ← x- intercept
Answer:
The whole triangle is 180° , and means + in math
15-x + 2x= 180
-x+2x=180-15
-x+2x=165
2x=165
2x/2=165+/2
=82.5
Answer:
Step-by-step explanation:
We need to add the two terms.
Solving,
Combine the like terms and adding those terms
So, the answer is:
