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:
add more info this question doesn't make sense
Step-by-step explanation:
Answer:
4y−5x=−8
Step 1: Add -4y to both sides.
−5x+4y+−4y=−8+−4y
−5x=−4y−8
Step 2: Divide both sides by -5.
−5x
−5
=
−4y−8
−5
x=
4
5
y+
8
5
Answer:
x=
4
5
y+
8
5
Step-by-step explanation:
60 - 19 = 41
Jeremy is 41 pounds heavier than Marilyn.
Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:
Before: 15:12 simplified as 5:4
After 16:15
