Answer:
x = 1
GF = 12
GH = 15
FH = 3
Step-by-step explanation:
G___F___H
GH = GF + FH
11x +4 = ( 3x +9) + (5x-2)
11x+4= 8x + 7
11x - 8x = 7-4
3x = 3
x =3/3
x = 1
GF = 3x + 9 = 3(1)+9=3+9=12
GH = 11x +4= 11(1)+4=11+4 = 15
FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3
I hope I helped you^_^
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer
Step-by-step explanation:
Let us revise the types of solutions of a system of linear equations
- One solution
- No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
- Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations
∵ y = -2x + 5
- Add 2x to both sides
∴ 2x + y = 5 ⇒ (1)
∵ -5y = 10x + 20
- Subtract 10x from both sides
∴ -10x - 5y = 20
- Divide both sides by -5
∴ 2x + y = -4 ⇒ (2)
∵ The coefficient of x in equation (1) is 2
∵ The coefficient of x in equation (2) is 2
∴ The coefficients of x in the two equations are equal
∵ The coefficient of y in equation (1) is 1
∵ The coefficient of y in equation (2) is 1
∴ The coefficients of y in the two equations are equal
∵ The numerical term in equation (1) is 5
∵ The numerical term in equation (2) is -4
∴ The numerical terms are different
From the 2nd rule above
∴ No solution of the system of equations
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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Answer: $30,904.49
Step-by-step explanation:
I’m not sure if I did this right but it was the same was as the other question
90-x because a complementary angle is =90 degrees.