Option D:
is the solution to the system of equations.
Explanation:
Given that the equations are
and ![2x+y=4](https://tex.z-dn.net/?f=2x%2By%3D4)
We need to determine the solution of the system of equations.
The solution can be determined by solving the two equations.
Let us solve the system of equations using substitution method.
Consider the equation
, the value of y is given by
![y=10-4x](https://tex.z-dn.net/?f=y%3D10-4x)
Substituting the value of
in the equation
, we get,
![2x+(10-4x)=4](https://tex.z-dn.net/?f=2x%2B%2810-4x%29%3D4)
Simplifying, we get,
![2x+10-4x=4](https://tex.z-dn.net/?f=2x%2B10-4x%3D4)
![-2x+10=4](https://tex.z-dn.net/?f=-2x%2B10%3D4)
![-2x=-6](https://tex.z-dn.net/?f=-2x%3D-6)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Substituting the value of
in
, we get,
![4(3)+y=10](https://tex.z-dn.net/?f=4%283%29%2By%3D10)
![12+y=10](https://tex.z-dn.net/?f=12%2By%3D10)
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Thus, the solution to the system of equations is ![x=3,y=-2](https://tex.z-dn.net/?f=x%3D3%2Cy%3D-2)
Hence, Option D is the correct answer.
Answer:
<T = 81
x = 10, angle = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
Step-by-step explanation:
Supplementary angles add to 180
(7x+11) + (8x+19) = 180
Combine like terms
15x + 30 = 180
Subtract 30 from each side
15x +30-30 = 180-30
15x= 150
Divide by 15
15x/15 = 150/15
x = 10
We want angle T
T = 7x+11 = 7(10)+11 = 70+11 = 81
The two angles add to 90
5x+10 + 30 = 90
Combine like terms
5x+40 = 90
5x+40-40 = 90-40
5x = 50
Divide by 5
5x/5 = 50/5
x=10
5x+10 = 5(10) +10 = 50+10 = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
Answer:
5.8cm < 580mm
Step-by-step explanation:
Since 1mm=0.1cm, then 580mm=58cm which is bigger than 5.8cm, so therefore 5.8cm < 580mm
247 / 13 = 323 / x....247 to 13 hrs = 323 to x hrs
cross multiply
(247)(x) = (323)(13)
247x = 4199
x = 4199 / 247
x = 17 hrs <===