1.) .66 pizza per minute
2.) 5' 6"
Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.
Answer:
(1,-1)
Step-by-step explanation:
We can solve the system by using substitution.
In order to do this we must make x the subject in the first equation.
We can do this by simply subtract 2y from both sides
x + 2y = -1
subtract 2y from both sides
x + 2y - 2y = -1 - 2y
simplify
x = -2y - 1
now that we have made x the subject in one of the equations we can plug in (or substitute) the value of x into the other equation
2x – 3y = 5
x = -2y - 1
2(-2y - 1) - 3y = 5
We can then solve for y
2(-2y - 1) - 3y = 5
Distribute the 2
-4y - 2 - 3y = 5
combine like terms -4y + -3y
-7y - 2 = 5
add 2 to both sides
-7y = 7
divide both sides by -7
y = -1
Now that we have found the value of y we can plug in the value of y into one of the equations and solve for x
x + 2y = -1
y = - 1
x + 2(-1) = -1
multiply 2 and -1
x + -2 = -1
add 2 to both sides
x = 1
So we have found that x = 1 and y = -1 therefore the solution to the system of equations is (1,-1)
One cups is equal to 0.0625 gallons so what ever your cups are just multiply it by the gallons and you will get your gallons...
