Answer:
Step-by-step explanation:
Let's call (as suggested)
p = the cost of one pizza
c = the cost of one cheeseburger
The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:
2p + 4c = 31.50 [1]
Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:
3p + 2c = 33.25 [2]
To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]
Answer:
Step-by-step explanation:
see picture
when doing questions like these it's all about breaking up the shape into digestible parts
Answer:
The answer is below
Step-by-step explanation:
m∠lon = m∠2 (vertical opposite angles are equal)
m∠lon = m∠1 (corresponding angles are equal).
Therefore; m∠2 = m∠1 (substitution property)
3x + 25 = 7x + 5
Subtracting 5 and 3x from both sides of the equation:
3x + 25 - 5 - 3x = 7x + 5 - 5 - 3x
4x = 20
dividing through by 4:
4x / 4 = 20 / 4
x = 5
Given that:
m∠3 = -2x + 70
substituting x = 5:
m∠3 = -2(5) + 70 = 60
m∠3 = 60°
Therefore:
m∠4 + m∠2 + m∠3 = 180° (substitution)
(155 - 3x) + (7x + 5) + (-2x + 70) = 180
(-3x + 7x - 2x) + (155 + 5 + 70) = 180
2x + 230 = 180
2x = -50
x = -25
Therefore; m∠3 = -2x + 70 = -2(-25) + 70 = 50 + 70
m∠3 = 120°
