The exterior angle is supplementary to the adjacent angle (they form a linear pair) and is the sum of the two angles in the triangle that are not adjacent to it. For example, in number 2, the exterior angle is 28+40=68 degrees. You can use the other method to check. 68 degrees is supposed to be in a linear pair with 112 degrees, which it is. So the answer to number 2 would be 68 degrees.
Try doing this for the rest of them
5. y = -3 x - 8
6. y = - 1/2 x + 1
Answer:
a graph would be needed to answer this question
Step-by-step explanation:
Answer:
The answer is 5300 units.
Step-by-step explanation:
The equation will be exactly lie below if the price is 5$:

Roots of the parabol will be:

In fact that there will be no negative production, The consumer surplus will be 5300 units
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 :
- 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 :
- 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous