Answer:
∠C (Interior) =78°
∠B (Interior) = 62°
Step-by-step explanation:
Given:
∠A (Interior) = 40°
∠C (exterior) = 102°
Computation:
∠C (Interior) = 180° - 102°
∠C (Interior) =78°
∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)
∠B (Interior) = 180° - 78° - 40°
∠B (Interior) = 180° - 118°
∠B (Interior) = 62°
Answer:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is

This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3

Complete the square


Rewrite as perfect squares

The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21
Adult ticket (a) = $5
Child ticket (c) = $2
785 tickets = $3280
a + c = 785 tickets
5a + 2c = $3280
c = 215 child tickets
a = 570 adult tickets
570 + 215 = 785 tickets
5(570) + 2(215) = $3280
There were 215 child tickets sold on Saturday
<span>X – 1 + 2x ≤ x + 3
--- ---
2 4=7658</span>
The answer is x=-2 because its the only one thats parallel to the y axis