Answer:
AOB = 40 degrees
Step-by-step explanation:
The two smaller angles, AOB and BOC, add up to form AOC. That means that the angles of AOB and BOC sum up to the angle of AOC

Answer:
x = - 4, x = 0, x = 1
Step-by-step explanation:
To find the zeros equate p(x) to zero, that is
3x³ + 9x² - 12x = 0 ← divide through by 3
x³ + 3x² - 4x = 0 ← factor out x from each term
x(x² + 3x - 4) = 0
x(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
ANSWER

EXPLANATION
The basic sine function is

The transformed sine function has equation

where a=1 is the amplitude
2π/b=2π is the period
c/b= 4 is the horizontal shift 4 units left.
d=-4 is a downward vertical shift of 4 units.
The required sine function is:

Answer:
composite numbers are numbers that can be divided by other numbers and itself.
Step-by-step explanation:
Answer:
∠ BCE = 80°
Step-by-step explanation:
∠ BCD = ∠ ABC = 35° ( alternate angles are congruent )
∠ DCE and ∠ CEF are same- side interior angles and supplementary, thus
∠ DCE + ∠ CEF = 180° , that is
∠ DCE + 135° = 180° ( subtract 135° from both sides )
∠ DCE = 45°
Thus
∠ BCE = ∠ BCD + ∠ DCE = 35° + 45° = 80°