Answer:
The change in x = Δx = -1
Step-by-step explanation:
Given the ordered pairs
Here,
Change in x can be calculated by subtracting the value of x₁ = 6 from x₂ = 5.
Change in x = Δx = x₂ - x₁ = 5 - 6 = -1
Thus, the change in x = Δx = -1
Probability=number of specific outcomes / total number of possible outcomes...
Since they want to know the probability of getting all of the colors the probability is just one.
The sum of all probabilities is always equal to one. In this case:
1/4+1/4+1/4+1/4=1
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
∠QRS and ∠CDE are congruent.
∠RST and ∠DEB are congruent.
∠STQ and ∠EBC are congruent.
∠TQR and ∠BCD are congruent.
You can conclude the above angles are congruent because ∠R and ∠D has the same sign on their angle and so does ∠S and ∠E.
