Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
Answer:
choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.
Step-by-step explanation:
The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.
An exponential or geometric function can be expressed as a power of t, where t is time.
This means that if you can fit all three values into the formula
S = S0 * (1+r)^t
for a constant r, and t=1, 2, 3 (or 0, 1, 2 for simplicity), then it's exponential.
You can see right away that the first and second sets of numbers are not exponential. These are linear, because each month is a fixed value greater than the previous one.
If you look at the formula above, you can see that each successive time interval's growth can be calculated by multiplying a fixed value to the previous intervals. For example, the second month is given by:
S(1) = S0 * (1+r)
S(2) = S0 * (1+r)^2 = S0 * (1+r) * (1+r) = S(1) * (1+r)
Since each month's sales is 102% the previous month's in the fourth set, this is the one you want.
Answer: C
3sqrt2
Step-by-step explanation:
Answer:
1/16.
Step-by-step explanation:
2^-4 = 1/2^4
= 1/16.