Answer:
D
Step-by-step explanation:
Roots into factors:
x = -4 ----> (x + 4)
x = i -----> (x - i)
x = 5 -----> (x - 5)
(x + i)(x - 4)(x + 5)
(x - i)(x² - 4x + 5x - 20)
(x - i)(x² + x - 20)
x³ + x² - 20x - (ix² + ix - 20i)
x³ + (1 - i)x² - (20 + i)x + 20i
Using the rules of logarithms, you can change it to
ln() + ln() =
ln(27)
This is because when you have a factor in front of a logarithm, that turns into an exponent, and when you add logarithms, you multiply the factors inside of the logarithm.
So your final answer is
D.
Answer:
Step-by-step explanation:
Given a transversal that intersects a set of parallel lines, various angles are formed.
When given this situation in geometry, these angles have different names and statements (primarily theorems) which justify their relationship.
There are 8 primary types of possible angles of parallel lines including:
- Alternate Interior
- Alternate Exterior
- Same-Side (Consecutive) Interior
- Same-Side (Consecutive) Exterior
- Corresponding Angles
- Vertical Angles
- Supplementary Angles
- Linear Pair
________________________________
According to what is given in the problem, we know that:
m∠3 = 135°.
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To solve for m∠7, we must identify the relationship that ∠3 and ∠7 have.
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Here is the solution in proof form:
_______________
Statement | Reason
m∠3 = 135° | Given
m∠3 ≅ m∠5 | Vertical Angles
m∠5 ≅ m∠7 | Corresponding Angles Theorem
m∠3 ≅ m∠7 | Transitive Property of Equality
m∠7 = 135° | Definition of Congruent Angles
Answer:
The domain is the input.
Step-by-step explanation:
The domain is the input, the independent value—it's what goes into a function. The range or y-value is the output and the dependent value is the outcome.