Find the Angle ? Between Two Nonvertical Lines $$L _ { 1 }$$

question 34

Multiple Choice

Find the angle ? between two nonvertical lines $$L _ { 1 }$$ and $L _ { 2 }$ .The angle ? satisfies the equation? $$\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$$ ? where $m _ { 1 }$ and $m _ { 2 }$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ ,respectively.
(Assume that $m _ { 1 } m _ { 2 } \neq 1$ . ) ? $L _ { 1 }$ : 5x - 4y = 5 $L _ { 2 }$ : x + y = 1
?
Round your answer to one decimal place.
?

• A)83.7º
• B)84.7º
• C)85.7º
• D)86.7º
• E)87.7º

---

Definitions:

Immune Functioning

The complex processes and mechanisms that protect an organism from infections and diseases through the detection and destruction of pathogens.

Neurodegenerative Disorder

A condition involving the progressive loss of nerve cell function or structure, leading to declining cognitive and physical abilities.

Alzheimer's Disease

A progressive neurodegenerative disorder characterized by cognitive decline and memory loss, commonly seen in older individuals.

Age-Related Declines

The natural decrease in physical, cognitive, and emotional capacities that tend to occur as individuals age.