I believe the answer would be C, based on your previous statements.
Answer:
Conclusion from the given data:
a(x) = 2x - 4b(x) = x + 2
Next, we will review each option
First option
Second option

Third option

= x - 6
Fourth option 

= 3x - 2
From the above evaluations, only option A results in a quadratic function
Response:
Tan x = 125/500 = 0.25
therefore, x = arctan (0.25)
= 14 degrees
Answer:
The measurement of angle HBC is m∠HBC=61°
Step-by-step explanation:
The given problem states that
The line BH divides angle EBC into two equal parts,
consult the attached diagram for clarity
thus
m∠EBC=m∠EBH+m∠HBC
where m∠EBH=m∠HBC
therefore
m∠EBC=2(m∠EBH)
Insert the provided values to solve for a

Determine the value of angle EBH
m∠EBH=(4(4)+45)=61°
Keep in mind that
m∠EBH=m∠HBC
therefore
The measurement of angle HBC is m∠HBC=61°