Answer:
MB // HG by the converse of the Corresponding Angles Theorem ⇒ C
Step-by-step explanation:
Two lines are parallel if intersected by a line and formed one of these types of angles.
- Corresponding angles equal in measures (shaped letter F)
- Alternate angles equal in measures (shaped letter Z)
- Interior supplementary angles, the sum of their measures is 180° (shaped letter U)
In the given figure, there are 4 lines intersected
∵ Lines MB and HG intersected by line BG
∵ There are two angles marked by the same mark
∴ They are equal in measures
∵ They are in the corresponding position
∴ Lines MB and HG are parallel
∴ MB // HG by the converse of the Corresponding Angles Theorem

where A=final amount
P=principal
r=rate in decimal form
t=time in years
we are given that P=500, r=12%=0.12
we want to find A when t=10, 20, and 30
so


when t=10, 
when t=20, 
when t=30, 
"4x + 6 = 94" is the equation among the following choices given in the question that could be used to solve the problem. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and it has actually come to your help.
For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).