More algebra pretending to be geometry. These questions should be banished from the planet.
A transversal across parallel lines generates the usual congruent and supplementary angles; here our pair are supplementary, adding to 180 degrees. Geometry done.
(2x + 12.8) + 117.6 = 180
2x = 180 - (12.8 + 117.6) = 49.6
x = 49.6/2 = 24.8
Answer: 24.8
After a thorough search, I found the same question on the internet. Please refer to the attached picture. If it's the same one with yours, then the answer is letter C -
The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.
It is like a fixed cost that is incurred by the food stall that they need to pay for not considering the sales or income they would earn.
Your plane is 3x-y+4z=32 and you want to know when it crosses the z-axis or in other words intersects it. Along the z axis only z changes, additionally it goes through the origin (0,0,0).
So we can insert x=y=0 into the plane to calculate the point along the z-axis where it intersects the plane:
3x-y+4z=32
insert 0s:
4z=32
z=8
so the solution plane intersects the z-axis at (0,0,8)