The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.
Let
x: number of months
y: amount paid.
The equation of the line is
y = 15x + 25
y-intercept = 25
the slope = 15
answer Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y-intercept)
If the triangles ABC and A'B'C' are similar, then
angle A = angle A'
8x-10 = 6x+10
8x-6x = 10+10
2x = 20
x = 20/2
x = 10
So angle A is
angle A = 8x-10
angle A = 8*10-10
angle A = 80-10
angle A = 70
making that the measure of angle A' as well
This is why the answer is choice A
The list price was $465 (465=387.5 / (5/6))according to the information on the question above. This problem can be solved using the percentage and fraction principle of the mathematics. In this problem, 16 and two-thirds % is equal to the one-sixth fraction, therefore, the current price is the 5/6 portion of the list price.