Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:

Multiplying everything by 10x


This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;

Thus, the equation to solve for x is 
<u>Value of x:</u>
The value of x can be determined by solving the equation 
Thus, we have;


Thus, the value of x is 20.
Answer:
d. 20+10+5+2.5+...
Step-by-step explanation:
No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.
Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)