Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:


To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3

That means x = 15
Answer
Find out the how long did they rest in 8 hours.
To prove
As given
contestants in a dance-a-thon rest for the same amount of time every hour.
A couple rests for 25 minutes in 5 hours .
As
25 mintues = 5 hours

1 hours = 5 mintues
Thus in 1hours a the dance -a-thon rest for 5 mintues.
Now for 8 hours.
8 hours = 8 × 5 mintues
= 40 mintues
Therefore in 8 hours a dance-a-thon rest for 40 mintues.
This figure is a triangle. Using the definition of triangles, it is determined that angles 1, 2, and 3 add up to 180 degrees. In this instance, we know the values of 2 combined angles. With this information it is only necessary to subtract the values of angles 1 and 2 (134) from 180 degrees to find the value of angle 3. This leads us to the solution that angle 3 has a value of 46 degrees.