Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
180 = 65 + (x-5) + x
-65 -65
115 = x - 5 + x
115 = 2x - 5
2x = 120
x = 60
The angle measures are 65, 60, and 55 degrees.
The answer would be 12, 8, 0, -3, -4.
The answer is that because 12 is a positive number so that's higher than negative, 8 goes second because its positive and higher than the others, 0 is third because negatives numbers are LOWER than 0, not higher, -3 is next because higher negative numbers are always lower, not greater than smaller numbers because -8 is LOWER than -4 since its on the left of a number line.
Answer:
x ≈ 8.3 ( to the nearest tenth )
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos41° = 
= 
= 
Multiply both sides by 11
11 × cos41° = x, thus
x ≈ 8.3
