Answer:
Step-by-step explanation:
The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus
d² = 6² + 4² = 52
d = √52 = 7.2 km
The total distance that he drove on his birthday is
6 + 4 + 7.2 = 17.2 km
Convert the timing into hours only:
11:15 = 11.25h
9:45 = 9.75h
11:45 = 11.75h
7:45 = 7.75h
10:45 = 10.75h
To find the average, we need to find the middle of these timing:
11.25 + 9.75 + 11.75 + 7.75 + 10.75 = 51.25
51.25 ÷ 5 = 10.25h = 10:15 am
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Answer: The average time it docks is 10:15 am.
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Answer: Yes
Step-by-step explanation:
10x - 5x = 5x
5x + 5 = 5x + 5
Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
Answer:
Y = 23°
X = 28°
Step-by-step explanation:
[] First, we can tell that (5y - 4) + (3y) = 180 because the parallel lines allow for corresponding angles, and then they are supplementary;
(5y - 4)° + (3y)° = 180°
5y° - 4° + 3y° = 180°
8y° - 4° = 180°
8y° = 184°
y = 23°
[] Next, we can solve for (5y - 4) and use that number as a corresponding angle to solve for (2x + 13);
5y - 4
5(23) - 4
115 - 4 = 111
[] Last, we will solve for x using the same reasoning as how we solved for y;
111° + (2x + 13)° = 180°
111° + 2x° + 13° = 180°
111° + 2x° + 13° = 180°
124° + 2x° = 180°
2x = 56°
x = 28°
