Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
- (6x + 8) + (12x - 8) = 180
Combine like terms.
Divide both sides by 18.
Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
m∠DEF = (12x - 8)°
Answer:
12 2/3 km/hour or 12.666 km/hour
Step-by-step explanation:
Because 3 1/6 is the rate for every quarter hour, simply multiply that rate by 4 in order to get the average speed over the course of an hour.
Answer: C and E
Step-by-step explanation:
The plane starts at 32,460 feet.
It then ascends 1645 feet. Ascending means it's going up higher. So we add.
32,460 + 1645 = 34,105 (C)
From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.
But first we have to figure out how much we are subtracting.
3/5 is equal to .6
Multiply to find 3/5 of current height.
34,105 × .6 = 20,463
So the plane descends by 20,463 feet.
34,105 - 20,463 = 13,642 feet (E)
6 faces, 12 edges, and 8 vertices
Answer:1700
Step-by-step explanation:
In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.
