Answer:
7) 49°
8) 77°
9) 87°
10) 135°
Step-by-step explanation:
7) The angles are between the parallel lines, so are "interior." They are on opposite sides of the transversal, so are "opposite interior" angles. Such angles are congruent, so ...
... ? ≅ 49°
8) The angles are adjacent interior angles, so are supplementary.
... ? + 103° = 180°
... ? = 77°
9) The angles are outside the parallel lines, so are "exterior." They are on opposite sides of the transversal, so are "opposite exterior" angles. Such angles are congruent.
... ? ≅ 87°
10) These are vertical angles, so are congruent. (The other parallel line is irrelevant and doesn't need to be there for this relationship to be true.)
... ? ≅ 135°
Answer:
Trapezoid Area = [(sum of bases) / (2)] * height)
Trapezoid Area = (10) / (2) * height
15 = 5 * height
height = 3 feet
Step-by-step explanation:
Answer:
The length of the border is approximately 4 feet.
Step-by-step explanation:
Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:
Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:
The length of the border is approximately 4 feet.
6. 5 shirts 20 minutes Multiply both by 3 to get to 60 minutes
15 shirts 60 minutes
15 shirts per hour
7. 250 miles + 50 miles = 300 miles
300 miles / 5 hours = 60 miles per hour
8. 360 pages / 12 hours = 30 pages per hour400 pages / 30 pages per hour = 13 1/3 hours
= 13 hours and 20 minutes
