Answer:
82 degrees.
Step-by-step explanation:
The lines AB, HG, IJ, and DC are parallel lines and the line DB is the transversal that is intersecting this group of parallel lines. It is given that the angle formed by the intersection of HG and DB is 98 degrees. Since the line is straight, the supplementary angle can be calculated by subtracting 98 degrees from 180 degrees, which is 82 degrees. Alternate angles are the angles that are formed by the intersection of the group of parallel lines and the transversal on the opposite sides of the transversal. The angles are corresponding angles if they are present on the same side of the transversal. Due to the property of corresponding angles, the angles formed by the intersection of IJ and DB are also 98 degrees and 82 degrees respectively. By the property of the alternate angles, the angle BDC is also 82 degrees. Therefore, 82 degrees is the correct answer!!!
Answer:
18
Step-by-step explanation:
The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18
Collect and simplify like terms.
8c - 4 - 2c + 5
= (8c - 2c) + (-4 + 5)
= (6c) + (1)
= 6c + 1
Therefore your answer is 6c + 1
For a, you could use the volume of a sphere divided by two to solve for a dome (like when you cut a sphere in half).
For b, you could use the volume of a rectangular prism divided by three when solving for a rectangular pyramid.
This is because the volume for a rectangular prism is V=lwh, and for a rectangular prism the volume is V= (1/3)lwh
