Complement adds to 90
complement of A is 90-A
supplement is adds to 180
supplemetn of A is 180-A
2(90-A) is -40+180-A
2(90-A)=-40+180-A
2(90-A)=140-A
distribute
180-2A=140-A
add 2A to both sides
180=140+A
minus 140 both sides
40=A
A=40 degres
Area of the shaded region to be covered with grass is 204 yd²
Step-by-step explanation:
- Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.
Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) = 40 yd
Distance between them = 12 yd
⇒ Total area = 1/2 × 40 × 12 = 240 yd²
- Step 2: Find the area of the lap pool.
Area = length × width = 12 × 3 = 36 yd²
- Step 3: Find the area of the shaded region
Area to be covered with grass = 240 - 36 = 204 yd²
First, we calculate the area of one paver. This is:
12 x 12 = 144 square feet
Now, the number of pavers required may be determined by dividing the total surface area to be covered by the surface area of one paver, as:
number of pavers = 600 / 144
Number of pavers = 4.2
Because 0.2 pavers can not be obtained, 5 pavers are needed to completely cover 600 square feet.
A & b would be the congruent pair of angles
