Answer:
m ∠ABD = 140°
m ∠DBC = 40°
Step-by-step explanation:
∠ (15x - 4) + ∠(5x - 8) = 180°
15x - 4 + 5x - 8 = 180
20x -1 2 = 180
20x = 180 + 12
x = 9.6
m ∠ABD = 15x - 4 = 140°
m ∠DBC = 5x - 8 = 40°
Answer:
464 π in²
Step-by-step explanation:
The smallest circle has a radius of 8 in.
The middle circle has a radius of 8 + 4 = 12 in.
The largest circle has a radius of 12 + 4 = 16 in.
So the sum of the areas is:
π (8 in)² + π (12 in)² + π (16 in)²
= 64π in² + 144π in² + 256π in²
= 464π in²
Answer:
151.4496 cm²
Step-by-step explanation:
The area of a trapezoid is found using the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases and h is the distance between them. Fill in the numbers and do the arithmetic.
A = (1/2)(22.2 cm + 8.52 cm)(9.86 cm) = 151.4496 cm²