Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
The answer would be 7/9. If the spinner has 9 sections and you want to know the probability of NOT landing on a 1 or a 9, you would subtract 2 from 9 since there are 2 numbers and 9 total.
A p + 10. Addition is having/giving more. Lynn has more then Carol, so if she has 30, Lynn has 40. So the answer is A.
Answer: it will take 5 people 6.4 hours to do the work.
Step-by-step explanation:
The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,
h is inversely proportional to p
Introducing a constant of variation, k, it means that
h = k/p
It takes 8 hours for 4 people to paint the inside of a house. Therefore
8 = k/4
k = 8×4 = 32
The formula becomes
h = 32/p
To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes
h = 32/5 = 6.4 hours
The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate
The appropriate selection is
D) 200.9 ft
