The technician expects to find 24 defective bulbs when 336 are tested. Which statement explains whether the technician’s reasoning is correct, based on the information in the table?
The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.
The reasoning is correct. The number of defective bulbs doubles, then triples, so the next number should be four times larger, regardless of the number of bulbs tested.
The reasoning is not correct because the technician should have found the difference between 336 and 84, then divided the result by 6.
The reasoning is not correct because the first two values in each row is doubled, so the technician should have doubled 6 to get the missing value.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

60: 45 =12: 9 =4: 3 so the answer is 4: 3