A manager for a factory farm is ordering corn. Each animal eats 2.3 kg of corn per day. Considering all the inputs associated with growing corn in an industrialized manner (fertilizers, pesticides, machinery, etc.) it takes 2 liters of oil to produce 10 grams of corn. How much oil is used to grow the corn for a one week supply of corn for the 3000 animals the manager must feed?

Oil need for supply = 9,660,000 liters

Explanation:

Given:

Number of animal = 3,000

Per animal eat = 2.3 kg per day

Number of days = 7

oil need 2 liter per 10 grams of corn

Find:

Oil need for supply

Computation:

Oil need for 1 kg of corn = 200 liter

Amount of corn = 3,000 × 2.3 × 7

Amount of corn = 48,300 kg

Oil need for supply = 48,300 × 200

Oil need for supply = 9,660,000 liters

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11