Write 4-6 sentences describing how many acute and obtuse angles are created when 2, 3, or 4 parallel lines are crossed by a single transversal that is not perpendicular to them. Create pictures to help. Identify how many unique acute angle measures there are and how many unique obtuse angle measures there are, explaining your reasoning. Propose a generalization for when there are n parallel lines, and confirm the generalization matches what was found for the cases of 2, 3, or 4 parallel lines. Prove the generalization, explaining all of your reasoning.

answer: i'm not sure

step-by-step explanation:

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

a

step-by-step explanation:

its wrong