PLSSS HELPP I WILL GIVE BRAINLIEST NEED ASAPPP

s = 130 degrees

Step-by-step explanation:

decagon has a 1,440 degrees interior angles

equation: 1,440 = s + 1310

to find s, add all the known angles

⇒ s + 150 + 170 + 160 + 130 +120 + 160 + 105 + 160 +155

⇒ s + 1,310

equation:

s + 1310 = 1440

subtract each side by 1310

⇒ s + 1310 - 1310 = 1440 - 1310

⇒ s = 130

answer

Step-by-step explanation:

*explains step by step in details*

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T-T

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