Which of the following groups of measurements will form a triangle? a 3 in., 10 in., 15 in.
b 5 in., 7 in., 10 in.
c 2 in., 15 in., 20 in.
d 3.5 in., 3.5 in., 7 in.

non of the above

in a 3² + 10²=109 which is not the square of 15in

b 5² + 7²=74 which is not the square of  10 in

c2² + 15²=229 which is not the square of 20 in

d 3.5² + 3.5²=24.50 which is not the square of 7

Step-by-step explanation:

false

step-by-step explanation:

false : it can not go to 9 the highest that part can go is 7

here is your proof

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