Please complete the attached proof. Thanks.

So it seems yu got two right already, so I will tell you the ones you got wrong.

The first one you got wrong was supposed to be Transitive Property and the second one you got wrong should be Substitution Property Of Equality.

Step-by-step explanation:

Transitive property means if a=b then b=c, so a=c

In this case you AM=MB, so MB=BD, which has the same concept as a=b nd b=c so a=c.

Substitution Property Of Equality means that if x=y, then x can subsitute for y in any equation and y can do the same.

It only make sense that the secodn you got wrong would be substitution, only because if you look closely, Distributive is usually used for ( ) type problems, There isn't any division really involved, so you can cancel out anything with division it in. You can also cancel out anything with subtraction as well because there isn't really a sign of subtraction either. You had two right so you can also cancel out those as well. Multiplication can also b counted out because most of it was adding and simplification. Lastly, there isn't any midpoint involved, so you don't need that either.

I hoped this helped you! Have a blessed day! ( I'm sorry if I got any of it wrong >-<)

i dont know men

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