Math help ( please show work)

list

6,24,51,72,12,54,80,44,57,64,92,26,66,96

your welcome!

1. she sold more on day 2 because if you turn .85 into a fraction{85/100} and you give 7/9 and 85/100 the same denominator{180} you can see which one has the bigger numerator and that one will be the most sold.

2. yes it is in simplest form, because if you look at 38 and 53 's greatest common factor, you cant find one so you cant reduce it

3. no, this is not a prime factorization because the numbers are not all prime numbers, the correct prime factorization is:   2 x 5 x 2

4.   in 12 days he will run and play trumpet again

work 4 4: 123123123123

                123412341234     in 12 days he will play the trumpet and run on the same day

step-by-step explanation:

i am normally pretty good at math, im new to this site, but im 1 grade ahead in my math, i luv math try my answers out, see how they work

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

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if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°