Question

Please help. Thank you

Answer 1

You didn't state which problem you need help with, so I will solve problem #1 and #2. (If you need a different problem, state so in the comments).

The Law of Sines is a proportion:
`(sinA)/(a) = (sinB)/(b) = (sinC)/(c)` : where A, B, C is the angle and a, b, c are the corresponding sides.

1)

`(sin50)/(23)= (sin76)/(b)` Set up the proportion

(sin 50)*b = (sin 76)*23 cross multiply

b = (sin 76)*23 ÷ (sin 50) isolate the variable

b = 29.13 use calculator to simplify

2)

`(sin102)/(35) = (sin40)/(s)` Set up the proportion

(sin 102)*s = (sin 40)*35 cross multiply

s = (sin 40)*35 ÷ (sin 102) isolate the variable

s = 23 use calculator to simplify