Solve for x. Question options:

A)

5

B)

4

C)

6

D)

3

x = 3

Step-by-step explanation:

set up proportion based on corresponding sides of similar triangles:

15 / 10 = 15 + x / 12

cross-multiply:

10(15 + x) = 15(12)

150 + 10x = 180

10x = 30

x = 3

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47