Veronica got 3 times as many gifts as natalie. together veronica and natalie got a total of 12 gifts. how
many gifts did natalie (x) and veronica (y) each get?

Natalie got 3, Veronica got 9.

Step-by-step explanation:

N = Natalie

If Veronica got 3 times as many as Natalie, then she got 3N.

Add them together:

N + 3N = 12

4N = 12

N = 3

Therefore,

Natalie got 3 (N = 3)

Veronica got 9 (3N = 3 x 3 = 9)

Step-by-step explanation:

X = Natalie

Y = Veronica  

Veronica got three times as many presents as Natalie so 3x and Natalie is x and this all equals 12.

3x+x=12

=   4x=12

So, now solve the equation

÷4      ÷4

   x=3 = Natalie

12-3=9

   y=9 = Veronica

(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