Triangle ABC is translated to create triangle DFG as shown in image

In these triangles, side AB is congruent to side DF and side BC is congruent to side FG. Determine the values of x and y

x=3 and y=3

Step-by-step explanation:

explanation for x

using distributive property, 3(2x+10) should be 6x + 30 because you need to multiply both inside numbers by the outside number.

Next, you need to isolate the variable so the 12 is suptracted from thirty which leaves you 6x+18 and 12x. Since six is half of twelve, six is half of the other side, and then there is 18 which is the other six, so that means 6x=18, so simplifies, x=3 because 6×3=18

explanation for y

2(2y-3) using the distributive property, should be 4y-6. Take the 12 from 2y+12 and subtract six from it and you get 2y+6 and 4y. So, since 2y plus 6 equals 4y, 2y is half of 4y and then there is a plus six, which equals the other half, so 2y=6, and simplified, y=3