Answer:
The values of x that make the triangles congruent.
x = 6 and x = 3
Step-by-step explanation:
Given
Given that the triangles are congruent.
According to the SAS (Side-Side-Side)
AC = DC
AB = DB
so
AC = DC
substituting AC = 5x-2 and DC = 3x+10
5x-2 = 3x+10
5x-3x = 10+2
2x = 12
divide both sides by 2
2x/2 = 12/2
x = 6
and
AB = DB
substituting AB = 5x and DB = 4x+3
5x = 4x+3
5x-4x = 3
x = 3
Therefore, the values of x that make the triangles congruent.
x = 6 and x = 3
