Are the triangles similar and if so why? what is the value of x? show your work.

  yes; x=7

Step-by-step explanation:

When two corresponding angles are congruent, all angles are congruent, so the triangles are similar. The sides of the triangle on the right are 30/25 = 6/5 times the length of the sides of the left triangle, so side MP will be 6/5 times the length of JL, or (6/5)·20 = 24.

Then the expression for that length lets us find the value of x:

  24 = 4x -4

  6 = x -1 . . . . . divide by 4

  7 = x . . . . . . . add 1