Two triangles are similar, solve for x if au = 20x + 108, ub = 273, bc = 703, uv = 44at the4, av = 372 and ac = 589.

The right information from the figure is:

AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589

The similarity of the two triangles leads to:

[AB] / [AC] = [AU] / [AV]

[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / (589) = (20x + 108) / 372

Now you can solve for x.

(372)(20x + 381) = (20x + 108)(589)

=> 7440x + 141732 = 11780x + 63612

=> 11780x - 7440x = 141732 - 63612

=> 4340x = 78120

=> x = 18

x = 18