Question

given that the two triangles are similar, solve x if AU=20x+108, UB= 273, BC= 703, UV= 444, AV= 372 and AC=589.

Answer 1

does it have a picture?

Answer 2

Answer:

AU           AB

------ = ---------

AV            AC

20x + 108         20X + 381

---------       = ---------------

372                        589

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

11780 X + 63612 = 7440X + 141732

4340 X - 78120 = 0

4340 X = 78120

X = 78120/4340 = 18

CHECK:

AU = 20*18 + 108 = 360 + 108 = 468

AB = 741

468/372 = 741/589 are equal ratios

Step-by-step explanation: