Mathematics
samalexander
2016-04-26 06:13:12
two triangles.are.similar, solve for x if au=20x +108, ub=273, bc= 703, uv=444, AV = 372 and AC=589
ANSWERS
patekali
2016-04-26 06:21:18

If two triangles are similar then the corresponding sides are in proportion. Thus,AB / AU = BC / UV = AC / AVAB / (20x+108) = 703 / 444Where AB is equivalent to:AB = AU + UBAB = 20x + 108 + 273AB = 20x + 381Therefore going back to the first equation:(20x + 381) / (20x + 108) = 703/444444 (20x + 381) = 703 (20x + 108)8880x + 169164 = 14060x + 7592414060x - 8880x = 169164 – 759245180 x = 93240x = 93240 / 5180x = 18          (ANSWER)

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