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

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC-example-1

2 Answers

7 votes

Answer:

x in my case would equal -.25 i think

Explanation:

User Max Al Farakh
by
7.1k points
1 vote
the answer:
the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:

AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703

so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20

exact value of x depends on the value of AB
User Joelhoro
by
6.6k points
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