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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.
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Jan 5, 2018
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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.
Mathematics
middle-school
Dario Ferrer
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Answer:
x in my case would equal -.25 i think
Explanation:
Max Al Farakh
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Jan 8, 2018
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Max Al Farakh
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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
Joelhoro
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Jan 12, 2018
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Joelhoro
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