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33 votes
33 votes
Please show work and explain every step!

Please show work and explain every step!-example-1
User Justanotherhobbyist
by
2.9k points

1 Answer

26 votes
26 votes

Answer:

x = 6

FE = 28

Explanation:

The triangles are similar so their side lengths are proportional

we can use that proportional value to find x and FE

(5x-2)/42 = (4x+2)/39 cross multiply expressions

195x - 78 = 168x + 84 get like expressions to the same side of the equation

195x - 168x = 84 + 78

27x = 162 divide both sides by 27

x = 6 now to find FE replace x with 6 in the expression

5x - 2 = 5×6 - 2

FE = 28

User Saurabh Mistry
by
3.2k points
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