itsmaddierae11 itsmaddierae11

14-12-2017
Mathematics

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Can I please get some help?? Use the diagram and the given information to find the unknown length.

Can I please get some help Use the diagram and the given information to find the unknown length class=

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jimthompson5910 jimthompson5910

14-12-2017

The diagram shows that
AB = 5
AC = AB+BC = 5+2 = 7
DE = 7
DF = DE+EF = 7+x

So,
AB/AC = DE/DF
5/7 = 7/(7+x)
5(7+x) = 7*7
5(7+x) = 49
35+5x = 49
5x = 49-35
5x = 14
x = 14/5

So EF = 14/5 in fraction form
In decimal form, EF = 2.8 (since 14/5 = 2.8)

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