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GodSaveTheDucks asked Jun 23, 2023

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40 votes

I need help please with this question.

Mathematics
college

GodSaveTheDucks asked Jun 23, 2023

by GodSaveTheDucks

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2 Answers

16 votes

Answer:

Explanation:

If u add 6 and 4 together then ya get 10. If ya add those two then u will see that the line is not much longer then line x.

Arne Lund answered Jun 25, 2023

by Arne Lund

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28 votes

since they're similar, let's use the proportions of their sides

$\cfrac{NO}{LK}~~ = ~~\cfrac{MN}{JK}\implies \cfrac{x}{15}~~ = ~~\cfrac{6}{9}\implies \cfrac{x}{15}~~ = ~~\cfrac{2}{3}\implies x=\cfrac{30}{3}\implies x=10 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{perimeter of MNO}}{4~~ + ~~6~~ + ~~10~~ = ~~20}~\hfill$