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Paraphin [41]
4 years ago
8

We are currently learning triangle similarity and about dilations in geometry. We have been using cross multiplying to figure th

ese out but this one has me stumped. Please help!

Mathematics
1 answer:
miss Akunina [59]4 years ago
4 0
Took me a minute to think.

Form ratios.

x, the small triangle, forms a ratio with 6, the big triangle.

The part of the side that is equal(with the dash) that is part of the small triangle is equal to 6-x, the big triangle.

Yes, you can cross-multiply here!

\frac{6}{x}  =  \frac{8}{6-x}

<em>Now,</em><em> </em>cross multiply.
P.S. Use distributive property.

36-6x = 8x

Add 6x on both sides.

36=14x

Divide by 14 on both sides.

x = \frac{36}{14} = \frac{18}{7}



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