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professor190 [17]
3 years ago
5

The value of r? Do not round your answer.

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

Answer:

r = 31.2

Step-by-step explanation:

Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is

\frac{AE}{BD} = \frac{CE}{CD}, substitute values

\frac{r}{19.5} = \frac{64}{40} ( cross- multiply )

40r = 1248 ( divide both sides by 40 )

r = 31.2

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