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likoan [24]
3 years ago
5

A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte

d to increase at a rate of 4% per year. Which equation models the number of butterflies, in thousands, in the park after n years? A. 0.04(20)n B. 20(1.04)n C. 1.04(20)n D. 20(0.04)n
Mathematics
1 answer:
lesantik [10]3 years ago
3 0
C. seems more plausible
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Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ \frac{AB}{DE}=\frac{4}{2}=2

∵ BC = 6 units

∵ EF = 3 units

∴ \frac{BC}{EF}=\frac{6}{3}=2

∵ CA = 2 units

∵ FD = 1 units

∴ \frac{CA}{FD}=\frac{2}{1}=2

∴ \frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

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