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Likurg_2 [28]
3 years ago
11

A triangle was dilated by a scale factor of 2. If cos a° = three fifths and segment FD measures 6 units, how long is segment DE?

Mathematics
2 answers:
kiruha [24]3 years ago
6 0

Answer:

10 units

Step-by-step explanation:

Given that:

Cos a = 3 /5

From trigonometry ;

Cos θ = Adjacent / hypotenus

Side Adjacent angle a = 3 = FD

Hypotenus = 5 = DE

3 / 5 = FD / DE

FD = 6 units

3/5 = 6/DE

DE * 3/5 = 6

DE = 6 ÷ 3/5

DE = 6 * 5 /3

DE = 30 /3

DE = 10 units

Artist 52 [7]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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Answer:

CD=4 \text{ cm }

Step-by-step explanation:

We have a similarity of triangles. Once the side BC and ED are parallel,

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$\frac{10}{AC} =\frac{5}{4} $

Once AC=AD+CD \Rightarrow AC=4+CD

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