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In-s [12.5K]
3 years ago
14

The graph below shows a translation of preimage triangle CDE to image triangle C’D’E’. What are the coordinates of image vertex

D’?

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

D.(-2,2)

Step-by-step explanation:

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Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

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Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

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Therefore cos80 = \frac{x}{OB}

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Therefore 71 ft is the distance between B and the top of the hill.

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10 - 9 x 5 + 6 x (-2)
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