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lisabon 2012 [21]
3 years ago
10

Given the two triangles shown, find the value of x

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:

DE/CB = EF/BA

x/10 = 15/6

x = 150/6 = 25

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The correct answer to this is 200 and 34.90%

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

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100=2.868068833652*x       - we divide both sides of the equation by (2.868068833652) to get x

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now we have:

1046 is 34.866666666667% of 3000

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