Please help. And show how you got your answer so I know how to do it.

  9. (x, y) = (6√3, 3)

  10. (x, y) = (14, 14√2)

  11. (x, y) = (2√6, 3√2)

  12. (x, y) = (6, 2)

Step-by-step explanation:

Because you have memorized a short table of trig functions, you know that the ratio of side lengths of a 30°-60°-90° triangle is 1 : √3 : 2, and the ratio of side lengths of a 45°-45°-90° triangle is 1 : 1 : √2.

In each case, we compare the given side ratios to the known ratios for the kind of triangle we have. Then we multiply the triangle ratios by a scale factor that makes the given number match the corresponding ratio value. Matching the other ratio values, we can determine the values of the variables.

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9. Using the side ratios for the 30-60-90 triangle, you have

  6 : x : y+9 = 1 : √3 : 2

Multiplied by 6, the ratios on the right are ...

  6 : x : y+9 = 6 : 6√3 : 12

  x = 6√3

  y +9 = 12

  y = 3

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10. Using the side ratios for the 45-45-90 triangle:

  14 : x : y = 1 : 1 : √2

Multiplying the ratios on the right by 14, we have ...

  14 : x : y = 14 : 14 : 14√2

  x = 14

  y = 14√2

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11. Again using the 30-60-90 ratios:

  √6 : y : x = 1 : √3 : 2

Multiplying the ratios on the right by √6, we have ...

  √6 : y : x = √6 : 3√2 : 2√6

  y = 3√2

  x = 2√6

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12. Again, using the 45-45-90 ratios:

  x : 3y : 6√2 = 1 : 1 : √2

Multiplying the ratios on the right by 6, we have ...

  x : 3y : 6√2 = 6 : 6 : 6√2

  x = 6

  3y = 6

  y = 2

its d. the first coordintaes are 10,32

step-by-step explanation: