Mathematics

 ```Referring to the figure, complete the proportion (what is_x000D_ the numerator showing as a question mark):_x000D_ x ?_x000D_ — = ——_x000D_ 8 16_x000D_ ``` 2 Answer: ``` Solve for x in problem #1._x000D_ ``` 3 Answer: ``` Referring to the figure, complete the proportion (what is_x000D_ the denominator showing as a question mark):_x000D_ 4 x_x000D_ — = —_x000D_ x ?_x000D_ ``` 4 Answer: ``` Solve for x in problem #3._x000D_ ``` 5 Answer: ``` Referring to the figure, complete the proportion (what is_x000D_ the numerator showing as a question mark):_x000D_ ? x_x000D_ — = —_x000D_ x 3_x000D_ ``` 6 Answer: ``` Solve for x in problem #5._x000D_ ``` 7 Answer: ``` Referring to the figure, on the right triangle shown, find the_x000D_ unknown side length. (If necessary, round to the nearest tenth.)_x000D_ ``` 8 Answer: ``` Referring to the figure, on the right triangle shown, find the_x000D_ unknown side length. (If necessary, round to the neartest tenth.)_x000D_ ``` 9 Answer: ``` Referring to the figure, on the right triangle shown, find the_x000D_ unknown side length. (If necessary, round to the neartest tenth.)_x000D_ ``` 10 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 6, 8, 10_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 11 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 3, 4, 6_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 12 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 6, 2, 5_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 13 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 5.4, 3.8, 6.5_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 14 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 1, 2, 3_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 15 Answer: ``` Classify the triangle formed by the given side lengths:_x000D_ 1.6, 3.0, 3.4_x000D_ a. right triangle_x000D_ b. acute triangle_x000D_ c. obtuse triangle_x000D_ d. not a triangle_x000D_ ``` 16 Answer: ``` Referring to the figure, find the value of x._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.)_x000D_ ``` 17 Answer: ``` Referring to the Fig. in Question #16, find the value of y._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.)_x000D_ ``` 18 Answer: ``` Referring to the figure, find the value of a._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.)_x000D_ ``` 19 Answer: ``` Referring to the Fig. in Question #18, find the value of b._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.)_x000D_ ``` 20 Answer: ``` Referring to the figure, find the value of m._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.)_x000D_ ``` 21 Answer: ``` Referring to the Fig. in Question #20, find the value of n._x000D_ (Hint: Use the Theorems about special right triangles and write_x000D_ the answer in simplest radical form.) _x000D_ ``` 22 Answer: ``` Referring to the figure, find the sine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 23 Answer: ``` Referring to the Fig. in Question #22, find the cosine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 24 Answer: ``` Referring to the Fig. in Question #22, find the tangent of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 25 Answer: ``` Referring to the figure, find the sine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 26 Answer: ``` Referring to the Fig. in Question #25, find the cosine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 27 Answer: ``` Referring to the Fig. in Question #25, find the tangent of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 28 Answer: ``` Referring to the figure, find the sine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 29 Answer: ``` Referring to the Fig. in Question #28, find the cosine of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 30 Answer: ``` Referring to the Fig. in Question #28, find the tangent of angle A._x000D_ Express the value as a decimal rounded to four places._x000D_ ``` 31 Answer: ``` Referring to the figure, use trigonometric ratios to find the _x000D_ value of x. Round decimals to the nearest tenth._x000D_ ``` 32 Answer: ``` Referring to the figure, use trigonometric ratios to find the _x000D_ value of x. Round decimals to the nearest tenth._x000D_ ``` 33 Answer: ``` The distance of the base of a ladder from the wall it leans against_x000D_ should be at least 1/4 of the ladder's total length. Suppose a 10 foot_x000D_ ladder is placed according to these guidelines. Give the minimum _x000D_ distance of the base of the ladder from the wall. _x000D_ ``` 34 Answer: ``` Referring to the ladder in problem 33, how far up the wall will the_x000D_ ladder reach?```
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