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

6 questions All work must be shown step by step and make easy to read.I would like to receive at least an A

Note: Online students, please select one of the two subjects to discuss.Use the Internet or Strayer Library (https://research.strayer.edu) to research articles on confidence interval and its application in business. Select one (1) company or organization which utilized confidence interval technique to measure its performance parameters (e.g., mean, variance, mean differences between two processes, etc.). Give your opinion as to whether or not the utilization of such a technique improves business process for the company or organization that you selected. Justify your response.Select one (1) project from your working or educational environment in which you would use the confidence interval technique for the process. Next, speculate on one to two (1-2) challenges of utilizing such a technique in the process and suggest your strategy to mitigate the challenges in question. Please respond to peer posting: In a given distribution confidence intervals is the probability that a parameter will fall between the upper and lower bounds. The intervals are used to know uncertainties in predictions hence a business can measure its performance (Hoerl & Snee, 2012). When manufacturing iPods, Apple has applied the technique to predict the performance of this process. To determine the reliability of iPods and the effectiveness of the production process used, the company utilized confidence intervals. Using 200 employees as sample population, they tested the dependability of the devices and only two of the devices broke down in a span of one month.Their aim was to determine how many of the iPods would break if they were released to the public at the time of the first production. In an unknown population p, 2/200 is equal to the confidence interval of the population and the proportion chosen (about 1% of p) calculated this interval. With a 95% confidence interval, the company was secure to sell the devices. Nolan, Mitchell and Doyle-Baker 2014 note that the high percentage was a clear indication of the relationship of the breakage in the public. It is challenging for a company to determine the success of its products in the market. Therefore, this technique helps to determine the unknown factor which can help organizations make decisions on their products and operations.ReferencesHoerl, R. & Snee, R. D. (2012). Statistical Thinking: Improving Business Performance, 2nd Edition. [Strayer University Bookshelf]. Retrieved from https://strayer.vitalsource.com/#/books/9781118236...Nolan, M., Mitchell, J. R., & Doyle-Baker, P. K. (2014). Validity of the Apple iPhone®/iPod Touch® as an accelerometer-based physical activity monitor: a proof-of-concept study. Journal of physical activity & health, 11(4).