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Given that yx is a diameter of V, find mZVX if mYVZ=(15r -1)", mWVX =(8x- 2).mUVW =(7x +15).and mYVU = 3x + 5).A 32B 45C 70D. 134 Express the following repeating decimal as a fraction in simplest form. D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x 3, AE = x + 3 and EC = x , the value of x is: What is the median of the following set of numbers?1 512 1 121112113O A. 27.COINOC. .12OD. The history of chocolate began (11) _______- three and a half thousand years ago . At that time, people in the Amercas (12) ____ as the Mayans and the Aztecs grew the beans and made chocolate drinks (13) _____them. Around 1500, christoppher columbus Which is correct????????????? 5 x 1/7 The question Project Management Practice ProblemBraggs Bakery is building a new automated bakery downtown Sandusky. Here are the activities that need to be completed to get the new bakery built and the equipment installed. ACTIVITYPREDECESSORNORMAL TIME (WEEK)CRASH TIME (WEEK)EXPEDITING COST/WEEKA-963000BA853500CA15104000DB,C532000EC1062500FD,E215000Hint: I have directly provided the crashing cost per unit time.a. What is the normal project length?b. What is the critical path in this project?c. Which activity will you choose to crash first to reduce the duration of the project by one week?d. What is the project length if all activities are crashed to their minimum?e. What is the slack for activity D? 9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3 Why is the history of Psychology important??? Which of the following is an example of the geographic concept of space?O West Africa is a geographic region on the continent of Africa.In New York City, subway stops are placed five blocks apartChloe lives in a suburb west of Houston, Texas.Each province or territory of Canada has a capital city.The country of Kazakhstan is south of Russia. What is the image point of (4, 6) after thetransformation T5,2 O ry=-x? Evaluate your ability to consume wisely, Explain why this skill is essential to achieving your life spanplan national anthem of india, chinaand brazil When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term? On the image below, which is the correct answer? A boy pushes his little brother on a sled. The sled accelerates from rest to (4 m/s). If the combined mass of his brother and the sled is (40.0 kg) and (20 W) of power is developd, how long time does boy push the sled?16s300s15s23s Which energy store is increased when an object is heated? the only reason i know cardiants is because of mincraft please I need this question fast please