A triangular prism has base that is a right triangle with legs of length (x-1) and (x+2).  The prism has a height of 4.  If the prism has a volume of 42, find x to the nearest tenth.

State a relationship that exists between the 4 segments Explain why this relationship works using similar triangles.

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Find the area of the circle segment formed by an arc of 120 degrees on a circle of radius 12 (the shaded area in the diagram below) Please express your answer as a decimal to the nearest 10th.

Given points A= (4, 6) and  B= (2, -5) Find the exact point that is 4/5 of the way from A to B.

Prove that angle 1 must be congruent to angle 3.  Also, name this Theorem.

The state charges 20 cents per gallon on _______________. The more you drive, the more _____________ you pay.

The Final Exam will be available from Saturday, May 24th at 12:01am to Thursday, May 29th at 11:59pm. You can complete the exam at any point during this window. Failure to complete the exam will result in an automatic zero with absolutely no makeups; regardless of your excuse. Each student will be responding to 50 questions that can be one of the following: multiple choice, true/false, or matching. Each student will be given sixty minutes to complete the exam and they must complete it in one session (once you start the exam, the timer will begin and will automatically submit once time expires). The exam is not open note. Students are required use HonorLock for this exam.

The Unit One Exam will be available from Monday, May 12th at 12:01am to Saturday, May 17th at 11:59pm. You can complete the exam at any point during this window. Failure to complete the exam will result in an automatic zero with absolutely no makeups; regardless of your excuse. Each student will be responding to 50 questions that can be one of the following: multiple choice, true/false, or matching. Each student will be given sixty minutes to complete the exam and they must complete it in one session (once you start the exam, the timer will begin and will automatically submit once time expires). The exam is not open. Students are required to use HonorLock for this exam.

PT, a 65-year-old male, comes to the emergency room complaining of chest pain. Several diagnostic tests conclude that he has suffered an MI. The registered dietitian is consulted for nutrition education. PT reports that he has gained 30 pounds in the previous year due to his hectic work schedule, which forces him to eat out often. In addition, he is physically inactive. PT also reports that he has a family history of heart disease and his father died of an MI.Height: 5’9″Weight: 190 lbsWaist circumference: 105 cmBP: 140/93Labs Cholesterol: 259 mg/dL LDL: 180 mg/dL HDL: 58 mg/dL TG: 234 mg/dLDiet routine: Breakfast: Egg and sausage muffin, Coffee  Lunch: Ham and cheese sandwich on white bread, potato chips, soda   Dinner: Chicken breast, mashed potatoes, iced tea, cheesecakeA registered dietitian may recommend which of the following additions to PT’s diet to help decrease the absorption of cholesterol?