Tate scored 5 points higher on his midterm and 13 points higher on his final than he did his first exam. If his mean score was 9
0 what was his score on the final exam?
1 answer:
Answer:
Juan scored 84 points on his first exam.
Step-by-step explanation:
---- ASSUMPTIONS: First Exam = X Midterm Exam = X + 5 Final Exam = X + 13 Mean Average Score for the 3 exams above = 90 ---- SOLUTION: 90 = [X + (X + 5) + (X + 13)] / 3 90 * 3 = [X + (X + 5) + (X + 13)] 270 = 3X + 18 270 - 18 = 3X 252 = 3X 252 / 3 = X 84 = X Conclusion: Juan scored 84 points on his first exam. (See below for proof) ---- PROOF: First Exam = X = 84 Midterm Exam = X + 5 = 89 Final Exam = X + 13 = 97 Mean Average of 90 points --> [84 + 89 + 97] / 3 = 270 / 3 = 90
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All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.
Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10
50+x+x+2x-10=180
4x+40=180
4x=140
x=35
Angle 1 = 50+35= 85
Angle 2 = 35
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60+35+85=180
