z = -11
Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11
Hope this helps you! (:
-Hamilton1757
Web sites cannot handle large amounts of requests, leading to a very slowed response.
There is a positive, linear relationship between the correct and guessed calories. The guessed calories for 5 oz. of spaghetti with tomato sauce and the cream-filled snack cake are unusually high and do not appear to fit the overall pattern displayed for the other foods. The correlation is r = 0.825 . This agrees with the positive association observed in the plot; it is not closer to 1 because of the unusual guessed calories for spaghetti and cake. The fact that the guesses are all higher than the true calorie count does not influence the correlation. The correlation r would not change if every guess were 100 calories higher. The correlation r does not change if a constant is added to all values of a variable because the standardized values would be unchanged. The correlation without these two foods is r = 0.984 . The correlation is closer to 1 because the relationship is much stronger without these two foods.
Step-by-step explanation:
w = 34° (alternate interior angles)
x = 34° (vertically opposite angles)
y = 101°
z = 79° (corresponding angles)
