.53571429 exactly but if you want to round the answer is different
Answer:
E
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Consider the triangle on the left
3rd angle = 180° - 60° - 90° = 180° - 150° = 30°
the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so
∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°
Answer:
3x⁴ − 17x³ + 19x² − 19x + 6
Step-by-step explanation:
(x² − 5x + 2) (3x² − 2x + 3)
Distribute:
3x² (x² − 5x + 2) − 2x (x² − 5x + 2) + 3 (x² − 5x + 2)
Distribute again:
3x⁴ − 15x³ + 6x² − 2x³ + 10x² − 4x + 3x² − 15x + 6
Combine like terms:
3x⁴ − 17x³ + 19x² − 19x + 6
Answer:
Mason wins after 18 total moves
Step-by-step explanation:
Mason's optimal strategy is to keep the total number of marbles at 11n+1, so he will take 10 marbles to start. For each move Jason makes, Mason will take a number of marbles that makes the sum from the two turns be 11.
After each of Mason's 9 turns, the number of remaining marbles will be ...
89, 78, 67, 56, 45, 34, 23, 12, 1
It doesn't matter how many marbles Jason takes. He will lose on his 9th turn.