Answer:
the alternate interior angle of angle 5 is angle 4
the measurement of this angle is 70°
angle 3 is 110°
the alternate interior angle of 3 is angle 6
the measurement of this angle is 110°
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
(3, -2)
To find the vertex, put the equation into vertex form by completing the square
2(x^2 - 6x) + 16 [pulling out the 2]
2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]
2(x - 3)^2 - 2 [simplify the equation]
vertex is (3, -2)