Answer:
The answer to your question is below
Step-by-step explanation:
1) Alternate interior angles measure the same
10x - 10° = 100°
10x = 100° + 10°
10x = 110°
x = 110° / 10°
x = 11°
2) Alternate exterior angles measure the same
x + 99° = 90°
x = 90° - 99°
x = -9°
3) Supplementary angles measure 180°
(6x + 12) + (14x + 8) = 180°
6x + 12 + 14x + 8 = 180°
20x + 20 = 180
20x = 180 - 20
20x = 160
x = 160 / 20
x = 8
4) Alternate exterior angles measure the same
26x + 1 = 131°
26x = 131° - 1°
26x = 130°
x = 130° / 26°
x = 5
5) Consecutive interior angles measure 180°
x + 100 + 85° = 180°
x + 185 = 180
x = 180 - 185
x = -5
6) Corresponding angles measure the same
7x - 7 = 70
7x = 70 + 7
7x = 77
x = 77 / 7
x = 11
7) Supplementary angles measure 180°
(12x + 8) + (100°) = 180°
12x + 8 + 100 = 180
12x + 108 = 180
12x = 180 - 108
12x = 72
x = 72 / 12
x = 6
8) Consecutive interior angles measure 180°
18x + 8x - 2 = 180°
26x = 180 + 2
26x = 182
x = 182 / 26
x = 7
9) Corresponding angles measure the same
27x + 7 = 28x + 3
27x - 28x = 3 - 7
-1x = -4
x = -4/-1
x = 4
10) Consecutive interior angles measure 180°
(x + 107) + (x + 87) = 180
x + 107 + x + 87 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -14 / 2
x = -7
It's difficult to make out, but I think the task is to expand
Write the number in polar form first:
By DeMoivre's theorem, you have
and converting back to Cartesian form, this number is equivalent to
Answer:
Given,
mass of snow flake = 2 kg
mass of midnight = 997 gm
Now,
1 kg = 1000 gm
2 kg = 1000 * 2
= 2000 gm
therefore the difference between the masses of the kittens = 2000
- 997
= 1003 gm (is the answer)
Answer:
- 16
Step-by-step explanation:
Evaluate f(2) by substituting x = 2 into f(x) , that is
f(2) = 3(2) - 3 = 6 - 3 = 3
Evaluate g(- 1) by substituting x = - 1 into g(x) , that is
g(- 1) = 8 - (- 1)² = 8 - 1 = 7
Thus
4f(2) - 4g(- 1)
= 4(3) - 4(7)
= 12 - 28
= - 16
