Answer: the angle is 1°+n×120°
1°, 121°, 241°
Step-by-step explanation:
Angles are taken modulo 360°, so 363° = 3°.
Angle plus supplement gives 180°.
Let a be angle, s be supplement of a.
So s = 180-a. Given a = 3 + 2s
a = 3 + 2(180 - a)
a = 3 + 360 - 2a = 363 - 2a
3a = 363° or 3° or 723°
a = 121° or 1° or 241°
a = 1°
s = 179°
2s = 358°
2s+3 = 361° = 1° (modulo 360)
a = 121°
s = 180-121 = 59°
2s = 118°
2s + 3 = 121°, as required.
a = 241°
s = 360+180-241 = 540-241 = 299
2s = 598
2s + 3 = 601 = 241 (modulo 360)
Answer:
-a^2 + ab
Step-by-step explanation:
(a^2 - 2ab +b^2) + (2a^2 + 2ab + b2) = 3a^2 + 2b^2
(a^2 - b^2) + (a^2 + ab + 3b^2) = 2a^2 + 2b^2 + ab
subtract the first part from the second part:
(2a^2 + 2b^2 + ab) - (3a^2 + 2b^2) = -a^2 + ab
Answer:
18
Step-by-step explanation:
First choose the president. From the 4 people, everyone can be the president except Dan, so there are 3 choices.
Then, choose the treasurer. Neither Bob nor Dan can be the treasurer so there are only 2 choices.
Now choose the secretary. Cyd is the only person who can't take this position, so there are 3 choices.
We are asked by the number of ways of choosing the 3 officers. Using the product rule, this is equal to 3×2×3=18.
Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form
Answer:
y=-x-2*-3
Step-by-step explanation:
