First, you need to know what a complementary angles are.
They are two angles that add up to 90 degrees.
If the number multiplied by 2 is 90, just to 90/2.
This gives you 45
Answer:
Options (2) and (3)
Step-by-step explanation:
Let, 

-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = 
By substituting the value of a in equation (1),


48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a = 
For b = ±2i,
a =
= 
= 
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = 
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
Answer:
x=-6
Step-by-step explanation:
use distributive property on the () and times x and 1 by three
then you subtract 6 from both sides
then subtract three from both sides
then divide both sides by 3
your work would look like this:
3(x+1)+6=-9
3x+3+6=-9
3x+3=-15
3x=-18
x=-6
Hope this helps!
182 games
24 on each shelf
basicaaly
x shelves is more than or equal to 182 games
1 shelf=24
x times 24>182
divide both sides by 24
x>7 and 4/24
x has to be a whole number since you can't have fractional shelves
you have to have more shelves since less shelves won't allow you to carry all of them
round up
7 and something rounded u is 8
8 shelves (if you are a weird store that has fractional shelves then the answer is 7 and 1/6 shelves)
Answer:
131˙
Step-by-step explanation:
Supplementary angles are angles that add up to 180˙. If you subtract 49 from 180, you get 131.
Brainliest? Maybe?