Hi!
The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Answer:
When one shape can become another using only Turns, Flips and/or Slides, then the two shapes are Congruent. Two shapes are Similar when we need to Resize for one shape to become another (we may also Turn, Flip and/or Slide). So, when one shape can become another using transformation, the two shapes might be Congruent or just Similar?
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
-5 x 6 = -30
-5 + (6) = 1
x2 + 1x - 30 = 0
(X - 5 ) (X + 6)
To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:
x2 + 1x - 30 = (X - 5 ) (X + 6)
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Answer:
2079 divided by 27 is the answer to the question
