Answer:
y=74
Step-by-step explanation:
-y=-79+5
calculate
-y=-74
change the signs to get y=74
Answer: 19
Step-by-step explanation:
1) You combine like terms with all the angles
Ex. 2x + 15 + 9x - 3 + 77 + 8x + 8 + 13x + x - 4, which equals 33x + 93
2) You set up an equation using the formula for the sum of the interior angles
Ex. 33x + 93 = 180(n - 2)
3) Since a hexagon has 6 sides, n is 6
Ex. 33x + 93 = 180(6 - 2)
4) Solve like a regular equation
Ex. 33x + 93 = 180(6 - 2)
33x + 93 = 720
- 93 = - 93
33x = 627
- Divide 627 by 33
x = 19
Answer:
C
Step-by-step explanation:
Solving the inequality
2(x - 2) - 4x > 4 ← distribute and simplify left side
2x - 4 - 4x > 4
- 2x - 4 > 4 ( add 4 to both sides )
- 2x > 8
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < - 4
The only value from the list less than - 4 is - 5
Thus a solution to the inequality is x = - 5
We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or : 1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5 5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5