The angle of rotation is the minimum angle in which you rotate a regular polygon such that the figure appears unchanged. The formula for that is dividing one angle of revolution by its number of sides.
Angle of Rotation = 360°/n
Angle of Rotation = 360°/72 = 5°
Solve like an equation,
You need x by itself.
Since x is on the denominator, multiply both sides by x to clear the fraction.
Tan 12 = 10/x
x Tan12 = 10
Divide both sides by Tan12
x = 10/(Tan12)
x = 47
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
Answers are underlined in pink. Hope you can understand my writing! If anything is unclear, just ask!
Answer:
leftmost empty cell: ⅓
rightmost empty cell: 3
Step-by-step explanation:
✔️If 2 pounds grapes cost $6, then x pounds of grapes cost $1.
Thus;
2 : 6 = x : 1
2/6 = x/1
Multiply both sides by
²/6 × 1 = x/1 × 1
²/6 = x
¹/3 = x
x = ⅓
✔️If 2 pounds grapes cost $6, then 1 pound of grapes cost $x.
Thus;
2 : 6 = 1 : x
²/6 = ¹/x
Cross multiply
2x = 6
Divide both sides by 2
2x/2 = ⁶/2
x = 3
