The triangle will be rotated with the rule of (x,y) → (-y,x). The image will be congruent to the pre-image, the side lengths will be the same and the angles too.
Let x = ounces of $35 perfume
Let y = ounces of $15 perfume.
We want a 3-ounce perfume, therefore
x + y = 3
or
y = 3 - x (1)
We want the 3-ounce perfume to cost $63. Therefore
35x + 15y = 63 (2)
Substitute (1) in (2).
35x + 15(3 - x) = 63
35x + 45 - 15x = 63
20x = 63 - 45 = 18
x = 18/20 = 0.9
From (1), obtain
y = 3 - 0.9 = 2.1
Answer:
0.9 ounces of $35 perfume and 2.1 ounces of $15 perfume.
Conversion Formula: Radian/π = Degree°/180°
R= 7π/4, Degree =?
Apply the formula:
So [(7π/4) / π = Degree / 180] (note that 7π/4) / π = 7/4)
Degree = (7/4) x 180° = 315°
Answer:
after cancel - to - be get 6 simply
Answer:
a. 156°
Step-by-step explanation:
The marked angle at P is the average of the arcs intercepted:
((13x)° + (5x+10)°)/2 = (10x -7)°
(18x +10)/2 = 10x -7 . . . . simplify a bit
9x +5 = 10x -7 . . . . . . . . simplify more
9x +12 = 10x . . . . . . . . . . add 7
12 = x . . . . . . . . . . . . . . . . subtract 9x
Now, use this value to find (13x)°.
13x° = 13(12)° = 156° . . . measure of arc DC