If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15
Answer:
30° and 108°
Step-by-step explanation:
To convert from radian to degree measure
degree = radian measure × 
(1)
× = 
= 30°
(2)
× = 
= 108°
Answer:
-8
Step-by-step explanation:
8ʸ = 16ʸ⁺²
(2³)ʸ = (2⁴)ʸ⁺²
2³ʸ = 2⁴ʸ⁺⁸
3y = 4y + 8
y = -8
Answer - 2,500,000 people
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills
