The answer is AAS
As the angles are equal and there is a non included side
A and b are the minutes spent on machine A and machine B, respectively.
a+b = 40
b = 40-a
8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10
30 minutes on machine A and 10 minutes on machine B
Answer:
x = -7
Step-by-step explanation:
Use the distibutive property on both side:
Right side:
4 ( 1 - x )
( 4 x 1 ) + 4 x -X )
4 - 4x
Left side:
-3 ( x + 1 )
( -3 x X ) + ( -3 x 1 )
-3x -3
4 - 4x + 2x = -3x - 3
Combine like terms:
( 2x + ( -4x ) ) + 4 = -3x - 3
-2x + 4 = -3x - 3
Add 3 to each side:
-2x + 7 = -3x
add 2x to each side:
7 = -x
Divide each side by -1:
-7 = x
