Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
Explanation: You have to pick 2 number's and multiply them. Then you add it to the b side then you get your m.
If 40 people were surveyed then it is reasonable
Angle sum of a triangle = 180°
Therefore:
Equation No. 1 -
2 ( 2x - 4 ) + 5y = 180°
2 ( 2x - 4 ) + 5 [ ( 2x - 4 ) / 5 ] = 180
4x - 8 + [ 5 ( 2x - 4 ) / 5 ] = 180
4x - 8 + 2x - 4 = 180
4x + 2x = 180 + 8 + 4
6x = 192
x = 192 / 6
x = 32°
Equation No. 2 -
5y = 2x - 4
y = ( 2x - 4 ) / 5
ANSWER:
x = 32°
Answer:
k = -7
Step-by-step explanation:
Solve for k:
-7 k - 44 = k + 12
Subtract k from both sides:
(-7 k - k) - 44 = (k - k) + 12
-7 k - k = -8 k:
-8 k - 44 = (k - k) + 12
k - k = 0:
-8 k - 44 = 12
Add 44 to both sides:
(44 - 44) - 8 k = 44 + 12
44 - 44 = 0:
-8 k = 12 + 44
12 + 44 = 56:
-8 k = 56
Divide both sides of -8 k = 56 by -8:
(-8 k)/(-8) = 56/(-8)
(-8)/(-8) = 1:
k = 56/(-8)
The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):
k = 7/(-1)
Multiply numerator and denominator of 7/(-1) by -1:
Answer: k = -7
