Step-by-step explanation:
By sum of angles on a straight line = 180°,
we have Angle A + Angle B = 180°,
Angle C + Angle D = 180°, and
Angle E + Angle F = 180°.
Hence Angles A + B + C + D + E + F = (180°) + (180°) + (180°) = 540°.
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
$3.03 since 21.21 divided by 6 is 3.535 ($3.53) and 21.21 divided by 7 is 3.03
Answer:
There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.