So Angle 5 = 1x - 7 and angle 2 = -2x + 18. You can work out that angle 1 is the same as angle 5 because corresponding angles are equal. Then you know that angle 1 + angle 2 = 180 because angles on a straight line add to 180. So therefore 1x - 7 -2x + 18 = 180 so -1x + 11 = 180 so -x = 169 so x = -169. Hope this helps :)
<h2>
Greetings!</h2>
Answer:
{x | x > -4}
Step-by-step explanation:
The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.
Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:
x > -4
So the solutuon set would be:
<h3>{x | x > -4}</h3>
<h2>Hope this helps!</h2>
Answer:
I think this is the correct answer
Solve for m:
8 = m/4
8 = m/4 is equivalent to m/4 = 8:
m/4 = 8
Multiply both sides of m/4 = 8 by 4:
(4 m)/4 = 4×8
(4 m)/4 = 4/4×m = m:
m = 4×8
4×8 = 32:
Answer: m = 32 thus m - 12 = 32 -12 = 20
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
