According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.
Answer:
straight line through (0,4) and (2,0), shade everything above it
Step-by-step explanation:
First solve the equality, which will give you a straight line.
Then check if the inequality (the > sign) means you have to shade the area above or below it.
2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.
Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.
Plot these two points and draw a line through them.
Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.
$9 divided by 5 = 1.8
A pound of avocados is $1.80
6(4.5y - 12) = 9
(4.5y - 12) = 9/6
4.5y - 12 = 1.5
4.5y = 1.5 + 12
4.5y = 13.5
y = 13.5/4.5
y = 3