The slope of the line is -1/7, so the perpendicular line has a slope of 7
2x + 5 = 3x - 45 [alternate interior angles]
3x - 2x = 5 + 45
x = 50
4y - 1 + 2x + 5 = 180 [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19
Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
The "successful" region has half the size of the whole triangle, so by similar triangles, the probability that the area of triangle XYD is at most 12 is 1/4.
Answer:
n+6m= 5+6(8)
=5+48
= 53
Step-by-step explanation: