Answer:
m = -1 (answer (a))
Step-by-step explanation:
Recall that the slope of a straight line is m = rise / run.
As we go from the point (0, -2) to the point (2, -4), we see an increase of 2 in x and a decrease of 2 in y.
Thus, the slope of this line is m = rise / run = 2/(-2), or m = -1 (answer (a))
As given by the question
There are given that the point of two-line

Now,
From the condition of a parallel and perpendicular line
If the slopes are equal then the lines are parallel
If the slopes are negative reciprocal then the lines are perpendicular
If the slopes are neither of the above are true then lines are neither
Then,
First, find the slope of both of line
So,
For first-line, from the formula of slope

Now,
For second-line,

The given result of the slope is negative reciprocal because

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.
Answer:
angle AOD = 90⁰
BOD = 3x⁰
90⁰+3x⁰ = 180⁰( being straight angle)
3x = 180⁰-90⁰
3x = 90⁰
x = 90⁰/3
x = 30⁰
now
y⁰+139⁰ = 180⁰(being straight angle)
y⁰ = 180⁰-139⁰
y⁰ = 41⁰
Square root of 46 to the nearest hundredth is 6.78