The solution is attached. I hope it helps
On a map, haven rd and pine rd are parallel, and Mills rd is transversal. How can the value of x can be determined?
2 answers:
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Answer:
An equation of the line with the given information with
m = 4 and point A(-1, -5) is:
Step-by-step explanation:
As the equation of a line in point-slope form is given by:
where m is the slope.
Given:
- the slope m = 4
- the point A(-1, -5)
Substituting the values in the equation of a line in point-slope form
subtract 5 from both the sides
Therefore, an equation of the line with the given information
with m = 4 and point A(-1, -5) is:
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply:
In this case, the slope of the orange line is and that of the blue line is
Then , it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
