Given:
End points a line segment are (9,-8) and (-1,-4).
To find:
The equation of perpendicular bisector of given line.
Solution:
Slope of given line is





Product of slopes of two perpendicular line is -1.



So, slope of perpendicular bisector is
.
Perpendicular bisector passes through the midpoint of given endpoints.




So, perpendicular bisector passes through (4,-6) and having slope
. The equation of perpendicular bisector is

where, m is slope.





Therefore, the equation of perpendicular bisector is
.
1.09, 1.1, 1.9
Hope I helped
Answer:
2,672.45475 (round if needed)
Step-by-step explanation:
44 percent to a decimal is 0.44
2.5 percent to a decimal is 0.025
6,439.65 × 0.44 = 2833.446 (within 15 days)
6,439.65 × 0.025 = 160.99125 (within 30 days)
2833.446 - 160.99125 = 2,672.45475
The value of x from the given diagram is 17
<h2>Vertically opposite angles</h2>
From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X
Given that;
- m<2 = 4x + 2
- m<3 = 5x - 15
Equate both expressions to have:
m<2 = m<3
4x + 2 = 5x - 15
4x - 5x = -15 - 2
-x = -17
x = 17
Hence the value of x from the given diagram is 17.
Learn more on vertical angles here; brainly.com/question/1673457