For the first picture..........
|AB| |BD|
-----=-----
|AC| |DC|
x+8 10
-----=----
2x-5 14
10(2x-5)=14(x+8)
20x-50 = 14x+112
20x-14x = 112+50
6x = 162
x= 162/6
x=27.....
For the second picture.......
AD| |AC|
-----=-----
|DB| |CB|
3 4
--=---
x 7.5
4×X = 3×7.5
x = 22.5/4
x = 5.625....
The coordinate of point B is at (29, -15): Option C is correct.
The formula for calculating the midpoint of two points is expressed as:

Given the coordinate points
A is (5, 7).
B is (x, y).
M is (17, -4)
Substituting into the formula to get x and y
17 = 5+x/2
5+x = 34
x = 34 - 5
x = 29
Get the value of y. Similarly;
-4 = 7+y/2
-8 = 7+y
y = -8-7
y = -15
Hence the coordinate of point B is at (29, -15)
Learn more here: brainly.com/question/13989426
Answer:n
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Step-by-step explanation:
The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.