The value of x is;
1. 4.5
2. 4
3. 3
4. Value of JM is 9
The Midpoint Theorem states that in a triangle, the segment connecting the midpoints of two sides is parallel to and half the length of the third side.
It's a consequence of the midpoint formula in coordinate geometry.
1. Therefore;
2 × 5x = 45
10x = 45
x = 45/10
x = 4.5
2. 2× 8 = 5x - 4
16 = 5x - 4
20 = 5x
x = 20/5 = 4
7. 9x - 18 = 3x
6x = 18
x = 18/6 = 3
8. JM = 9(3) - 18
JM = 27 - 18
JM = 9 units