Answer:
1) x=16
2) x=15
3) x=10
Explanation:
1) Since the triangles are similar and the ratio of the sides is 1 : 2, 1/2=(3x-4)/(10x-72). Cross multiplying, we get 6x-8=10x-72.
10x-72=6x-8 |+72
10x=6x+64 |-6x
4x=64 |/4
x=16
2) Angles HGJ and KLJ are corresponding (they are equal angles).
So, 5x-2=9x-62.
5x-2=9x-62 |+62
5x+60=9x |-5x
60=4x |/4
x=15
3) If KM is a perpendicular bisector, KJ=KL.
So, 4x+9=11x-61.
4x+9=11x-61 |-4x
9=7x-61 |+61
70=7x |/7
x=10