Answer:
0.32 and 8/25.
Step-by-step explanation:
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3x+8=5x-1
3x-5x=-1-8
-2x=-9
x=4,5
AM=3x4,5+8=21,5
MB=5x4,5-1=21,5
AB=AM+MB
AB=21,5+21,5=43
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.