Answer:
1) x = 20
2) Try it yourself based on #1
3) D. BE (it a a segment, it is on the hypotenuse, and it is adjacent to AB)
Step-by-step explanation:
I'll do the first one and you can try the second one
1) Since the two triangles are similar, corresponding parts are similar (CPSP - corresponding parts of similar polygons)
2) Since the corresponding sides are similar, [tex]\frac{AX}{AB} = \frac{XY}{BC}[/tex]
3) We know that AX is 12, AB is 20 (AX+XB=12+8 because of pwp -> part whole postulate), XY is 17, and BC is x
4) Substitute these values into the equation from step 2
[tex]\frac{12}{20} = \frac{12}{x}[/tex]
5) Cross-multiply to get 12x = 12(20)
6) Solve
12x = 240
x = 20
