The answer is the "y" value of (2, 3),
So the answer is (C), y = 3
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Answer: Trapezoidal prism
A figure with 4 sides and a parallel side is called a trapezoid, this is a 3 dimentional trapezoid which is called a trapezoidal prism.
By minusing 12 to both sides
d+12=2
-12=-12
d =-10