Help please!
The polygons are similar, but not necessarily drawn to scale. Find the value of x

Question

Help please!
The polygons are similar, but not necessarily drawn to scale. Find the value of x

anonymous · Answer

attachment

anonymous · Answer

Similar means that the ratio of the lengths of the sides are the same on each of the polygons. So the ratio of 6 to 3 is half and thus the ratio of 59 to x is half so x=29.5

anonymous · Answer

thank you ! can you help me with one more?

anonymous · Answer

certainly

anonymous · Answer

Which theorem or postulate proves the two triangles are similar?

anonymous · Answer

attachment

anonymous · Answer

A.  SAS Theorem
B. SA Postulate
C. SSS Theorem
D. AA Postulate

anonymous · Answer

My gut instinct is to say SSS because only that one would fit from the oens you have listed in my view. SSS would work because you can take the 21+3.5 and make it one side and then use the 5 and the 30 for the other two sides to fill the theorem for SSS