50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...​


50 POINTS Please Help Thank You So Much Image Attached The Polygons Are Similar Find The Values Of The Variables I Know From The Answer Key That The Answers Are class=

Answer :

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5