Question

How do i solve this​

Answer 1

Step-by-step explanation:

You're given that ΔUVW is similar to ΔYZW.  The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.

The triangles share point W, so visually rotate one triangle around W until the two triangles align.  That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.

Now you can find the scale:

VW / YW = 5/12

And you can write a proportion to find x:

UW / ZW = VW / YW

x / 64 = 5 / 12

x = 26 ⅔