Help asap giving brainliest!!

Answer:
Step-by-step explanation:
These triangles are similar:
So UY × something makes UX
48 × x = 72
x = 72 ÷ 48
x = 1.5
So UV × 1.5 = UW
UW = UV + 18
? = 18 × 1.5
27 = 18 × 1.5
UV = 27
I'm pretty sure it is correct but if not then I apologize.
Could I have brainliest, as many thanks as possible and best rating please. ON ROAD TO GENIUS RANK!
Answer:
UV = 36
Step-by-step explanation:
YX=72-48
YX=24
VW=18
24/18 = 48/UV
Cross multiplication
24UV = 48x18
24 UV = 864
UV = 36
24/18 = 1.3333...... 48 /36 = 1.3333....
Another faster way
48 is double of 24\
36 is double of 18