Answer:
x = 5
Explanation:
Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.
Similar polygons
Corresponding side lengths of similar polygons are proportional. This means ...
WT/UV = RS/PQ
(x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values
Multiplying by 10/3 gives ...
x +1 = (10/3)(9/5) = 6
x = 5 . . . . . . . . . subtract 1