9514 1404 393
Answer:
UW = 24
Step-by-step explanation:
Midsegment XY is half the length of base UW, so we can write ...
UW = 2·XY
73 -7x = 2(54 -6x) . . . . substitute the given expressions
73 -7x = 108 -12x . . . . . eliminate parentheses
5x = 35 . . . . . . . . . . . . . add 12x-73
x = 7 . . . . . . . . . . . . . . . divide by 5
Now, we can find UW:
UW = 73 -7x = 73 -7·7
UW = 24
