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find uv in parallelogram tuvw. uv = \\boxed{}

Question

find uv in parallelogram tuvw.
uv = \boxed{}

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $UV = TW$. Substitute the given expressions:
$y-1 = 2y-28$

Step2: Solve for $y$

Rearrange to isolate $y$:
$28 - 1 = 2y - y$
$y = 27$

Step3: Calculate length of $UV$

Substitute $y=27$ into $UV = y-1$:
$UV = 27 - 1$

Answer:

26