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Answer:
The length of GH is 2 inches
Step-by-step explanation:
The given parameters are;
Parallelogram ABCD ~ Parallelogram EFGH
Segment BC of parallelogram ABCD corresponds to segment FG of parallelogram EFGH
Similarly
Segment CD of parallelogram ABCD corresponds to segment GH of parallelogram EFGH
In parallelogram ABCD, we have;
Segment BC = 21 in.
Segment CD = 6 in.
In parallelogram ABCD, we have;
Segment FG = 7 in.
Given that parallelogram ABCD is similar to parallelogram EFGH, we have;
Which by substitution, gives;
= 2 inches