30 ! me on these geometry questions ! show work and explain

1. Corresponding angles are equal.
.. a) ∠H = ∠B
Corresponding sides have the same relationship.
.. b) GH/DJ = AB/DC

2. Segments of the same line are proportional, so
.. FG/(47 m) = (73.8 m)/(82 m)
.. FG = (47 m)*(73.8/82) = 42.3 m
The distance between the two campsites is 42.3 m.

3. Corresponding sides are proportional.
.. (x -3)/8 = 2.5/2
.. x -3 = 8*(2.5/2) = 10
.. x = 13

4. Expand the fractions and subtract 1.
.. (x +3)/3 = (y +2)/2
.. x/3 +3/3 = y/2 +2/2
.. x/3 = y/2

5. Solved elsewhere.
link

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