Answer:
see explanation
Explanation:
the legs and diagonals of an isosceles trapezoid are congruent , then
EH = FG ( substitute values )
4x - 27 = x + 9 ( subtract x from both sides )
3x - 27 = 9 ( add 27 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
and
FH = EG ( substitute values )
11y - 21 = 3y + 19 ( subtract 3y from both sides )
8y - 21 = 19 ( add 21 to both sides )
8y = 40 ( divide both sides by 8 )
y = 5
Then
EH = 4x - 27 = 4(12) - 27 = 48 - 27 = 21
EG = 3y + 19 = 3(5) + 19 = 15 + 19 = 34