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3 years ago

Please help!! will mark brainliest 20pts

Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

Answer:

FH = 34
∠EIH = 62°

Step-by-step explanation:

EI = IG . . . . . . . . . . . .diagonals of a rectangle bisect each other

2x +7 = 6x -13 . . . . . substitute given expressions

20 = 4x . . . . . . . . . . add 13-2x

5 = x . . . . . . . . . .. . . divide by 4

EI = 2x+7 = 2·5 +7 = 17

FH = 2·EI = 2·17

FH = 34

∠IGF = ∠IFG = ∠IEH = ∠IHE = 59° . . . . mirror symmetric angles are congruent

∠EIH = 180° -∠IEH -∠IHE = 180° -2(59°)

∠EIH = 62°

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