Respuesta :

Answer:

24mm

Step-by-step explanation:

since it's a similar triangle, we solve;

EH/EG=DH/DG

EH=56mm;

EG=44.8mm;

DH=35mm;

DG=X+4.

Fix them,

56/44.8=35/x+4

cross multiply

56(x+4)=35×44.8

56x+224=1,568

collect the like term

56x=1,344

divide via by 56

56x/56=1344/56

x=24mm

Check/ verify

EH/EG=DH/DG

56/44.8=35/24+4

56/44.8=35/28

CROSS MULTIPLY OVER THE EQUAL SIGN.

56×28=35×44.8

1,568=1,568

THAT'S CORRECT.

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