4 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Marina CMI [18]4 years ago

7 0

Answer:

x = ⅛

Step-by-step explanation:

Examining the figure given, ED is an angle bisector.

Therefore, according to the angle bisector theory, EH/EG = HD/GD

EH = 56mm

EG = 44.8mm

HD = 35mm

GD = (x+4) mm

56/44.8 = 35/(x+4)

Cross multiply

56*(x+4) = 35*44.8

56x + 224 = 1,568

Subtract 224 from both sides

56x = 1,568/224

56x = 7

Divide both sides by 56

x = 7/56

x = ⅛

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