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Please find the value of x in the figure

Please find the value of x in the figure-example-1
User Fxtentacle
by
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1 Answer

7 votes

Answer:

Explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC {Midpoint theorem}


x +1 = (1)/(2)(4x - 6)\\\\\\ Multiply \ the \ whole \ equation \ by 2\\\\ 2*(x+1) =2*(1)/(2)*(4x - 6)

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

2x = 8

Divide both sides by 2

x = 8/2

x = 4

User Gandjustas
by
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