Question

Please find the value of x in the figure

Answer 1

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