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klemol [59]
2 years ago
10

Please find the value of x in the figure

Mathematics
1 answer:
notka56 [123]2 years ago
8 0

Answer:

Step-by-step explanation:

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

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

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

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