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In the trapezoid below, x = [ ? ].
2x+6
I
5x=20
4r+2

In the trapezoid below, x = [ ? ]. 2x+6 I 5x=20 4r+2-example-1
User Oneklc
by
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1 Answer

13 votes

Answer:

x = 12

Explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

User Chandan Purohit
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7.7k points