The value of x is 3.
AB = 10
BD = 14
CE = 17
How to find the length of a line segment ?
A line segment is a piece or part of a line having two endpoints.
In other words, a line segment is bounded by two distinct points on a line.
Therefore,
AC = 16
Hence,
x + 7 + 2x = 16
3x + 7 = 16
3x = 16 - 7
3x = 9
x = 9 / 3
x = 3
AB = x + 7 = 3 + 7 = 10
BD = 2x + 3x - 1 = 2(3) + 3(3) - 1 = 6 + 9 - 1 = 15 - 1 = 14
CE = 3x - 1 + 2x + 3 = 3(3) - 1 + 2(3) + 3 = 9 - 1 + 6 + 3 = 8 + 9 = 17
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