Question

12. The lengths of two line segments are shown. If the two line segments
have the same measure, find x and the length of the line segment.
x = _______
Length of line segment: _____________

Answer 1

2 + 6(x + 5) = 2 (5x - 2)
2 + 6x + 30 = 10x - 4
6x + 32 = 10x - 4
10x - 6x = 32 + 4
4x = 36
x = 36/4 = 9

Length of line segment = 2 + 6(9 + 5) = 2 + 6(14) = 2 + 84 = 86