Hue is arranging chairs. She can form 4 rows of a given length with 2 chairs left over, or 8 rows of that length if she gets 14 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Length of Line AC = 26 units

Step-by-step explanation:

Given:

Line AC = [3x + 1] + 8

Line BC = [x - 2] + 2

Find:

Length of Line AC

Computation:

Line AB ║ Line L

So,

Using Mid-Point theorem;

[3x + 1] / 8 = [x - 2] / 2

2[3x + 1] = 8[x - 2]

6x + 2 = 8x - 16

8x - 6x = 16 + 2

2x = 18

x = 9

So,

Line AC = [3x + 1] + 8

Line AC = [3(9) + 1] + 8

Line AC = [27 + 1] + 8

Line AC = 28 + 8

Length of Line AC = 26 units