Use the triangle midsegment theorem to solve for x.

what is ax?

2 units
4 units
6 units
8 units

The triangle midsegment theorem states that if the midpoints of two sides of any triangle are joined by a line, then that line is parallel to the third side and its length is half of that third side.

With that statement, we can define that:

side AB = 0.5 (side XY)

x + 1 = 0.5 (5 x – 7)

x + 1 = 2.5 x – 3.5

1.5 x = 4.5

x = 3

Therefore, the length of side AX can now be calculated given x:

AX = 2 x – 2

AX = 2 * 3 – 2

AX = 4

AX = 4 units

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.