Question

find the length indicated.

1. there is a line segment with points a, a middle point, and t. the segment from a to the middle point is labeled y, and from the middle point to t is 13. below it, another line segment with points (lets say) and the length is 19.

Explanation:

Step 1: Identify the segment addition postulate

We know that if a point lies on a segment, the sum of the two smaller segments equals the length of the whole segment. Here, let the unknown length be \( x \), the known segment is 13, and the whole segment length is 19. So we can set up the equation \( x + 13=19 \).

Step 2: Solve for \( x \)

Subtract 13 from both sides of the equation: \( x = 19 - 13 \). Calculating the right - hand side, we get \( x = 6 \).

Answer:

The length of the indicated segment is 6.