Line Segment Lengths

Find AC

In a figure, line segment $$AB$$ is 5 cm, and line segment $$BC$$ is 7 cm. If $$AC$$ is a straight line, what is the length of $$AC$$ ?

Line segment $$DE$$ is parallel to line segment $$FG$$ . If $$DE$$ is 8 cm and $$FG$$ is 3 times the length of $$DE$$ , what is the length of $$FG$$ ?

In a triangle, line segment $$XY$$ is 9 cm, and line segment $$YZ$$ is 12 cm. If $$XZ$$ is a straight line, what is the length of $$XZ$$ ?

Find the length of the segment.

Leave your answer as a simplified square root.

Line segment $$JK$$ is 4 cm, and line segment $$KL$$ is 6 cm. If $$JL$$ is a straight line, what is the length of $$JL$$ ?

If line segment $$MN$$ is 11 cm and line segment $$NO$$ is 14 cm, what is the length of line segment $$MO$$ if $$M$$ , $$N$$ , and $$O$$ are collinear?

Line segment $$PQ$$ is 7 cm, and line segment $$QR$$ is 5 cm. If $$P$$ , $$Q$$ , and $$R$$ are collinear, what is the length of $$PR$$ ?

In a figure, line segment $$ST$$ is 10 cm, and line segment $$TU$$ is 15 cm. If $$S$$ , $$T$$ , and $$U$$ are collinear, what is the length of $$SU$$ ?

Line segment $$VW$$ is 13 cm, and line segment $$WX$$ is 9 cm. If $$V$$ , $$W$$ , and $$X$$ are collinear, what is the length of $$VX$$ ?