Just after the awe$-$inspiring Total Solar Eclipse that darkened the skies over Fort Wayne, Indiana, on April $8$th$,2024,$ something extraordinary happened. Captain Poyraz and his crew $$ Alexia, Ally$1,$ Ally$2,$ Andrew, Brittany, Caleb, Celia,Cristian, Dakota, Dustin, Emma$1,$ Emma$2,$ Jessica, Joel, John, Kelsen, Kelsey, Ker, Landon, Marin, Mashayla, Molly, Owen, Quinten, Rex, Seth, Tara, Taylor$1,$ Taylor$2,$Taylor$3,$ Tommy, Vy$,$ Will$1,$ Will$2,$ and Zaynab $$ still marveling at the celestial spectacle, was suddenly enveloped in a blinding flash of light. When their vision

cleared, they found themselves aboard the Voyager, hurtling through the

uncharted depths of the Delta Quadrant. The only sign of what had transpired was a cryptic message from an unknown alien entity, suggesting a link between the eclipse and their unexpected journey. Despite the shock and growing sense of unease$$compounded by strange UFO sightings flickering in the distance$$their

mission remained clear: explore the stars, unravel the mystery of their sudden displacement, and find a way back home.

Route X

$1.$ Start from Voyager

$2.$ From Voyager travel to Planet $20$

$3.$ From Planet $20$ travel to Planet $2$

$4.$ From Planet $2$ travel to Planet $13$

$5.$ From Planet $13$ travel to Planet $11$

$6.$ From Planet $11$ travel to Planet $3$

$7.$ From Planet $3$ travel to Earth $($Home$,$ Sweet Home!$)$

Network Diagram $2$ shows the possible routes through the Delta Quadrant, where the nodes are different worlds, planetary system and space anomalies, and the values on the branches are the actual distances, in light$-$years, between nodes.

Network Diagram $2$

$$ Assume that all branches are undirected, with travel distance indicated for each branch. For example, distance from Voyager to Planet $2$ is $16\mathrm{.}32$ light years; and distance from Planet $2$ to Voyager is $16\mathrm{.}32$ light years.

What is the length of Route X$?$

Using Network Diagram $2,$ the length of Route X is $\_\_\_\_\_\_\_\_\_$ light$-$years.

Network Diagram $2$ shows the possible routes through the Delta Quadrant, where the nodes are different worlds, planetary system and space anomalies, and the values on the branches are the actual distances, in light$-$years, between nodes.

$3$

branch. For example, distance from Voyager to Planet $2$ is $16\mathrm{.}32$ light years; and distance from Planet $2$ to Voyager is $16\mathrm{.}32$ light years.

If you are having trouble seeing the network or reading the numbers clearly, do not worry. An image version of the network diagram is available on Brightspace. Please refer to the Exam IV Module, Images submodule. This is Network Diagram $2.$

What is the length of Route X $?$

Using Network Diagram $2,$ the length of Route X is

light$-$years.

Round your answer to one decimal place. For example, if you have the number $7\mathrm{.}86,$ rounding to one decimal place would give $7\mathrm{.}9.$ Alternatively, if you have the number $4\mathrm{.}32,$ rounding to one decimal place would give $4\mathrm{.}3.$