Question

instructions: use the image below to solve and answer the questions to the right. segment addition. the length of $overline{df}$ is equal to $x - 1$. given the diagram below, determine its actual length. fill in the blank 2 points. once you have solved for $x$. plug $x$ into $df$ to find its length. $df$ is equal to: type your answer...

Explanation:

Step1: Apply segment addition

$DF = DE + EF$

Step2: Substitute given values

$x - 1 = (x - 2) + (2x - 9)$

Step3: Simplify right side

$x - 1 = 3x - 11$

Step4: Solve for x

$2x = 10 \implies x = 5$

Step5: Find DF length

$DF = x - 1 = 5 - 1 = 4$

Answer:

4