3. If EG is equal to 71, we can write the following equation
EF + FG = 71
Where EF = 8x - 17 and FG = 5x - 3
Replacing, we get:
EF + FG = 71
(8x - 17) + (5x - 3) = 71
8x - 17 + 5x - 3 = 71
Solving for x, we get:
8x - 17 + 5x - 3 = 71
13x - 20 = 71
13x - 20 + 20 = 71 + 20
13x = 91
Dividing in both sides by 13, we get:
[tex]\begin{gathered} \frac{13x}{13}=\frac{91}{13} \\ x=7 \end{gathered}[/tex]
Answer: x = 7
