Answer:
Dancer E is 12 units from Dancer A, so the coordinate for Dancer E is 17.
Step-by-step explanation:
Distance from Dancer A to Dancer B.
AB = 23 - 5 = 18 units
Distance from Dancer A to Dancer E.
[tex]\begin{array}{lrcll}(1) & \dfrac{AE}{EB} & = & \dfrac{2}{1} & \\\\(2) & AE + EB & = & 18 \\(3) & AE & = & 2EB & \text{Multiplied each side of (1) by EB} \\(4) & 2EB + EB & = &18 & \text{Substituted (3) into 2} \\\end{array}[/tex]
[tex]\begin{array}{lrcll}& 3EB & = & 18 & \text{Simplified} \\&EB & = & \dfrac{18}{3} & \text{Divided each side by 3} \\\\(5)&EB& = & \mathbf{6} &\text{Simplified}\\\end{array}[/tex]
[tex]\begin{array}{lrcll}& AE + 6 & = & 18 & \text{Substituted (5) into (2)} \\& AE& = & 18 - 6 & \text{Subtracted 6 from each side} \\& AE& = & \mathbf{12} & \text{Simplified} \\\end{array}[/tex]
[tex]\textbf{AE = 12}[/tex]
Dancer E is 12 units from Dancer A, so the coordinate for Dancer E is 5 + 12 = 17.
