Achoreographer uses a number line to position dancers for a ballet. dancers a and b have coordinates 5 and 23, respectively. find the coordinate for the following dancer based on the given location.

dancer e stands at a point that divides the line segment from dancer a to dancer b in a ratio of 2 to 1.

dancer e is
units from dancer a, so the coordinate for dancer e is
.

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.

Dancer E is 12 units from Dancer A, so the coordinate for Dancer E is 5 + 12 = 17.

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