In the diagram, CE=12 units and BE=5 units.

Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D and E. Line segments A B and B C are the same length.

Based on the given information, what is AE?

2 units
7 units
12 units
17 units

12 Units

Step-by-step explanation:

Step 1 :

Two triangles are said to be congruent if two sides of the triangles and the included angles are equal.

Step 2 :

Given  CE = 12 Units and BE = 5 units.

Line l is a perpendicular bisector of the line segment AC . So we have AB =  BC. (Given that line segments AB and BC are equal.

In triangle ABE, ∠ B is 90° [ Given that line l is perpendicular bisector of AC and B is the point of intersection]

In triangle CBE, ∠ B is 90° [ Given that line l is perpendicular bisector of AC and B is the point of intersection]

Step 3:

Triangles ABE and CBE are congruent.  [ As we have side AB = BC, side BE is common to both triangles and the included angle ABE and CBE of both the triangles are equal]

So as per the SAS [side angle Side] property of congruency of triangles, the triangles are equal.

This implies the 3rd side , AE is equal to CE.

Hence AE = CE = 12 units.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.