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.

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.