3B. A 2 × 3 rectangle is partitioned into 6 congruent numbered squares as shown. A single 1 × 2 rectangle is placed to cover exactly 2 of the numbered squares. The covered numbers are then added together. How many different sums can result?, please

4

Step-by-step explanation:

If the rectangle covers 2 squares at a time ; sum of each covered square would be :

1 + 2 = 3

2 +3 = 5

3 + 6 = 9

6 + 5 = 11

5 + 4 = 9

4 + 1 = 5

The sums are :

3, 5, 9, 11, 9.5

The different sums are :

3, 5, 9, 11

Hence, the number of different sums is 4

answer: are you

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.