Which construction will determine a midpoint?
•congruent segments
•congruent angles
•perpendicular bisector
•angle bisector

The answer is (a) Congruent segments.

Step-by-step explanation:  We are to select the correct construction among the given options that will determine a mid-point.

When we draw two congruent segments in a same straight line and meeting at a point, then the meeting point will be the mid-point of the combined segments.

For example, in the attached figure, AP and PB are two line congruent segments meeting at a point P. Then, P will be the mid-point of AB.

Thus, (a) Congruent segments is the correct option.  

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72