Danielle says these shapes are rectangles because they are both tall shapes with 4 straight sides and 4 vertices. do you agree? why or why not? what other shapes have 4 straight sides and vertices?

She is may be correct if the shapes also have 4 right angles at each of the 4 vertices (corners).

Here are examples of some other shapes that may be described by what she said:

quadrilateral - any 4 sided figure with 4 vertices
trapezoid - a 4 sided figure (with 4 vertices) with exactly one set of parallel sides
parallelogram - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel
rhombus - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel AND 4 congruent sides
square - a 4 sided figure (with 4 vertices) with 2 sets of opposite sides that are parallel AND 4 congruent sides AND all 4 vertices are 90 degree angles.

Set the ones digit to x.  2x+1=7, so 2x=6, so x=3.

x+1 is the tens digit, so the tens digit is 4 and the number is 43.