Line AB with point C between A and B, with a circle drawn from center C with a radius CB and diameter DB, where D is between A and C; point E between C and B, with a circle drawn with center D and radius DE; another circle is drawn with center B and radius DE to create an equal sized circle as circle D; circles B and D intersect at H above line AB and G below line AB, and line HG is constructed through C.
a Inscribed regular hexagon
b Inscribed equilateral triangle
c Perpendicular line through a point off a line
d Perpendicular line through a point on a line

  d.  Perpendicular line through a point on a line

Step-by-step explanation:

We presume you're looking for a description of line HG.

The construction makes points H and G equidistant from points D and B, and it puts point C on the line HG. This makes HG perpendicular to AB, and it makes HG contain point C. Thus we have a perpendicular through a point on a line.

__

Nothing about this construction creates an equilateral triangle or hexagon. The perpendicular is through points H and G, which are off the line AB, but we did not start with those. A perpendicular through an off-line point is constructed differently.

attachment?

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!