What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?

i. 9

ii. 14

iii. 405

iv.

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals =

                                   =

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals =

                                   =

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals =

                                          =

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals =

The number of diagonals in a n-gon is

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

the answer is 375 miles

step-by-step explanation: