Problem PageQuestion Find the measure of each interior angle and each exterior angle of a regular hexagon (a six-sided polygon).

Step-by-step explanation:

I find it easiest to start with the exterior angles. Each exterior angle of a regular polygon is 360° divided by the number of sides. That is, the total of all exterior angles is 360°.

For a 6-sided regular polygon (hexagon), exterior angles are ...

  360°/6 = 60° . . . . exterior angle measure

The interior angle measure is the supplement of the exterior angle measure:

  180° -60° = 120° . . . . interior angle measure

The total of interior angles is 180°(n -2), where n is the number of sides of the convex polygon. Then for a regular polygon of n sides, the interior angles are each ...

  (180°)(n -2)/n = 180° -(360°/n) . . . . as above

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3