Part 2) What's the perimeter of a regular heptagon if one side measures 3 inches?
we know that
The number of sides in a regular heptagon is equal to [tex] 7 [/tex]
so
The perimeter is equal to
[tex] P=7*a [/tex]
where
a is the length side
in this problem
[tex] a=3\ in [/tex]
substitute
[tex] P=7*3 =21\ in[/tex]
therefore
the answer Part 2) is the option
B. 21 in.
Part 3) A polygon that has all sides the same measure and all angles the same measure is called what?
we know that
When all angles are equal and all sides are equal, is a polygon that is equiangular and equilateral, so, is called a regular polygon
therefore
the answer part 3) is the option
C. Regular polygon
Part 4) The gazebo in the park is an octagon. Each side of the gazebo is 4 feet long. What is the perimeter of the gazebo?
we know that
The number of sides in a octagon is equal to [tex] 8 [/tex]
so
The perimeter is equal to
[tex] P=8*a [/tex]
where
a is the length side
in this problem
[tex] a=4\ ft [/tex]
substitute
[tex] P=8*4 =32\ ft[/tex]
therefore
the answer Part 4) is the option
D. 32 feet
Part 5) Which of the following best describes a plane?
we know that
--The edge of a desk is a piece of a straight or curved line.
-- A curve in a road is a piece of a curved line.
-- The intersection of two walls is a piece of a straight line
therefore
the answer Part 5) is the option
A. The surface of a flat table
Part 6) Two angles are supplementary. The first angle measures 40°. What's the measurement of the second angle?
we know that
Two angles are supplementary if the sum of their angles is equal to [tex] 180 [/tex] degrees
so
Let
x------> the measure of the second angle
[tex] 40+x=180\\ x=180-40\\ x=140\ degrees [/tex]
therefore
the answer Part 6) is the option
C. 140°
Part 7) In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?
we know that
The circumference is equal to
[tex] C= \pi D [/tex]
where
D is the diameter
solve for D
[tex] D=\frac{C}{\pi} [/tex]
[tex] D=\frac{9.42}{\pi} [/tex]
[tex] D= 3\ cm [/tex]
therefore
the answer Part 7) is the option
C. 3 centimeters
Part 8) The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentagon?
we know that
The number of sides in a pentagon is equal to [tex] 5 [/tex]
so
The perimeter is equal to
[tex] P=5*a [/tex]
where
a is the length side
in this problem
[tex] a=921\ ft [/tex]
substitute
[tex] P=5*921 =4,605\ ft[/tex]
therefore
the answer Part 8) is the option
D. 4,605 ft.
