Student Council is designing a large poster that will tell people who they are and what positions they hold. Each member gets a triangle piece of paper to decorate, then all the pieces will be fitted together to form the final display. The triangles are identical and fit together to form a regular polygon. It will look similar to the shape below: If there are eight council members, what type of polygon will be formed? What will be the sum of the measures of the internal angles of the final shape? To achieve this shape, what type of triangles will the individual pieces be? What will be the measures of each of the three angles in each of the triangles? Redo parts (2) and (3) if the Council decides to include triangles for the two staff advisors, assuming the poster will still form a regular polygon, but now with 10 triangles.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

answer is 67%

step-by-step explanation:

what are ur choices?

16

step-by-step explanation: