You are using a compass and straightedge to construct a line through point P that is parallel to line m. Complete the following steps: Step 1: Start by drawing point P and line m. Choose a point Q anywhere on line m and draw QP.

Step 2: Draw an arc with center Q that crosses QP and line m. Label points A and B where the arc crosses QP and line m. Using the same compass setting, . Label the point where the second arc crosses QP as C.

Step 3: Draw an arc with radius ___ and center A. Using the same compass setting, draw an arc with center C. Label the intersection D.

Step 4: . This line is parallel to line m.

Options for Step 2:
-draw an arc with center B
-draw an arc with center P
-draw another arc with center Q opposite the first arc

Options for Step 3:
-QP
-AB
-QC

Options for Step 4:
-Draw line CB
-Draw line PF
-Draw line QD

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: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

idc

step-by-step explanation:

idk