What are the answers for this page? #geometry

For the first one:

D) The perpendicular bisector of line MN

For the second one:

You need a protractor (angle ruler) to measure the angle. After finding the measurement, divide it into two. After finding the result, find the point that has that angle.

Example -

The pie measures 120°.

120° ÷ 2 = 60°

Find the point that measures 60° and connect the points (from the start to the edge of the pie).

For the third one:

C) m∠ABD ≅ m∠CBD

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.

you should at least use a calculater

step-by-step explanation: