A primary school has a running track. it has two straights of 50 metres.
also there are two bends that are semicircles with diamter 30 metres
work out the distance around the running track

Distance around the track = 194.3 metres.

Step-by-step explanation:

Given: The two straight sides are of the track are 50 metres each

          Diameter of each bend = 30 metres

Thus;

radius of the bends =

                                  =

                                  = 15 metres

So that,

length of the semicircular bend = x 2r

                                   = r = x 15

                                   = 47.143

length of each semicircular bend is 47.14 metres.

Distance around the track = addition of the length of each straight sides + addition of the length of the bends

                                 = 50 + 50 + 47.14 + 47.14

                                 = 194.28

Therefore,

Distance around the track = 194.3 metres.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.