Answer:
look in explanation
Step-by-step explanation:
1) bisector means cutting an angle in half. the small lines between segment SM and MT mean they are congruent. this means MW is a bisector. Since both halves of ST are congruent, we know SM = 19. 19+19=38
2) same logic here, M bisects ST. set both halves of ST equal to each other and solve.
3x-6=x+8
2x+14
x=7
plug back in to find MT (7)+8=15. MT=SM so double 15 to get ST. ST=30
3) the bisector will be exactly halfway between the points.
4) find difference between x and y values, and divide by 2
2-2=0 0/2=0 x moves 0
13-1=12 12/2=6 y moves 6
so add 0 and 6 to 2,1 to get (2,7)
5) same process
6--6=12 12/2=6
6-0=6 6/2=3
add 6 and 3 to -6,0 to get (0,3)
6) find the change in x and y between the coordinate sets. (x: 1- -1=2) (y: 2-4=-2) take the opposite of those values and add them to M
(x:1-2=-1) (y:2+2=4)
(-1, 4) are the other coordinates for C
7) take the same steps
(x:3-1=2) (y:7-1=6)
use -2 and -6
(x:3-2=1) (y:7-6=1)
(1,1) are other coordinates for C
8) use distance formula
sqrt (x1-x2)^2 + (y1-y2)^2
sqrt(1--1)^2 +(2-4)^2
sqrt (2)^2 +(-2)^2
sqrt 4+4
sqrt 8
9) same process
sqrt (-1-3)^2+(-5--8)^2
sqrt (-4)^2 +(3)^2
sqrt 16+9
sqrt 25
5
