Geometry !

see picture below

2. RS = ST, Reason: Midpoint of a line (definition)

4. RS = XY, Reason: Transitive Property of congruence (if a=b, and b=c, a=c)

Step-by-step explanation:

A Midpoint divides a line exactly in half, due to the definition of a Midpoint. So, RS = ST, since they measure the same distance from the Midpoint. RS=XY because of the Transitive Property of Congruence. If ST = XY, and RS = ST, then RS = XY.

we are given

total number of students =23

the additional number of cookies =x

you have baked 12 cookies

so, total number of cookies =x+12

the additional number x of cookies you need to bake in order to have 2 cookies for each student

so, we can find total number of cookies

total number of cookies = ( total number of students)*(cookies each student)

so, we can plug values

total number of cookies = ( 23)*(2)

total number of cookies = 23*2

so, we can set them equal

x+12=23*2x+12=23∗2

we can divide both sides by 23

\frac{x+12}{23} =2

23

x+12

=2

so, the equation is :

\frac{x+12}{23} =2

23

x+12

=2

now, we can solve for x

Subtract both sides by 12

x+12-12=46-12x+12−12=46−12

x=34x=34

so,

the additional number of cookies is 34 it