Agroup of students were surveyed to find out if they like walking pets and/or mowing lawns during the holidays. the results of the survey are shown below:

25 students like walking pets
4 students like walking pets but do not like mowing lawns
23 students like mowing lawns
7 students do not like walking pets

four students created the tables below to represent the data. wp represents walking pets and ml represents mowing lawns.

sam
like wp do not like wp total
like ml 2 21 23
do not like ml 5 4 9
total 7 25 32
brenda
like wp do not like wp total
like m 21 2 23
do not like ml 4 5 9
total 25 7 32
cathy
like wp do not like wp total
like ml 23 2 25
do not like ml 4 5 9
total 27 7 34
nathan
like wp do not like wp total
like ml 2 23 25
do not like ml 5 4 9
total 7 27 34

which student's table is correct?
sam
brenda
cathy
nathan

the answer is Brenda.

Step-by-step explanation:

Look at the totals 1st to see if they add up to the words. in this case, only Brenda's does.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕