1.what is the correct reason for statement 2?
prove: 2(w + 6) + 4 = 2w + 16
statements reasons
1. 2(w + 6) + 4 1. given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. associative property
4. 2w + 16 4. addition

2.what is the correct reason for statement 2?
prove: 4 + 3x + (x ∙ 2) = 5x + 4
statements reasons
1. 4 + 3x + (x ∙ 2) 1. given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. addition
4. 5x + 4 4. commutative property

3.what is the correct reason for statement 3?
prove: (11m) ∙ 4 + m = 45m
statements reasons
1. (11m) ∙ 4 + m 1. given
2. 4 ∙ (11m) + m 2. commutative property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. commutative property
5. 45m 5. addition

4.what is the correct reason for statement 5?
prove: k + 4 + 6(1 + k) = 11k + 10
statements reasons
1. k + 4 + 6(1 + k) 1. given
2. k + 4 + (6+ 6k) 2. distributive property
3. k + (4 + 6) + 6k 3. associative property
4. k + 10 + 6k 4. addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. addition

5.select the correct reasons for statements 1 and 3 to complete the proof.
prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. multiplication
3. 3x + 2 • x • 11 = 25x 3. ?

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 ☕

there is nothing below so i cannot

step-by-step explanation: