Question

Given ac=46 and the picture above

Answer 1

Answer:

1. x = 5

2. AB= 27

3. BC = 19

Step-by-step explanation:

Solving for X:

The entire segment is 46. Parts AB and BC make up the whole thing. So, to find x, add both expressions and set them equal to 46.

4x+7+3x+4=46 (combine like terms)

7x+11=46 (subtract 11 from both sides)

7x = 35 (divide by 7)

x = 5

Finding AB:

Plug 5 in for x and evaluate the expression.

4(5)+7

20 + 7= 20

AB is 27

Finding BC:

Plug in 5 for x and evaluate the expression.

3(5)+4

15+ 4=19

Check your work.

Add the values of AB and BC to make sure they add up to 46, which is AC.

27 + 19 = 46, so this is correct.

Answer 2

Answer:

x = 5, AB = 27, BC = 19

Step-by-step explanation:

From the diagram

AB + BC = AC , substitute values

4x + 7 + 3x + 4 = 46 , that is

7x + 11 = 46 ( subtract 11 from both sides )

7x = 35 ( divide both sides by 7 )

x = 5

Thus

AB = 4x + 7 = 4(5) + 7 = 20 + 7 = 27

BC = 3x + 4 = 3(5) + 4 = 15 + 4 = 19