Respuesta :

MrRoyal

The values of x are -12, 11, -9 and -9/2

How to determine the values of x?

Question 6

Here, we have:

AC =13

BC = x + 18

AB = 19 + x

Given that the points A, B and C are collinear points, where point B is between points A and B.

This means that

AC = AB + BC

So, we have

19 + x + x + 18 = 13

Evaluate the like terms

37 + 2x = 13

Evaluate the like terms

2x = -24

Divide by 2

x = -12

Hence, the value of x is -12

Question 7

Here, we have:

AC = 3x - 11

BC = 10

AB = 2x - 10

Given that the points A, B and C are collinear points, where point B is between points A and B.

This means that

AC = AB + BC

So, we have

2x - 10 + 10 = 3x - 11

Evaluate the like terms

2x = 3x - 11

Evaluate the like terms

-x = -11

Divide by -1

x = 11

Hence, the value of x is 11

Question 9

Here, we have:

AC = x + 19

BC = 10

AB = 2x + 9

Given that the points A, B and C are collinear points, where point B is between points A and B.

This means that

AC = AB + BC

So, we have

2x + 9 + x + 19= x + 19

Evaluate the like terms

3x  + 28 = x + 19

Evaluate the like terms

2x = -9

Divide by 2

x = -9/2

Hence, the value of x is -9/2

Read more about line segments at:

https://brainly.com/question/2437195

#SPJ1

Otras preguntas