Point b is between points a and c. if ab = 3x -1, bc=9x+8, and ac=139, find the measure of bc

BC = 107

Step-by-step explanation:

Point B is between A and C.

AB  = 3x-1

BC = 9x+8

AC = 139

We need to find BC for which we need to find x first.

Finding 'x':

We know that AB + BC = AC

*putting the values of AB, BC and AC*

3x-1+9x+8 = 139

12x+7=139

12x=132

x=132/12

x=11

Now, BC = 9x+8 = 9(11) +8

BC = 99+8

BC = 107

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step-by-step explanation:

because i said it is

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: