If bd=bc bd= 5x-26 bc =2x+1 and ac =43 find ab

The correct answer is:

24

Explanation:

Using the segment addition postulate, AC = AB+BC.

We know that BD=BC, BD=5x-26 and BC=2x+1.  We can set up an equation to find the value of x:

5x-26=2x+1

Subtract 2x from each side:

5x-26-2x = 2x+1-2x

3x-26 = 1

Add 26 to each side:

3x-26+26 = 1+26

3x=27

Divide both sides by 3:

3x/3 = 27/3

x = 9

This means that BC = 2x+1 = 2(9)+1 = 18+1 = 19.

We know that AC = AB+BC; using our given information as well as the value of BC we just found, we have

43 = AB+19

Subtract 19 from each side:

43-19 = AB+19-19

24 = AB

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

answer:  

123455421

step-by-step explanation: easy