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

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

answer: answer is b.

[m < b = 120º]

step-by-step explanation: