Point b is between A and C. if AB =2x, BC =3x+1, and AC=21, find the length of BC

Step-by-step explanation:

We are here given that a point B is between A and C . Also ,

And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,

Substitute the respective values,

Add like terms ,

Subtract 1 on both sides,

Simplify,

Divide both sides by 5,

Now consider ,

Plug in the value of x found above ,

Simplify,

Add,

And we are done !

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.