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25 votes
25 votes
Find the value of the variable and BC if B is between A and C. Enter your answer as "x=__ and BC=__". Copy the text inside the quotations and replace the occur before and after the word 'and'. with numbers. The only spaces

AB = 11
BC = 4x
AC = 83 ​

User JPNagarajan
by
2.6k points

1 Answer

16 votes
16 votes

Explanation:

Think of a straight line with the points A, B, and C with B in the middle.

A--------B--------C

Since AC is the whole line, we can conclude that AB+BC=AC.

So:

11+4x=83

Use algebra to find x

4x = 72

x = 18

Plug in the value of x to find BC

BC = 4(18) = 72

To make it simpler, you can find BC by simply subtracting 11 from 83.