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Problem Solving (PS) | If AC=BD and AB=BC/3 in the number line, then what is the value of C?

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MathRevolution wrote:

--|---------|-----------------------|---------|-----------
A(1) B C D(2)

If AC=BD and AB=BC/3 in the number line, then what is the value of C?

A. 11/10
B. 19/10
C. 29/15
D. 6/10
E. 9/5

Attachment:
nmbrline.png

Assign numbers, starting with the most limiting factor: AB = BC/3,BC = 3AB
Smaller number is usually easier. I chose 3, not 1, on purpose. I wanted segments to be in multiples of 3.

Let AB = 3. BC is
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