ab= 3c+2 and BC = 5x10 what is the value of ac

Question

i really need help

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Question needs clarification. What is the shape ABC? (Triangle, arc, straight line, etc.) Are there two variables c and x? Is x meant to mean "multiply"? There is no operator between x and 10; is 10 meant to be an exponent?

Answer 1

There isn't sufficient information if the shape is a triangle, rectangle or parallelogram, but if the shape is a square ABCD then AB=BC. There seem to be typos in the lengths of AB and BC, so, assuming AB=3x+2 and BC=5x-10, 3x+2=5x-10, 12=2x, x=6, making AB=BC=20. Also, AC is a diagonal so:

AC²=AB²+BC²=400+400=800. Therefore AC=√800=20√2=28.28 approx.

Another possible answer is that A, B and C lie on a straight line so AC=AB+BC=3x+2+5x-10=8x-8.

If BC=5x+10, then AC=3x+2+5x+10=8x+12.

Please check the details of your question and see if any of the solutions meet the criteria of the proper question.