# Question 11 the correct answer is b to find bc when

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Question 11. The correct answer is B.To findBCwhenADis 30units,ACis 16 units,BDis 20 units, and the points are alongshown in the following, you must notice thatis the intersection ofandSo the sum of the lengths ofandwould be the same as the sumof the lengths ofand, becauseAC=AB+BC,BD=BCandAD=AB + BC+CD.By substitution,AC+BD=AB+BCCD = AB+BC+CD+BC=AD+By substituting lengthsAD+BC=AC + BD,or 30 +BC= 16 + 20, or 30+BC= 36. Subtracting 30 from both sides yieldsBC= 6.If you choseA, you probably subtracted 16 from 20. If you choseE, youprobably thought you needed more information to solve the problem.as.+CD,+BC+BC.

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