If A,B,C and D are collinear points in order and AD = ( 5x+20) cm ,AB=(x+10) cm, CD= (2x+10) cm, then AC=
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Answer:
AC = 3x+10
Step-by-step explanation:
Given that A,B,C and D are collinear points in order
=> AD is the larger line segment given by AD = AB+BC+CD
ie., 5x+20 = x+10 + BC + 2x+10 (measuments given)
=> 5x-x-2x = 10+10-20+BC
=> 2x = BC ie., BC = 2x
also, we have AC = AB+BC
=> AC = x+10 + 2x
=> AC = 3x+10
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