If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.
2 answers:
Answer:
44 units
Step-by-step explanation:
Since B is the mid-point of AC
AB=BC
or,4x+14=x+20
or, 4x-x=20-14
or 3x=6
or,x=6/3=2
AC=AB+BC
= 4x+14+x+20
= 4(2) + 14 +2 +20
= 8+14+22
=44 units
Answer:
44 units
Step-by-step explanation:
We know that B is the midpoint of AC, so by definition, AB = BC. Thus, set the two expressions equal and solve for x:
AB = BC
4x + 14 = x + 20
3x = 6
x = 2
Given that x = 2, plug this into the expression for AB and BC and add them to get AC:
AC = AB + BC = 4 * 2 + 14 + 2 + 20 = 44
Hence, AC is 44 units.
Hope this helps!
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