If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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Answer: the answer will be none
Step-by-step explanation:
<h2><u>Answers and Explanation</u></h2>
<u>(a) Betty’s expression:</u>
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
cost of the venue = 80
Total cost =<em> 10x + 10x + 10x + 80</em>
<u>(b) Dawnie’s expression:</u>
Cost of the location = $80
Number of guests = x + x + x
Cost of all guests = $10(x + x + x)
Total cost = <em> 10(x + x + x) + 80</em>
<u>(c) Joan’s expression:</u>
Cost of the location = 80
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
= x(10 + 10 + 10) ⇒ After factoring out x.
Total cost =<em> x(10 + 10 + 10) + 80</em>
