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An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?

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pink2186

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

Mid-point of a segment joining two points:

  • If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

Learn more to get the center of a segment joining two points here,

https://brainly.com/question/10677252?referrer=searchResults

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