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padilas [110]
3 years ago
9

Help me out i dont get this and i want help

Mathematics
1 answer:
Virty [35]3 years ago
4 0
As the triangles, are congruent, we get AB=BD, AC=CD, and BC=BC
AB=BD
x=3
AC=CD
x=6
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Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

S_n = \frac{n}{2}(n - 1)

Step-by-step explanation:

Given

For 5 people

\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}

Using the given instance of 5 people, the number of handshakes can be represented as:

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T_n = 0 --- The last term

So:

S_n = \frac{n}{2}(n - 1 + 0)

S_n = \frac{n}{2}(n - 1)

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