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sammy [17]
3 years ago
6

There are 10 people in a room, including you. Each person in the room must shake hands one at a time, and only that one time, wi

th all the other people in the room. (no two people shake hands more than once). How many handshakes will occur?
Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer: There are 45 handshakes will occur.

Step-by-step explanation:

Since we have given that

Number of people in a room = 10

We need to find the number of handshakes that would occur.

Number  of hands in each handshake require = 2

We will apply "Combination":

So, number of possible handshakes would be

^{10}C_2=45

Hence, there are 45 handshakes will occur.

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A base angle of an isosceles triangle measures 47°. What are the measures of the other two angles?
Goshia [24]

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Answer:

  47°, 86°

Step-by-step explanation:

The other base angle is congruent, so measures 47°.

The third angle brings the total angle measure to 180°, so has measure ...

  180° -2(47°) = 86°

The other two angles have measures 47° and 86°.

7 0
3 years ago
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34kurt

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3 years ago
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Find the value of x...X=?
Romashka [77]

Answer:

The value of  x° = 134°

Step-by-step explanation:

Given the angles of a quadrilateral

  • 100°
  • 51°
  • 75°
  • x°

We know that the sum of interior angles in a quadrilateral is 360°.

so

100° + 51° + 75° + x° = 360°

226° + x° = 360°

subtracting 226° from both sides

226° + x° - 226°  = 360° - 226°

x° = 134°

Therefore, the value of  x° = 134°

VERIFICATION:

100° + 51° + 75° + 134° = 360°

360°= 360°

8 0
3 years ago
How do I solve this question?
goldfiish [28.3K]
Basically there are 58 boys and each one can only answer once. Its mentioned that 20 boys dont play baseball or basketball so you'll write that down. Then its mentioned that 31 dont play baseball so you subtract 20 from 31 since each boy only answer once. your all left with 11 boys who dont play baseball but play football. In total 31 boys dont play baseball at all. 16 of them play football but earlier we figured out that 11 of those 16 boys also play foot ball dont play baseball so you subtract 11 from 16 and you left with 5 boys who play baseball and football together. The total number of football players is 16. your going to want to subtract 31 from 58 to get the remaining boys who play baseball which will be 27. Finally you subtract 5 from 27 and you'll get 22 boys who dont play football but play baseball. Hoped this helped if not then just look at the picture.

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A) Thé graphs f exponential functions eventually exceed the graphs of linear functions but not quadratic functions.
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