How many different angles are formed when ten distinct rays are drawn in the interior of an angle? what is the formula?

Step-by-step explanation:

a) When 10 rays are added, there are a total of 12 rays, counting those that define the original angle. Any two will form an angle, so you're counting the number of ways that 12 rays can be chosen 2 at a time. That's ...

  12C2 = 12·11/2 = 66 . . . . angles can be formed, including the original

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b) As you can tell from the above, the number of angles for n added rays is ...

  (n+2)(n+1)/2 . . . . the number of ways 2 rays can be chosen from n+2 rays

Here, n is the number of rays drawn in the interior of the original angle. This number includes the original angle.

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answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33