There are

ways of pairing up any 2 members from the pool of
contestants. Note that

so that

Answer:
step number 1 is incorrect.
Step-by-step explanation:
Here is the solution of this equation [2x-31-1=2].
2x-31-1=2
or 2x-31=2+1
or 2x=2+1+31
or 2x= 34
or x=34/2
or x= 17
the answer of this equation is X=17.
Answer:
180
Step-by-step explanation:
The 12 th square number is
12² = 12 × 12 = 144
The 6 th square number is
6² = 6 × 6 = 36
Thus
sum = 144 + 36 = 180
Answer:
$184
Step-by-step explanation:
87 is 5 less than 1/2 of the price without a sale. in that case 92 would be half the cost. To find the full value you would multiply 92 by two to get 184
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence

Solve for p in the equation

Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then

Hence, q = 30
Applying the rule of angles on a straight line
This implies

Substitute q = 30 into the equation

Solve for w

Hence, w = 90