Step-by-step explanation:
Remember that the sum of angles on a straight line are supplementary. (180°)
Therefore 3x + 2 + 6x - 20 = 180.
=> 9x - 18 = 180
=> 9x = 198
=> x = 22.
(-x-14)^2 = x^2 +14x+14x+196
which turns into x^2+28x+196.
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Solution:
The total number of possiblities rolling a number cube with faces numbered 1 to 6 is;
And the total number of possibilities spining the spinner is;
The number of possibility where outcome on the cube is greater than 2 is;

And the number on the spinner less than 9 is;

Hence, the unique combination is;

CORRECT OPTION: A
Answer:
If he scored x points in the first half, then x + p = 31
Find area of the semi circle.
The diameter is, half of that would be the radius, which is 3.
= 14.1
Find the area of the rectangle.
6 * 4 =24
Add the two areas together.
24 + 14.1 = 38.1