Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square
The values of the Maze are as follows;
- x = 10
- x = 8
- x = -9
- x = 5
- x = 11
- x = 3
- x = -5
- x = 9
- x = 7
- x = -7
Reason:
The solutions are;
10·x + 15 = 12·x - 5 by alternate interior angles theorem
6·x + 6 = 5·x + 14 by alternate exterior angles theorem
x + 109 = 100 by corresponding angles theorem
11·x + 5 + 120° = 180° by same side interior angles theorem
11·x - 1 = 10·x + 10 by corresponding angles theorem
35·x + 5 = 110 by corresponding angles theorem
x + 85 + x + 105 = 180 by same side interior angles theorem
7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem
19·x - 3 = 130 by alternate interior angles theorem
x + 67 = 60 by alternate interior angles theorem
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The area of the entire circle is pi*(7)^2, or 49pi.
Due to the 90 degree angle, the area of the larger blue sector is
90
------- * 49 pi = 49/4 units^2
360
The area of the smaller blue sector is
48
------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2
360
The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):
59 units^2
-2a from both sides then divide by -5 and a=1
It is 3.75 for the answer
