Answer:
<A = 124
Step-by-step explanation:
Remark
This figure has 7 angles. Therefore it can have 5 lines drawn from 1 vertex to all the other vertexes. That gives you 5 triangles. See the diagram below to see the result of what I have just described. The sum total of all the interior angles is 5 * 180 = 900
Equation
Add the seven given angles from your figure to equal 900
(9x - 2) + (10x + 2) + 165 + 100 + (5x + 83) + (12x + 18) + 138 = 900
Solution
Now add all the like terms on the left together.
So this simplifies to
36x + 504 = 900 Subtract 504 from both sides
36x + 504 - 504 = 900 - 503 Do the subtraction
36x = 396 Divide by 36 on both sides
x = 396/36 Do the division
x = 14
Answer
But you want angle A.
<A = 9x - 2 = 9*14 - 2 = 126 - 2 = 124
Answer:
462 paths from A to B
Step-by-step explanation:
The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.
The first step is to represent the grid map itself. (See attachment 1)
From the question, we understand that:
There are a several number of ways to navigate through. However, one possible way is in attachment 2
In attachment 2,
And we have:
and
The number of possible paths (N) is then calculated as:
Substitute values for N and U
<em>Hence, there are 462 possible paths from A to B</em>
