Answer:
Change in percent = 56.75 (Approx.)
Step-by-step explanation:
Given:
Score in first game = 37 points
Score in second game = 58 points
Find:
Change in percent
Computation:
Change in percent = [(Score in second game - Score in first game)/Score in first game]100
Change in percent = [(58-37)/37]100
Change in percent = [(21)/37]100
Change in percent = 56.75 (Approx.)
1) From the data, we can see that

is given.
2) Next,

since they are alternate angles.
3) By substitution, these means that

4) Finally, a || b since

this is because, angle 7 and angle 8 are corresponding angles.
Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6
4 and 8, 1 and 5, 3 and 7
In our case, 7 and 8 are corresponding angles
2 numbers can be represented by the variables x and y.
Set up a system of equations:


The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:


Divide both sides by 2 to get x by itself:

One of the numbers will be 17.
Plug the value into one of the equations:

Add y to both sides:

Subtract both sides by 1 to get y by itself:

The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.
A and b are perpendicular meaning that they intersect forming 90
b and c are parallel meaning that the intersection of c and a is also perpendicular
11x - 9 = 90 degrees
solve
11x - 9 = 90
add 9 to both sides
11x = 99
divide both sides by 11
x = 9
Hope this helps