for the following diagram, assume that L || M Solve for each of the variables, x, and y. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find the solution.

x: 80°

y: 15°

Step-by-step explanation:

x: 180-100= 80° (alternate angles)

y: 180-90= 90÷6= 15° (angles on a straight line add up to 180°)

y = 15

x = 80 degrees

Step-by-step explanation:

6y = 90 (Angles on a straight line add up to 180 in which if 1 angle is 90 the other is also 90)

Dividing both sides by 6

=> y = 15

x = 180 - 100  (Angles on a straight line and it's adjacent angle is 100)

x = 80 degrees

the input value is the number of times you fold it. the input value is also known as the x-value. 

the output value is its thickness. the output value is the y-value.

when you don't fold it all, the thickness will remain the same, which is 1. the ordered pair would be (0,1).

when you fold it once, the thickness will double from 1 to  2. the ordered pair would be (1,2).

when you fold it a second time, the thickness will double from 2 to  4. the ordered pair would be (2,4).

fold it one more time, and the thickness will be 8. the ordered pair is (3,8)

fold it the fourth time, and the thickness doubles. 8 x 2 = 16. the ordered pair is (4,16)

fold it the fifth time, and the thickness goes from 16 to 32. the ordered pair is (5,32)

the ordered pairs would be:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

and so on : p

the question asks for 6 ordered pairs, so i bolded the first six.

now, the equation for this would be 

if we graph that, and we do the vertical line test, then we know this is a function.

it is a function because each x-value has a different y-value. there are no y-values that have the same x-values.

i have attached the graph of that line.

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step-by-step explanation:

1/5^2 = 7.56/45