Use the polynomial identity to determine which values of x and y generate the values of the sides of the following right triangle.

x = 8, y = 3
x = 3, y = 8
x = 6, y = 4
x = 4, y = 6

answer is  x = 8, y = 3

Step-by-step explanation:

x²= 73 - y²  

x² - y² = 55  

substituting in to it  

73 - 55 = 2y²

18 = 2y²

subtract 2y² from both side

18 - 2y² = 2y² - 2y²

2y² + 18 =0

subtract 18 from both side

2y² + 18 - 18 = 0 - 18

-2y² = - 18

divide both sides by -2

-2y²/-2 = -18/-2

y² = 9 Take square root

y = ±

y = 3  

x² = 73 - 9  

x = 8  

answer is x = 8, y = 3

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: