One of two complementary angles is 8 degrees less than the other. which of the following systems of equations represents the word problem? x + y = 90 and x - y = 8 x + y = 90 and 90 - x = 8 x + y = 90 and y = 8x

( x+y = 90 ) and ( x - y = 8 )

Step-by-step explanation:

In this question we will form the equation as per statements given.

"One of two complementary angle is 8 degrees less than the other."

Let the two angles are 'x' and 'y'

By the statement ( y = x - 8 )

                              y - x = (-8)

              or           x - y = 8 (1)

"Both the angles are complementary."

x + y = 90° (2)

Therefore, system of equations will be

( x+y = 90 ) and ( x - y = 8 )

Option A. is the correct answer.

x=30

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.