Answer:
2/11
Step-by-step explanation:
Let's say x = 0.18181818..
Then, 100x = 18.1818181....
so, if you put x in the repeating decimal in 18.1818,
you get the equation,
100x = 18+x
so, 99x = 18
x = 18/99 = 2/11
Answer:
4x - 16
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
the perimeter of a triangle = sum of the side lengths
let the unknown length be represented with y
13x - 21 = 4x + 3 + 5x - 8 + y
13x- 21 = 9x - 5 + y
Make y the subject of the formula
13x - 21 - 9x + 5 = y
4x - 16 = y
the side length = 4x - 16
Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition
makes sure you are still getting lines (else you would get rid of both x and y); the condition
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.