Rearrange the equation so x is the independent variable.6x+y=4x+11yy=

y = 0.2 x

Step-by-step explanation:

Since, a variable whose variation does not depend on that of another is called independent variable.

Here, given expression is,

6 x +y = 4 x +11 y

⇒ 6 x - 4 x + y = 11 y

⇒ 2 x = 11 y -y

⇒ 2 x = 10 y

⇒ 0.2 x = y

Thus, the value of x does not dependent on the value of y.

Therefore, x is independent variable.

Thus, required answer is y = 0.2 x.

Its actually 1/5x

Step-by-step explanation:

i just did this on khan academy

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or