What’s the slope of 4x+5y= -20

-4/5

Step-by-step explanation:

Lets put the equation in slope intercept form

4x+5y = -20

Subtract 4x from each side

4x-4x+5y = -4x-20

5y = -4x-20

Divide each side by 5

5y/5 = -4x/5 -20/5

y = -4/5 x -4

The equation is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is -4/5  and the y intercept is -4

answer: -8.2562234e+13

∠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.