Choose the equation that represents the line passing through the point ( -3, -1 ) with slope of 4

y = 4x +11

Step-by-step explanation:

point-slope form: y-y₁=m(x-x₁)

input numbers into the equation:

y+1=4(x+3)

the signs flip due to the fact that it became a double minus, which changes the sign into a positive.

Ex:

y-y₁ -> y-(-1) =

y+1

solve the equation:

y+1=4(x+3)

distribute the 4

y+1=4x+12

subtract 1 from both sides

y=4x+11

∠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.

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45