Which is an equation of the line with slope 1/2 that contains (–4, 7)? a. y – 7 = (x – 4)
y – 7 = 1/2 ( x – 4),

b. y – 7 = (x + 4)
y – 7 = 1/2 ( x + 4),

c. y – 7 = 1/2 –4x +
y – 7 = –4 x + 1/2

d. y + 7 = (x + 4)

∠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.

2 1/2 feet

step-by-step explanation:

teleportation

step-by-step explanation: