20 points ad first to answer gets brainily 1. evaluate 6r + 7 for r = 1.2 a. 0.2 b. 7.2 c. 13 d. 14.2 2. write an algebraic expression for " julie runs three miles less than twice the number of miles, n, that hannah runs." a. 2 n -3 b. 3n -2 c. 2n + 3 d. 3n + 2 3. solve 5s + 40 = 55 using number sense. a. 3 b. 15 c. 19 d. 95 4. translate "the sum of eight and the product of two and y is twenty-four" into an equation. a. 8y - 2 = 24 b. 8y + 2 = 24 c. 8 + 2y = 24 d. 8 - 2y=24

∠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.

42.4

step-by-step explanation:

convert to decimal