A bus route is 57 minutes long. A student is taking a trip on the bus for 2 3 the total route length. The student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination. How long is the student’s total trip? A)38 minutes B)57 minutes C)58 minutes D)106 minutes

Multiply the time spent on the bus the the total length of the bus trip:

57 x 2/3 = 114/3 = 38 minutes

Now add the amount of time they walk:

38 + 10 + 10 = 58 minutes total.

C. 58 minutes

2

step-by-step explanation:

1+1=2

∠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.