1 3

This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2

2

4

hours on Wednesday. Next week Andres will practice with his band for the same number of hours

on Monday, Tuesday, and Wednesday.

What is the total number of hours Andres will practice with his band over these 6 days?

Step-by-step explanation:

Given

Required

Determine the hours of practice over 6 days

First, we calculate the hours for the given 3 days.

The hours of practice for the other three days is also 52 hours.

So, the total is:

∠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.