Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff? Please show work.

The vertical distance between Dan and Jeff is of 26 feet.

Step-by-step explanation:

Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake.

His position is -34 feet.

His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet.

Dives to 40 feet, and descends 20 more feet. So

-(40 + 20) = -60

What is the vertical distance between Dan and Jeff?

|-34 - (-60)| = |-34 + 60| = 26

The vertical distance between Dan and Jeff is of 26 feet.

c

step-by-step explanation:

c

∠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.