Anyone know this answer ?

9514 1404 393

  sin(Z) = 3/5

  cos(Z) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you how to do this.

  Sin = Opposite/Hypotenuse

  sin(Z) = XY/XZ = 9/15

  sin(Z) = 3/5 . . . . . reduced fraction

__

  Cos = Adjacent/Hypotenuse

  cos(Z) = YZ/XZ = 12/15

  cos(Z) = 4/5 . . . . . reduced fraction

∠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.

95.03 is the answer. hope this !