Let |r| = 17 at an angle of 40° and |s| = 14 at an angle of 160°. Which expression represents |r + s|? StartRoot 17 squared + 14 squared minus 2 (17) (14) cosine (40 degrees) EndRoot StartRoot 17 squared + 14 squared minus 2 (17) (14) cosine (60 degrees) EndRoot StartRoot 17 squared + 14 squared minus 2 (17) (14) cosine (10 degrees) EndRoot StartRoot 17 squared + 14 squared minus 2 (17) (14) cosine (120 degrees) EndRoot

h df tyjgtyj ttd y ytkgfty ty

step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

∠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.

the answer would be c:   ax + b = ax + c

step-by-step explanation:

a

step-by-step explanation:

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