Hi guysss hope everyone is having a good day
relax enjoy a nice coke and answer my questions ive asked multiple times lol :

the answer is D, 285.95

Step-by-step explanation:

Slope (m) =ΔY/ΔX=-160/237=-0.67510548523207

θ =arctan(ΔY/ΔX) + 360°=325.9764981421°

ΔX = 901 – 664 = 237

ΔY = -138 – 22 = -160

Distance (d) = √ΔX2 + ΔY2 = √81769 = 285.95279330687

∠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.

answer: the answer is b. i think hope i got it correct

step-by-step explanation: