Automated electron backscattered diffraction is now being used in the study of fracture phenomena. the following information on misorientation angle (degrees) was extracted from the article "observations on the faceted initiation site in the dwell-fatigue tested ti-6242 alloy: crystallographic orientation and size effects"class: 0-< 5 5-< 10 10-< 15 15-< 20rel fraq: .177 .166 .175 .136class: 20-< 30 30-< 40 40-< 60 60-< 90rel fraq: .194 .078 .044 .030a) is it true that more that 50% of the sampled angles are smaller than 15 degrees, as asserted in the paper? b) what proportion of the sampled angles are at least 30 degrees? c) roughly what proportion of angles are between 10 degrees and 25 degrees? d) construct a histogram and comment on any interesting features.

∠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.

9 x 8 divided by (5-3)=36

a - base

b - exponent

so,

step-by-step explanation: