Workers in an office of 90 staff were asked their favourite type of take-away. The results are summarised in the table. Take-away Frequency Angle Pizza 20 a Curry 24 b Fish & chips 10 с Kebab 15 d Other 21 e What fraction of a person is one degree? Give your answer in its simplest form.

720

step-by-step explanation:

first i did work 2nd i did work and 3rd i did work

∠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.

is should be y = 5x

step-by-step explanation:

correct me if im wrong

chiken

step-by-step explanation: