The pie chart represents the proportion of how Colin spent the £900 he took on holiday all values are in degrees workout how much he spent on each category

£180,£540 and £180

Step-by-step explanation:

Looking at the information presented, we don't have the percentages given neither do we have the items bought

However, let's say the money was spent on drinks, hotel reservations and food.

20% on food

60% on hotel reservations and

20% on transportation

We can now compute the individual cost of the a amount spent on each category from their percentage

For food

=20/100*900

=0.2*900

=180

Hotel reservations

=60/100*900

=0.6*900

=540

Foe transportation

=20/100*900

=0.2*900

=180

So, if you have your data, only follow the steps above and you will get your answers

To check, when we add all the amounts together they should sum up to 900

180+540+180=900

∠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.

yes

step-by-step explanation: