Paul Colin and Brian are waiters one night the restaurant tips total up to £77.40 they share the tips in a ratio of 2.3.4 how much does Brian get over Paul ​

Ratio

Paul  :  Colin  :  Brian

 1 .   :    3 .    :     5

Total Amount Collected

£77.40

Find I share of the money collected

Total shares = 1 + 3 + 5 = 9

9 shares = £77.40

1 share = £77.40 ÷ 9

1 share = £8.60

Find Brian's share

1 share = £8.60

5 shares = £8.60 x 5

5 shares = £43

Find Paul's share

1 share = £8.60

Difference in Brian's and Paul's share

£43 - £8.60 = £34.40

£34.40

∠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.

if you was gonna solve for a, a is a   < -12