1/4 of the children caught the first train. 1/4 of the children caught the second train. the rest
caught the third train. how many caught the third train. plz show work for brainleist

Step-by-step explanation:

It is simple, all the children is 4/4 - 1/4 - 1/4 = 2/4 or 1/2.

Subtract 2/4 for the ones that already caught the bus.

2/4 or 1/2

PLEASE MARK BRAINLIEST

Step-by-step explanation:

Train 1: 1/4 T where T is the total.

Train 2: 1/4 T where T is the same thing.

Train 3: = the rest

Rest = T - 1/4 T - 1/T  = 1/2 T

So the rest of the students (1/2 the Total ) = caught the third train.

∠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.