Thurs 14 nov barvember
white
rose
maths
3
charlie has 4 times as much money as
jess.
filip has €35 more than jess.
they have e155 in total.
how much money does filip have?
| a pear tree is 50% taller than it was last
year.
an apple tree is one fifth taller than it
was last year.
the two trees are now the same height.
the height of the pear tree last year was
12 metres.
how tall was the apple tree last year?
last year
e155
pear
apple

hu

Step-by-step explanation: are u from the UK

you can not drow on this

step-by-step explanation:

∠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.