Write down a different ratio equivalent to 42 : 12

Step-by-step explanation:

simplify it maybe

try it with 2 and 3

Another ratio that is equivalent to this is 7:2.

Step-by-step explanation:

If we divide both sides by 6, we get 7 and we get 2. Since 42 comes first, we put the 7 in place of the 42. Then we replace 12 with 6. After this, we get the ratio 7:2.

∠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.

l.jnl.j/n.m,lm,

step-by-step explanation: