Porfavor me podrían explicar como hacer este tipo de ecuaciones y el resultado? , mañana tengo examen, y no he ido a clases por motivos de salud : (

si la edad de alberta y evelyn suman 45 años y el triple de la edad de alberta es 3 años menor que la edad de evelyn ¿qué edad tiene cada una?

Alberta=14 Evelyn=31

Step-by-step explanation:

Si la edad de las dos suman 45 y el triple de la edad de alberta es 3 anos menor que la edad de evelyn. 45 menos los 3 anos menor entre tres serian 42/3=14 ahora 45-14=31

good job you smart son of a gun you are smarter that einstein. 7

∠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.