Devaughn is 7 years older than sydney. the sum of their ages is 57. what is sydney's age?

The age of Sydney is 25 years old

Solution:

Given that Devaughn is 7 years older than Sydney

The sum of their ages is 57

Let the age of Sydney be "x"

Then according to given information,

Age of Devaughn = x + 7

Now, Sum of Sydney age and Devaughn age = 57

Substituting the values we get,

x + x + 7 = 57

2x + 7 = 57

2x = 57 - 7

2x = 50

x = 25

"x" represents age of Sydney. Hence Sydney's age is 25 years old

∠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.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4