Please help Show work too, I'm having a hard time understanding how to solve this! (30 points!)

y = -1/3

Step-by-step explanation:

Isosceles trapezoids have legs that are the same length

AB = CD

7y-4 = 4y-5

Subtract 4y from each side

7y-4-4y = 4y-5-4y

3y -4 = -5

Add 4 to each side

3y -4+4 = -5+4

3y = -1

Divide by 3

3y/3 = -1/3

y = -1/3

Step-by-step explanation:

an isoceles trapezoid means that both legs (the sides left and right) are of equal length.

the length of the baseline does not matter at all (I guess, it is given here to confuse us or for follow up questions).

so, we know that AB = CD.

and therefore

7y - 4 = 8y - 18

-4 = y - 18

14 = y

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

∠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.