Garrett has one dollar less than three times as much money as liz has together they have $175 how much money does garrett have

Hello there!

"Garrett has one dollar less than three times as much money as Liz has"

If we define G as the amount of money that has Garret and L as the amount of money that Liz has, then:

3L - G = $1

and "together they have $175 "

L + G = $175

Now we want to know how much money Garrett has:

We could isolate L in the second equation:

L = $175 - G

Now we have L written in terms of G, and we can replace it in the first equation.

3L - G = $1

3*($175 - G) - G = $1

$525 - 4G = $1

4G = $525 - $1 = $524

G = $524/4 = $131

So Garret has 131 dollars, and you can replace it in the first equation (or the second) and get how much money Liz has:

$131 +G = $175

G = $175 - $131 = $44

this doesn't make sense lol

∠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.