Two less than 2 times a number is the same as the number plus 64. what is the number?

Let n be the number unknown

2(n)-2=n+64

Use distribute property to remove parenthesis

2n-2=n+64

Move all n term to left side

2n-n-2=64

Combine like terms with n

N-2=64

Now add integer to right side by doing opposite sign

N = 64+2

Solve for n

N=66

Your number is 66

To check you substitute

2(66)-2=66+64

130. =130

∠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.