2(10) + 2(x – 4) can someone help me with this problem

2 x  + 12

Step-by-step explanation:

2x+12

Step-by-step explanation:

Multiply 2 by 10, and multiply 2 by x and -4 since x and -4 are in the parenthesis you just have to multiply them both by 2 separately.

2(10) + 2(x – 4)

20+2x-8

Subtract 20 by 8

2x+20-8

Finally, you have your answer!

2x+12

∠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.