Simplify -8g+3+5-7g
a) g+8
b) -15g + 8
c) 2-g
d) -7g

B)

Step-by-step explanation:

The given expression is -8g+3+5-7g

We regroup the terms to obtain;

We now combine the similar terms to obtain;

The correct option is B.

B) -15g + 8

Step-by-step explanation:

-8g+3+5-7g

Combine like terms

-8g-7g  +3+5

-15g +8

∠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.