Solve for x. x+15.09=−2.57 enter your answer as a decimal in the box. solve for x. −6> −30−4x enter your answer, as an inequality, in the box. solve for t. −22t> 66 enter your answer, as an inequality, in the box.

Answers:

1)In this first question we have to clear from the following equation:

2)Here we have to find the value of in the following inequality:

Then:

3)Here we have to find the value of in the inequality:

Note that -22 is a negative number and is dividing , this number goes to the other side of inequality dividing, and the direction of the inequality must change:

Finally:

the answer is c

hope this !

∠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.