Ine cd passes through (0, 1) and is parallel to x + y = 3. write the standard form of the equation of line cd.

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Your answer would be x + y = 1

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Step-by-step explanation:

In this scenario, we know that the line of CD passes through the coordinates (0,1), and would also be parallel to the equation x + y = 3.

When two lines are parallel, that means that their slopes are equal.

The slope of the line must be:

Move the x to the other side by subtracting

The slope for the equation would be -1, since there is a invisible one after the equal sign. When there's no other number there, it would be 1.

The slope of the line CD would be -1.

Now, we would need to plug in -1 into the equation, to find the standard form.

should be your FINAL answer.

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∠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.

a

step-by-step explanation: