## DrPepperx3 Group Title @Directrix 7 months ago 7 months ago

1. DrPepperx3 Group Title

5.For which values of x and y is line p parallel to line q? a. x=5 y=3 b. x=1 y=5 c. x=3 y=5 d. x=3 y=6

2. Directrix Group Title

First, recall the ways to prove lines parallel. See the attached chart.

3. DrPepperx3 Group Title

yeah I cant really see it though

4. Directrix Group Title

I agree. Look at this. The two angles marked in blue are same-side interior angles. Theorem: If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.

5. Directrix Group Title

So, you have an equation to solve: 45x - 5 + 16x + 2 = 180

6. DrPepperx3 Group Title

ohhhh okay!

7. Directrix Group Title

45x - 5 + 16x + 2 = 180 Combine the like terms on the left. What do you get?

8. DrPepperx3 Group Title

x=3

9. Directrix Group Title

Yes, that is what I got. Now, we have to get y.

10. DrPepperx3 Group Title

and to get y do we combine the terms on the right?

11. Directrix Group Title

I'm looking at these angles marked in red. They are supplementary because they are two adjacent angles whose exterior sides form a line. So, 16x + 2 + 26y = 180 16*3 + 2 + 26y = 180 Solve that ^ for y. Note that I replaced the x by 3 because that is what you solved for earlier.

12. DrPepperx3 Group Title

y= 5 (:

13. Directrix Group Title

That is what I got. So, which option is that?

14. DrPepperx3 Group Title

C

15. Directrix Group Title

Yes. It would be easy to get mixed up and put a). It is a good idea to double-check.

16. DrPepperx3 Group Title

yeah I know what you mean lol

17. DrPepperx3 Group Title

well I have 2 more s: want me to give you a medal close the post and make a new one?

18. Directrix Group Title

Yes, let's do that.