A) The two angles are supplementary and form a linear pair. This means that their combined measure is 180 degrees.
B) 2x + 68 = 180
C) subtract 68 from both sides. 2x = 112. Divide both sides by 2. x = 56.
If we plug 56 back into the equation 2x, we get 112. The if we add 112+68 we get 180, which means that the two are a linear pair.
Answer:
its only 5 points tho :c
Step-by-step explanation:
I’m just gonna guess but I think 6
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
