Answer:
105 degrees
Step-by-step explanation:
since alternate interior angles are equal they have to be the same, so you just divide by two to get 105.
Answer:46
Step-by-step explanation:
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Hi there! The answer is about 23%
First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.
To find the percentage of the buttered popcorn buckets that were large, we use the following formula:

Filling in this formula brings us to our answer:

Hence, the answer is about 23%