Answer:
We obtain same product by both the methods.
Step-by-step explanation:
We are given the following in the question:
Commutative property of multiplication:

Different ways to find the product:
1. First way

2. Second way

We get the same product for both the calculations.
Answer:
31
Step-by-step explanation:
A conjecture is like a guess, opinion, or conclusion that is based off of incomplete information.
Hope this helps!
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Answer:
Perpendicular
Step-by-step explanation:
Put all the points on a graph.
Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.
On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.
A) First, we need to calculate x. We can do this by doing: 180-(70+50), which is nothing but 60.
Since the largest angle is 60, it means that the side opposite of it is the largest side. Which in this case, side AB.
So the largest side is AB.
Now, let's take a look at the smallest angle which is <B, because AC is the opposite of this angle, it must also be the smallest side.
We're left with angle <50, which is "medium" sized? Obviously, this can just be put in the middle (Side BC)
So, for response A, you should get AC, BC, AB.
Now for problem B, it's the same steps we did above. If you replicate what we did you should get PQ, PR,RQ.
Please let me know how I did.
Happy studying!