Answer:
Yes, lines M and N intersect because their slopes are different.
Step-by-step explanation:
First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)
Slope of Line M:
(3--11) / (3--4)
(3+11) / (3+4)
14/7
2
Now we know that the slope of Line M is 2.
Slope of Line N:
(9--2) / (-6-5)
11/-11
The slope of Line N is -1!
Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.
If the slopes were the same, Line N and M would NEVER intersect because they are parallel.
Hope this helps
Since there is a $5 delivery charge, Valerie will surely spend those money.
Also, since a salad costs $7, and Valerie buys 3 of them, she will spend 21 more dollars.
So, salads and delivery charge sum up to 
This means that Valerie has
dollars left. A drink costs $3, so she can buy
drinks.
Answer:
5
Step-by-step explanation:
Special triangle. 1:1:

You then would eliminate 6, by adding 6 to both sides

Then you want all of the X's on the same side, so you subtract 2x from both sides.

Then to isolate the X, you divide by 2

The answer is x=2