Answer:
Step-by-step explanation:
Because vertical angles are always equal, we want to solve 
.
We can add 10 to both sides to get 
.
We can subtract 
from both sides to get 
.
Lastly, we divide both sides by 20 to get 
.
So, 
and we're done!
The check is left as an exercise to the reader.
Answer:
1: D
2: B
3: y=-4x+22
4: y=-8x+26
Step-by-step explanation:
1: Parallel lines have the same slope, and the only one with a slope of 3x is D
2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope
3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)
Plug in: 6=-4(4)+b
You would then solve for b.
6=-16+b
22=b
Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)
4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.
Plug in: 10=-8(2)-b
10=-16+b
26=b
Again, plug that into the equation y=mx+b
Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.
We need to follow PEMDAS
We have to do the addition and subtraction from left to right.
Rearrange the terms
52 - 18 - 34
52 -1(18+34)
52 -1(52)
52 - 52
0
So, at the end, your final answer is 0.
1 box = 100 buttons
10 boxes = 1000 buttons
5 boxes = 500 buttons
----------------------------------------
15 boxes = 1500 Buttons
A complex fraction is fraction divided by another fraction. It's complex.. :-3
(a) (2 1/4 lettuce) / (1/2 tomato)
(b) the amount of tomatos is doubled (1/2 lb --> 1 lb) So double the amount of lettuce. (2 1/4 * 2 = 4 1/2 cup lettuce)
