When two lines cross, there are four angles at the place where they cross.
Two angles that do NOT share a side are vertical angles. There are two pairs
of vertical angles where the lines cross.
Also, by the way, vertical angles are always equal to each other. It's often
very helpful to know that.
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.
Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line
y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)
y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)
Answer:
(-2, 6)
Step-by-step explanation:
We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...
6=-3(-2)
6=6
This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...
3(-2)+2(6)=6
-6+12=6
6=6
Hope this helps and have an amazing day ^^
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
Answer:
3/5
Step-by-step explanation:
