700000 hope this helps lol sorry I just need one of my questions answered
Answer:
10:17 (girls to total students)
7:17 (boys to total students)
10:7 (girls to boys)
7:10 (boys to girls)
Step-by-step explanation:
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
The value of ∠EOF is 75°.
Step-by-step explanation:
Let us take O be the center of the circle.
Given,
∠AOB = 45°
∠COD = 60°
To find the ∠EOF (value of x)
Now,
Since AD is the diameter of the circle, ∠AOD = 180°
∠AOB+∠COD+∠BOC = ∠AOD
Or, 45°+60°+∠BOC = 180°
or, ∠BOC = 180°-(45°+60°)
= 75°
Again,
∠BOC = ∠EOF as they are vertically opposite angle.
Hence,
∠EOF = 75°
Answer:
D
Step-by-step explanation:
Nuisance
