Answer:
Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.
Step-by-step explanation:
Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.
Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.
Answer:
1.5000000000000000000
Step-by-step explanation:
There are a total of 4 queens in a standard deck of 52
cards. The probability that the 2 consecutive draws are queen is:
Probability = (4 / 52) * (3 / 51)
<span>Probability = 12 / 2652 = 0.004</span>
Answer:
-3.6
Step-by-step explanation:
Simplifying
7 + 3x + 4 = 0
Reorder the terms:
7 + 4 + 3x = 0
Combine like terms: 7 + 4 = 11
11 + 3x = 0
Solving
11 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11
Combine like terms: 0 + -11 = -11
3x = -11
Divide each side by '3'.
x = -3.666666667
Simplifying
x = -3.666666667
Answer: The point (0,0)
This point is also known as the origin
The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number
If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
