I'm pretty sure it'd be 4/6 and then it'd simplify to 2/3. You add together the possibilities of rolling an odd number (3/6) to the possibilities of getting a number less than 3 (2/6) and then subtract the number that they both had in common (which would've been the number 1). So it'd be 3/6+2/6=5/6 - 1/6. and you'd get 2/3
Answer: -4x - y = -50 (second option)
Step-by-step explanation: The only way lines won't intersect is if they're parallel. Parallel lines have the same slope --> the line must have a slope of -4x.
Option 1:
- y = 4x - 200 (add 4x to both sides)
- <em>Different slope.</em>
Option 2:
- -y = 4x - 50 (add 4x to both sides)
- y = -4x + 50 (divide by -1)
- <em>Same slope.</em>
Option 3:
- -y = -4x - 200 (subtract 4x from both sides)
- y = 4x + 200 (divide by -1)
- <em>Different slope.</em>
Option 4:
- -y = -4x - 50 (subtract 4x from both sides)
- y = 4x + 50 (divide by -1)
- <em>Different slope.</em>
Answer:
The number is -100, Jill can think of something else, now.
Step-by-step explanation:
x = the number
x/4 - 20 = -45 {twenty less than one-fourth of the number is -45}
x/4 = -25 {added 20 to each side}
x = -100 {multiplied each side by 4}
Answer:
Step-by-step explanation:
We can easily find the determinant of a matrix of which will be the cofactor of 2. Multiplying the diagonal elements of the matrix, we get. Now subtract the value of the second diagonal from the first, i.e, 48 – 3 = 45. Check the sign that is assigned to the number
Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
