9514 1404 393
Answer:
Step-by-step explanation:
1. A right angle has a measure of 90°. The whole is the sum of the parts.
(2x +3)° +49° = 90°
2x +52 = 90 . . . . . . . . divide by °, collect terms
2x = 38 . . . . . . . . . . . . subtract 52
x = 19 . . . . . . . . divide by 2
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2. A linear pair measures 180°. The whole is the sum of the parts.
(x -5)° +151° = 180°
x +146 = 180 . . . . . . . divide by °, collect terms
x = 34 . . . . . . . . .subtract 146
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3. We presume this pair of angles is supposed to be supplementary. That is, their sum is 180°.
64° +(3x -1)° = 180°
3x +63 = 180 . . . . . . . divide by °, collect terms
3x = 117 . . . . . . . . subtract 63
x = 39 . . . . . divide by 3
Answer:
Step-by-step explanation:
Answer:
NO!
Step-by-step explanation:
They are not equivalent. We can check this. If you rewrite them as fractions 13/14 and 1/2, you can cross multiply and see if they are equal. Which they are not. Also, you could just guess.... think of 13:14 as 13 out of 14. And 1:2 as 1 out of 2. You can tell that 13/14 is much greater than 1/2.
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
- Addition of 20 points for rolling a 6
- Removal of 3 points for not rolling a 6
The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
Take LCM
The number of games is 100.
So, the expected gain is:
Hence, the expected total gain is 83 points
Read more about expected value at:
brainly.com/question/13499496
Answer:
To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.
