Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
Answer:
x>17/9
Step-by-step explanation:
-3(x-2) < 1/3
-3x+6 < 1/3
-3x < 1/3-6
-3x < -17/3
x > 17/9
Use photo math app it will help you
The second one 1.7 = 17/10
-0.048 = -6/125
98% = 98/100= 49/50
Standard deviation is: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.
Example, Say your data set is: 9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4.
The Mean is: 9 + 2 + 5 + 4 + 12 + 7 + 8 + 11 + 9 + 3 + 7 + 4 + 12 + 5 + 4 + 10+ 9 + 6 + 9 + 4. Over 20. That equals: 104 over 20 = 7.
So, the Standard Variance and Mean is: 7 for this problem.
Hope I helped!
- Debbie