Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
Answer:
5. 5.8
6. 6
7. 6
Step-by-step explanation:
5. mean - add all values and divide by the number of values
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75
mean = 75/13 = 5.8
6. median - middle value of values written in ascending order.
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10
median = 6
7. mode - value that occurs most times
mode = 6
Answer:
6/11, 15/21, 9, 27/37, 31/54
Step-by-step explanation:
Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.
Answer:
x = 1, y = -1
Step-by-step explanation:
If we have the two equations:
and 
, we can look at which variable will be easiest to eliminate.
looks like it might be easy to get rid of, we just have to multiply by 2 and y is gone (as -6y + 6y = 0).
So let's multiply the equation by 2.
Now we can add these equations
------------------------
Dividing both sides by 5, we get 
.
Now we can substitute x into an equation to find y.
Hope this helped!
