Answer:
70
Step-by-step explanation:
By exterior angle theorem:
![(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70](https://tex.z-dn.net/?f=%282x%20%2B%2012%29%20%5Cdegree%20%3D%20112%20%5Cdegree%20%2B%20180%20%5Cdegree%20-%202x%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282x%20%2B%2012%29%20%5Cdegree%20%3D%20292%20%5Cdegree%20-%202x%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282x%20%2B%2012%29%20%5Cdegree%20%20%2B%202x%20%5Cdegree%20%3D%20292%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282x%20%2B%2012%20%2B%202x%29%20%5Cdegree%20%3D%20292%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%284x%20%2B%2012%29%20%5Cdegree%20%3D%20292%20%5Cdegree%20%5C%5C%20%20%5C%5C%204x%20%2B%2012%20%20%3D%20292%20%20%5C%5C%20%20%5C%5C%204x%20%3D%20292%20-%2012%20%5C%5C%20%20%5C%5C%204x%20%3D%20280%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B280%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2070)
the negative - positive
- 24/-4
24/4
6
Answer:
x = 16
Step-by-step explanation:
Since the numbers are in ascending order, x is the number with the highest value here.
From the arrangement, we can see that the median (the middle number) is the third number which is 9
The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median
We have this as;
(1 + 9 + 9 + 10 + x)/5 = 9
29 + x = 5(9)
29 + x = 45
x = 45-29
x = 16
GCF of 32 and 48 = 16
32 - 48
16(2 - 3) <==