9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
<u>Using ∆ABD</u>
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆BCD</u>
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆ABC</u>
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
From the given information; Let the unknown different positive integers be (a, b, c and d).
An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.
Suppose we make an assumption that (a) should be the greatest value of this integer.
Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.
Therefore, the average of this integers = 9
Mathematically;
![\mathbf{\dfrac{(a+b+c+d)}{4} =9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%28a%2Bb%2Bc%2Bd%29%7D%7B4%7D%20%3D9%7D)
![\mathbf{\dfrac{(a+1+2+3)}{4} =9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%28a%2B1%2B2%2B3%29%7D%7B4%7D%20%3D9%7D)
![\mathbf{\dfrac{(6+a)}{4} =9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%286%2Ba%29%7D%7B4%7D%20%3D9%7D)
By cross multiplying;
6+a = 9 × 4
6+a = 36
a = 36 - 6
a = 30
Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.
Learn more about integers here:
brainly.com/question/15276410?referrer=searchResults
The system of inequalities for the specific graph is
1. (one on top) y ≤ 1/2x + 6
2. (one on bottom) y > 1/2x -2
Hope this helped! :D
I can't really explain it
see the picture