Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x.
Therefore:
1. 118 + 90 + 99 = 307
360 - 307 = 53
2. 110 + 96 + 78 = 284
360 - 284 = 76
3. 48 + 118 + 97 = 263
360 - 263 = 97
4. 105 + 99 + 64 = 268
360 - 268 = 92
5. 103 + 63 + 113 = 279
360 - 279 = 81
6. 95 + 80 + 88 = 263
360 - 263 = 97
Answer:
9.28 is lowest
9.685 is highest
Step-by-step explanation:
Ah bg de cf
Step-by-step explanation:
i think thats how you do it becuse i did that
Ok so right now leave the x's alone. Now add/subtract the numbers without variables which would equal to 0 since -1+4 = 3 and 3-3 =0
now 7x+x =8x so 8x is answer
