Answer: a goes up 9 and b up 5 and c up 12
Step-by-step explanation:
a goes up 9 and b up 5 and c up 12 good luck
Answer:
A. 110
Step-by-step explanation:
Angles 4 and 6 are supplementary so if we add them together they will equal 180.
(5a + 10)° + (3a + 10)° = 180°
Simplify a bit to get 8a + 20 = 180
and 8a = 160.
a = 20. Now sub that value of a into the expression for angle 4:
5a + 10 --> 5(20) + 10 = 110°
Answer:
See Below
Step-by-step explanation:
A non-homogeneous equation of the form Ax=b always has a solution IF:
The column space of Matrix A has equal "dimensions" and "column length".
Now,
Given, 12 equations and 13 unknown, so Matrix A can be:
Matrix A = 12 x 13
Hence, the column length = 12
Each column here is a vector in space (vector space).
Now, we essentially need to figure out if the columns span the vector space of .
The rank theorem is:
n is 13 so,
Hence,
Rank A = 12
Hence the dimension is 12 and columns span this.
Thus,
Thus the system always has a solution.
If we need 2 pounds of apples to make 5 apple pies, then we need 8 apples to make 20 apple pies. It's because:
20 apples / 5 apple pies = 4
4 * 2 pounds = 8 pounds
Hope this helps!
Answer:
first: 4/9 second: 5/9
Step-by-step explanation: