Answer:
x=30
Step-by-step explanation:
Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.
Hope this helped!
<span>Curtis
threw 15 darts at a dartboard. 40% of his darts hit the bull's-eye.
Let’s find out how many darts did not hit the bull's-eye.
=> 15 darts = 100%
=> 40% of 15 hits bull’s eye.
Now let’s solve:
=> 40% / 100% = .40
we need to get the 40% value of 15 to know how many darts was able to hit bull’s
eye.
=> 15 * .40 = 6 darts
Thus, out of 15, 6 of the darts hit bull’s eye,.</span>
Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>
The first attachment shows the coefficient matrix and its determinant.
__
<h3>solution</h3>
The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

This multiplication is shown in the second attachment. It tells us ...
![\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctextbf%7BX%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C4%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
Answer: 10 packets
Step-by-step explanation:
There is 4 quarts needed to make 1 gallon
20 quarts for 5 gallons
1 packet=2 quarts
10 packets=20 quarts