Answer:
The second option
Step-by-step explanation:
The given system of equation is
x+2y=3
-x+y+z=2
y-2z=-3
The augment matrix is obtained by combining the coefficient matrix with the constant matrix to obtain;
![\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%260%26%7C3%5C%5C-1%261%261%26%7C2%5C%5C0%261%26-2%26%7C-3%5Cend%7Barray%7D%5Cright%5D)
Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.
The correct choice is the second option.
Answer:
Option d. PQ = YZ
Step-by-step explanation:
<u><em>The question in English is</em></u>
Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ
we know that
If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
so
we have that


so
Triangle PQR is congruent with Triangle YZX
That means
<em><u>Corresponding angles</u></em>



<u><em>Corresponding sides</em></u>

Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.
As more pure acid is added, the concentration of acid approaches 0.
Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is

, or about $3,916.67 (I'll round up to 3917 for simplicity).
Now, he gets paid twice a month. So each paycheck is half of $3917. 3917 x (1/2) = $1958.50.
So each paycheck should be $1958.50 (this is a rounded figure).