Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
<u> Result</u>
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
<h2><u>x = 145</u></h2>
Answer:
The reduced row-echelon form is
The solutions to the system of equations are:
Step-by-step explanation:
To solve this system of linear equations,
you must:
Step 1: Transform the augmented matrix to the reduced row echelon form.
In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.
This is the augmented matrix that represents the system.
It can be transformed by a sequence of elementary row operations to the matrix.
There are three kinds of elementary matrix operations.
Using elementary matrix operations, we get that
Row Operation 1: add -2 times the 1st row to the 2nd row
Row Operation 2: add 1 times the 1st row to the 3rd row
Row Operation 3: multiply the 2nd row by -1/3
Row Operation 4: add -2 times the 2nd row to the 3rd row
Row Operation 5: add 4 times the 2nd row to the 1st row
Step 2: Interpret the reduced row echelon form
The reduced row echelon form of the augmented matrix is
which corresponds to the system
The system has infinitely many solutions.
