If angles are supplementary, then one of the angles is an obtuse angle. always sometimes never
2 answers:
Answer:
B. Sometimes.
Step-by-step explanation:
We have been given a statement. We are asked to choose the option that is true for our given statement.
Statement:
If angles are supplementary, then one of the angles is an obtuse angle.
A. Always.
We know that two 90 degree angles are supplementary to each other. We know that a right triangle is not an obtuse angle, therefore, option A is not a correct choice.
B. Sometimes.
Since supplementary angles are not necessarily right angles always, one angle could be obtuse and one could be acute, therefore, option B is the correct choice.
C. Never.
We know that when an obtuse angle and an acute angle add up-to 180 degrees, they are supplementary, ex- .
Since 180 degrees is an obtuse angle, therefore, option C is not a correct choice.
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9514 1404 393
Answer:
A. 3×3
B. [0, 1, 5]
C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.
Step-by-step explanation:
A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.
This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...
A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)
Matrix A is 3×3.
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B. The second row of A represents the second equation:
The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.
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C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)