Two angles are supplementary if their measures sum 180°.
Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.
But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.
Answer:
-4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + 5y = -12
-2x + 3y = -16
<u>Step 2: Rewrite Systems</u>
-2x + 3y = -16
- Multiply everything by 2: -4x + 6y = -32
<u>Step 3: Redefine Systems</u>
4x + 5y = -12
-4x + 6y = -32
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 11y = -44
- Divide 17 on both sides: y = -4
Answer:
0.625
Step-by-step explanation:
Given :
Ambell company uses or procures batteries from two manufacturers.
The life of a battery in critical tool is at = 32 hours
Ambell uses 70% of its batteries from manufacturer 1 and out of that 90% batteries lasts for about 40 hours.
Similarly, 75% of the batteries procured from the manufacturer 2 lasts for about 40 hours.
Therefore, the probability that a battery is form manufacturer 1 is :
= 0.625
Answer:
Contradictrion
Step-by-step explanation:
First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:
x + 65 -x =289
Then combine like terms.
65 = 289
There are no values of x that make the equation true. The input is a contradiction.
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