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Answer:
(3, -6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
This expression cannot be simplified any further.
Answer:
6x ≥ -24
x ≥ -4
Step-by-step explanation:
the inequality of Six times a number x is at least −24
6x ≥ -24
Divide each side by 6
6x/6 ≥ -24/6
x ≥ -4
Answer:
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Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
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- So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.
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We know that,
- The sum of all angles of a triangle is 180°
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So, According to the question :
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Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.