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#8293
Let O be the center of a circle. If <span>the measure of arc RS is 84 degrees, then m∠SOR=84^{0}. The triangle SOR is isoscales (because SO=OR as radii), so m∠RSO=m∠ORS=(180^{0}-84^{0}):2=48^{0}.
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Line RU is tangent to the circle in point R, this means that m∠ORU=90^{0}.
Consider the triangle SRU. m∠RSU=30^{0} and m∠SRU=48^{0}+90^{0}=138^{0}, then m∠RUS=180^{0}-30^{0}-138^{0}=12^{0}.
ANSWER: Correct choice B - 12^{0}.
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Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Multiple Roots
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

<u>Algebra II</u>
- Imaginary Root <em>i</em> = √-1
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2x² + x + 67 = 0
<em>a</em> = 2
<em>b</em> = 1
<em>c</em> = 67
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:

- Multiply:

- [√Radical] Evaluate exponents:

- [√Radical] Multiply:

- [√Radical] Subtract:

- [√Radical] Simplify:

Answer:
a) 5,000 b) 3,600
Step-by-step explanation:
a) there are four different slots, and for the first three slots there are a possibility for 10 different numbers and in the last slot there can only be 5 different numbers. So you get 10 x 10 x 10 x 5 which leaves you with 5,000 possibilities
b) the same thing as above but know you have fewer numbers 10 x 9 x 8 x5 which gives you 3,600 possibilities