Answer:
The first statement is incorrect. They have to be complementary.
Step-by-step explanation:
You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.
You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.
The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.
Answer:
C. 15²π
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Diameter: d = 2r
- Area of a Circle: A = πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 30 m
<u>Step 2: Find Area</u>
- Substitute [D]: 30 m = 2r
- Isolate <em>r</em>: 15 m = r
- Rewrite: r = 15 m
- Substitute [AC]: A = π(15 m)²
- Rearrange: A = 15²π
Mrs. Smith donated $20
The constant proportionality is $1 because no matter what, Mrs. smith will donate $1 for each mile. So if Sam were to only walk 1 mile, mrs. smith would donate $1. Or seen as a 1:1 proportion.
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
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Your expression can be simplified as follows:
_____
<em>Additional comment</em>
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
Consider division:
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
