D
Translations, Reflections, and Rotations are transformations that result in a congruent figure.
Dilations on the other hand don't. They change the size of the figure, which means the transformed figure is not congruent to the original.
Answer:
Step-by-step explanation:
Use cosine:
We have
and the angle 17°.
Substitute:
<em>convert the decimal to the fraction</em>
<em>cross multiply</em>
<em>divide both sides by 9563</em>
Answer: B. 105 mph
Step-by-step explanation:
Answer:
6 =t
Step-by-step explanation:
-9 (t – 2) = 4(t – 15)
Distribute
-9t +18 = 4t -60
Add 9t to each side
-9t +18+9t = 4t+9t -60
18 = 13t -60
Add 60 to each side
18+60 = 13t-60+60
78 = 13t
Divide each side by 13
78/13 = 13t/13
6 =t
Answer:
x = 15.7945
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>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 33°
Opposite Leg = <em>x</em>
Hypotenuse = 29
<u>Step 2: Find Angle</u>
- Substitute in variables [sine]: sin33° = x/29
- [Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = x
- Rewrite: x = 29sin33°
- Evaluate: x = 15.7945
