Answer:
C = 87.92 mm
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Circumference Formula: C = πd
- <em>C</em> is circumference
- <em>d</em> is diameter
Step-by-step explanation:
<u>Step 1: Define</u>
Diameter <em>d</em> = 28 mm
<u>Step 2: Solve</u>
- Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
- [Circumference] Multiply: C = 87.92 mm
X< -2 means that x must be smaller than -2, so something like -3, -4, -5, etc
The only solution set that fits this is A.
Answers:
2x - 6y = 8 -> x = 4 + 3y
-3x + 9y = 12 -> x = -4 + 3y
The median of the stem-and-leaf plot is 23
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.