Answer:
40°
Step-by-step explanation:
It's half the angle at the centre
½×80 = 40
Answer:
-8n + 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
A = -3n + 2
B = 5n - 7
A - B
<u>Step 2: Simplify</u>
- Substitute: -3n + 2 - (5n - 7)
- Distribute negative: -3n + 2 - 5n + 7
- Combine like terms (n): -8n + 2 + 7
- Combine like terms (Z): -8n + 9
<u>Answer:
</u>
The probability of rolling a number greater than 4 or less than 3 is 
<u>Solution:
</u>
In the given question there are two events as follows:
(a) Rolling a number greater than 4 i.e. A = {5,6}
(b) Rolling a number less than 3 i.e. B = {1,2}
Since a die has 6 numbers,
P(A) = 
where P(A) is the probability of occurrence of event A and P(B) =
Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.
P(A∪B) = P(A) + P(B)
Therefore the probability of getting a number greater than 4 or less than 3 is
<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>
0.2778 this is the answer for your question
