Answer:
Correct option is c) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded
<em>So , the value of x is greater then -6 . So , Correct option is c .A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.</em>
Step-by-step explanation:
Answer:
The Han dynasty last was, 215 years
Step-by-step explanation:
Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.
To find how many years did the dynasty last.
B.C. represents Before Christ
A.D. represents After Death
To find the difference between two dates,
- When the endings are the same you subtract
- When they are different you add
You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.
Just add these 206 and 9 we get;
years
Therefore, 215 years did the Han dynasty last.
Answer:
0.15 for each message
Step-by-step explanation:
The charge per message can be found by dividing the charge by the number of messages. Using the first line of the table, we get ...
charge per message = (total charge)/(number of messages) = $38.40/256
charge per message = $0.15
Alyssa is charged 0.15 for each text message.
_____
We can check other lines of the table to see if charges are really proportional:
$26.55/177 = $0.15
$31.35/209 = $0.15
Answer:
0.60
Step-by-step explanation:
Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk
Firstly, let’s calculate the probability of being a poor risk.
From the given data the number of poor risks = 14229-7362-1190 = 5677
So the probability of being a poor risk = 5677/14229 = 0.399
Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠1 and ∠2 are supplementary
Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180°
Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3
Transitive Property
4. m∠2 = m∠3
Subtraction Property of Equality
5. ∠2 ≅ ∠3
Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.