Answer:
Step-by-step explanation:
Let's analyze each statement and classify them as always true, sometimes true, or never true based on the figure provided:
1. m<1+m<4=180:
This statement is always true. In the figure, angles 1 and 4 are vertical angles, which means they are congruent. Therefore, m<1 = m<4, and their sum is always equal to 180 degrees.
2. m<1+m<2+m<3=180:
This statement is never true. In the figure, angles 1, 2, and 3 do not form a straight line. Therefore, the sum of m<1, m<2, and m<3 cannot be equal to 180 degrees.
3. m<2+ m<4=180:
This statement is sometimes true. In the figure, angles 2 and 4 are adjacent angles, and their sum can be equal to 180 degrees if they form a straight line. However, if angles 2 and 4 do not form a straight line, their sum will be less than 180 degrees.
4. <2=<3:
This statement is never true. In the figure, angles 2 and 3 are not congruent. Therefore, <2 is not equal to <3.
5. <2=<4:
This statement is sometimes true. In the figure, angles 2 and 4 can be congruent if they are vertical angles. However, if they are not vertical angles, they will not be congruent.
6. m<3=m<4:
This statement is always true. In the figure, angles 3 and 4 are vertical angles, which means they are congruent. Therefore, m<3 = m<4.
To summarize:
- Statement 1 is always true.
- Statement 2 is never true.
- Statement 3 is sometimes true.
- Statement 4 is never true.
- Statement 5 is sometimes true.
- Statement 6 is always true.
Answer:
i think 8
Step-by-step explanation:
Answer:
You would move 10 units to the right from zero on the x-axis
Answer:
10 spaces to the right to get to 10 and up 8 to get to 8
The length of the line is approximately 5 people.
To find the length of the line given the arrival rate, service rate, and average waiting time, you can use the following formula:
Length of the line = (Arrival rate × Average waiting time) + (Arrival rate / Service rate)
First, convert the average waiting time from minutes to hours:
24 minutes = 24/60 = 0.4 hours
Now, plug in the given values into the formula:
Length of the line = (9 arrivals/hour × 0.4 hours) + (9 arrivals/hour / 14 services/hour)
Length of the line = (3.6 arrivals) + (0.6429 arrivals)
Length of the line ≈ 4.24 arrivals
Since you can't have a fraction of a person in the line, round up to the nearest whole number:
Length of the line ≈ 5 arrivals
So, the length of the line is approximately 5 people.
Learn more about "length ":
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Answer:
-22x-36
Step-by-step explanation:
-6 x 5x = -30x
-6 x 6 =-36
8x - 30x - 36
8x - 30x = - 22x
So, it's -22x - 36.
Answer:
-22 x- 36
Step-by-step explanation:
8x - 6(5x + 6)
-6× 5x= -30x
-6 × 6= -36
8x -30x - 36
-22x - 36