An acute angle has a measure between 0 degrees and 90 degrees.
An obtuse angle has a measure between 90 degrees and 180 degrees.
To solve this problem, we first have to convert 5 1/2 into an improper fraction. To do this, we multiply the unit (5) times the denominator (2) and then add the numerator (1) to the product, while still keeping the same denominator.
(5 * 2) + 1 = 10 + 1 = 11/2
Now, this makes our expression: 11/2 - 2/3
Next, we have to find a common denominator for 2 and 3 by finding their shared LCM, or least common multiple. In this case, the LCM is 6. This means that we are going to convert both of the fractions in the expression into fractions with the denominator 6, so that we can easily compute the subtraction.
11 * 3 / 2 * 3 - 2 * 2 / 3 * 2
33/6 - 4/6
Now, we can simply subtract the numerators to find our final answer.
29/6
Your final answer is 29/6.
Hope this helps!
Answer:
(0, 3)
Step-by-step explanation:
1. Find the slope:

2. Calculate the y-intercept using a given point:
(-8, -3)
-3 =
+ b
-3 = -6 + b
-3+6 = -6+6 + b
3 = b
3. Write in slope intercept form:

Therefore, the y-intercept is 3.
The graph for this table is shown below.
hope this helps :)
Answer:
1. Statistics
2. Sample
3. Population
4. Variable
5. Data
6. Parameter
Step-by-step explanation:
1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50
2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50
3. Population is the group of people from which the sample was taken - All people who drive on Highway 50
4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway
5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove
6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution