First angle= x+10
Second angle = x
Third angle = x+x+10 or 2x+10
X+10+x+2x +10=180
4x+20=180
Subtract 20 from both sides
4x=160
Divide both sides by 4
X=40
First angle =50
Second angle=40
Third angle =90
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Answer:
D. 105 ft²
Step-by-step explanation:
The total surface area is the sum of the base area and the triangular face areas.
Area of base:
A = s²
A = (7 ft)² = 49 ft²
Area of 4 triangles:
A = 4(1/2)bh
A = 2(7 ft)(4 ft) = 56 ft²
Total surface area:
base area + triangle area = 49 ft² +56 ft² = 105 ft²
You have 2 apples, get 3 more, and then lose 2 of them.
So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.
In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.
We now know that you are left with
3 apples.
The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
- The percentage of smokers in 2014 was 16.7%, hence the initial value is
- The percentage is decreasing by 5.6% each year, hence the slope is .
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
Answer:
(a) The average grade point is 2.5.
(b) The relative frequency table is show below.
(c) The mean of the relative frequency distribution is 0.3333.
Step-by-step explanation:
The given data set is
4, 4, 4, 3, 3, 3, 1, 1, 1, 1
(a)
The average grade point is
Therefore the average grade point is 2.5.
(b)
The relative frequency table is show below:
x f Relative frequency
4 3
3 3
1 4
(c)
Mean of the relative frequency distribution is
Therefore the mean of the relative frequency distribution is 0.3333.