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AnnZ [28]
3 years ago
13

In a​ triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is

80 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180degrees to find the measure of each angle.
Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

1st Angle - 60

2nd Angle - 20

3rd Angle - 100

Step-by-step explanation:

Not sure if it really needs an explanation. 60 is 3 times as much as 20, and 100 is 80 more than 20. All together, it makes 180 degrees.

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Im dying bro help The vertices of a quadrilateral are (2, 3), (3, 8), (7, 5), and (6, 2). Draw the quadrilateral in the coordina
Solnce55 [7]
Okay to the first number in the ordered pair is the x and the second is the y. So (x,y) when you put a dot on the coordinate plane such as (2,3), you have to go the the horizontal line which is x and go over right 2 spaces(depending on how many numbers is one space) then go up 3. Do that same thing for each of the order pairs. Eventually you will have 4 dots. Connect those dots then you will have the quadrilateral. I hope this helps you!
7 0
3 years ago
An 8-foot by 5-foot section of wall is to be covered by square tiles that measure 4 inches on each side. If the tiles are not cu
ExtremeBDS [4]

Answer:

30 tiles

Step-by-step explanation:

SO we need to find the area of the wall so we do

8 feet * 5 feet = 40 feet squared

then we find that area in inches

40*12=480

Now we find the area of the tiles

4*4=16

So now we divide to find how many tiles are needed

480/16=30

Our answer is 30

6 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
Can y’all plz help me ignore the writing part on the side of it plz show me the steps or tell me
Fiesta28 [93]
Hello.

The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.

The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.

Your answer is: "C.)"

I hope this helps!
6 0
3 years ago
What is the answer to this problem?
leonid [27]

Answer:

\frac{7}{9}

Step-by-step explanation:

If you add a number that is negative, you are basically subtracting it.

This means that

\frac{8}{9}+\left(-\frac{1}{9}\right)=\frac{8}{9}-\frac{1}{9}

Since they both have the same denominator, you can easily subtract the fractions: \frac{8-1}{9}=\frac{7}{9}

5 0
3 years ago
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