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skad [1K]
3 years ago
10

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
kap26 [50]3 years ago
5 0
The term "supplementary" means that the two angles add up to 180°, which means we can write an equation:
17x + x = 180
18x = 180
÷ 18
x = 10
And now you can multiply 10 by 17, because it is 17 times the angle, to get 170° and 10° as your answer.

I hope this helps!
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Three consecutive odd intergers have a sum of 27. find the integers
Misha Larkins [42]
Solve for x:
x + (x + 2) + (x + 4) = 27
3x + 6 = 27
3x = 27 - 6
3x = 21
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x = 7
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x + (x + 2) + (x + 4) = 27
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The integers are 7, 9 , 11
6 0
3 years ago
A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher a
erica [24]

Answer:

z=-1.591

Step-by-step explanation:

Null Hypotheses,

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According to this informaton, we defined that

\alpha=0.05

z_c=1.64 (critical value)

So our Rejection region is R={z:z>1.64}

z=\frac{\bar{p}-p_0}{\sqrt{p_0(1-p_0)/n}} = \frac{0.755-0.8}{\sqrt{0.8(1-0.8)/200}}=-1.591

Not rejection.

6 0
3 years ago
At 1:30 p.m., Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 miles per hour. Ten minutes later,
Nadya [2.5K]

Answer: she would catch up with Tom in 1 hour.

Step-by-step explanation:

Let t represent the time it will take for Mary to catch up with Tom.

Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.

Distance = speed × time

Distance travelled by Tom in t hours is

25 × t = 25t

Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour

Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in

(t - 10/60) hours is

30(t - 10/60)

= 30t - 5

By the time she catches up with Tom, they would have covered the same distance. It means that

25t = 30t - 5

30t - 25t = 5

5t = 5

t = 5/5 = 1 hour

7 0
3 years ago
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igor_vitrenko [27]

Answer:

3^(n+1) - 3^n / 3^(n-1)​ = 6

7 0
2 years ago
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WINSTONCH [101]
It can only become a whole number when its over .99 such as 1.00 is a whole number and 7.24 is also a hole get it
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