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Mila [183]
3 years ago
10

The measure of an angle and its supplement differ by 39 degrees. what is the measure of each angle?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0
X+ (x+39)=180
2x+39=180
2x=141
x=70.5

Final answer: 70.5, 109.5
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Explain why each of the following studies may fail to yield the desired information. (a) To determine the average annual income
harkovskaia [24]

Answer:

the following studies may fail to yield the desired information because

(a) i. some of the students might have died before 2015.

ii. Some people might lie based on the questionnaire sent.

So based on the two factors above the desired information might be altered or incorrect.

(b) i. individuals may be unwilling to provide accurate answers during the survey.

Step-by-step explanation:

Information may be altered when individuals are asked about their income or spending in other to show off to friends or the person asking the questions.

8 0
4 years ago
Roberto has 2 books with 319 pages each and 3 books with 264 pages.How many pages are all in together.
34kurt
2(319) +3(264) = 1430

There are 1,430 pages. 
4 0
3 years ago
Read 2 more answers
The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

6 0
3 years ago
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3
Mademuasel [1]

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

8 0
3 years ago
That is weird but here it is again
borishaifa [10]

Answer: 3.6 feet per year

Pick any column and divide the feet over the years

eg: 7.2/2 = 3.6 (column 1)

You can think of it as the ratio

7.2 feet: 2 years

and then divide both sides by 2 to get "1 year" on the right side

7.2 feet: 2 years

7.2/2 feet: 2/2 years

3.6 feet: 1 year

3 0
3 years ago
Read 2 more answers
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