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dusya [7]
3 years ago
14

The measure of two vertical angles are 6x - 22 and 4x + 2. Find x.

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
Vertical angles are congruent...they are equal....so set them equal to each other and solve for x

6x - 22 = 4x + 2
6x - 4x = 2 + 22
2x = 24
x = 24/2
x = 12 <==



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At an auditorium, 3 1/2 sections are filled with people watching a play. Exactly 3/5 of the people watching the play are parents
worty [1.4K]

Answer:

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given:

Total number of sections filled = 3¹/₂ = 7 / 2 sections

Number of fraction parents watching play = 3/5

Find:

Fraction[Total number of sections filled filled with parents]

Computation:

Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play

Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]

Fraction[Total number of sections filled filled with parents] = 21 / 10 sections

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

5 0
3 years ago
A family’s lunch bill is $10.19 before tax and tip. Using the percents shown for sales tax and gratuity, how much money should t
svp [43]

Answer:

The answer is 12.36

Step-by-step explanation:

I just did the assignment and guessed and got them wrong and it said this is the right answer so yeah.

You're welcome!! :D

7 0
3 years ago
Read 2 more answers
miguel is making an obstacle course for feild day.at the end of every sixth of the course is a tire.at the end of every third of
Bogdan [553]

I hope this helped! Good luck

8 0
3 years ago
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
galina1969 [7]
If 16 pages equal to 4%, how many pages will equal to 100%?

4/100 = 16/x
4x=1600
X= 400

So total pages should be 400.
5 0
2 years ago
Some of the students three scores is 231. If the first is 20 points more than the second, and the sum of the first two is 6 more
Aleks [24]

Answer:

The first score is 109

Step-by-step explanation:

I am assuming that in the first sentence of the question, you meant:

Sum of the students three scores is 231...

First, let the scores of the first second and third student be a, b and c respectively. We are told that:

a + b + c = 231 . . . . . . . .(1)         (sum of students three scores is 231)

a = b + 20 . . . . . . . . . . . (2)        (the first is 20 points more than the second)

a + b = 6c . . . . . . . . . . . .(3)        (sum of the first two is 6 more times the third)

required, find a.

substituting the value of (a + b) in equation (3) into equation (1), we will have the following:

since a + b = 6c . . . (3)

a + b + c = 231 . . . . . (1), becomes,

(a + b) + c = 231

(6c)  + c = 231

7c = 231 (divide both sides by 7)

c = 231 ÷ 7 = 33

∴ c = 33

Next, from equation (2), we know that a = b + 20; this can also be written as:

a - 20 = b

∴ b = a - 20 . . . . . . . (4)

Finally, putting the value of b in equation (4) and the value of c calculated above into equation 1, ( a + b + c = 231), we have the following:

a + (a - 20) + 33 = 231

(a + a) - 20 + 33 = 231

2a + 13 = 231

2a = 231 - 13 = 218

a = 218 ÷ 2 = 109

∴ a = 109

we can also calculate for 'b' by substituting for the value of 'a' in equation 4

b = a - 20 = 109 - 20 = 89.

and to test if the values of a, b and c are correct:

a + b + c = 231

109 + 89 + 33 = 231

4 0
3 years ago
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