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murzikaleks [220]
3 years ago
15

My teacher gave us the answers but we just need to show the work for solving the problems. Please help me

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

7

Step-by-step explanation:

16x + 22 = 134 ..... because if the two lines are parallel alternative exterior angles are congruent

16x = 134 - 22

16x = 112

\frac{16x}{16}  =  \frac{112}{16}

x = 7

hope it helps

for any question comment me ❤❤

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PLZ HELP QUICK WILL MARK BRAINLIEST
natima [27]

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

<em><u>Please mark brainliest this took me a while</u></em>

7 0
2 years ago
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p
Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0
3 years ago
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
3 years ago
A local restaurant is offering a special deal in which customers can receive one appetizer, one entree, and one dessert for a fi
Dmitriy789 [7]
There are105 different choices.
For 1 appetizer, there are 15 different combinations of entrees and desserts. 1 dessert has 5 entrees you can mix, and since there are 3 desserts, there are 15 choices. It goes the same for every appetizer until there is 7x15. 7Ax15choices equals 105 options.
The customer has 105 meal choices.
5 0
3 years ago
What is the value of the variable -38 = 2b + 25 - (-7b)
ddd [48]
The variable in this equation is b, therefore we have to calculate the value of b.

-38=2b+25-(-7b)
-38=2b+25+7b
2b+7b=-38-25
9b=-63
b=-63/9
b=-7

Answer: the value of the variable is b=-7

We can check it out this answer:
-38=2b+25-(-7b)
-38=2(-7)+25-(-7(-7))
-38=-14+25-49
-38=-38
4 0
3 years ago
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