This water tank is made from a cylinder cone what is the volume of the tank<br><br> HELP PLEASE

13. If l is parallel to m, find the values of x and y.

Delicious77 [7]

Answer: 14. x = 16; y = 23

15. x = 9; y = 13

Step-by-step explanation:

14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)

4x + 4 = 7x - 44

Collect like terms

4x - 7x = -4 - 44

-3x = -48

Divide both sides by -3

x = -48/-3

x = 16

39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)

39 + 8y - 43 = 180

Add like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23

15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)

15x - 26 = 12x + 1

Collect like terms

15x - 12x = 26 + 1

3x = 27

Divide both sides by 3

x = 27/3

x = 9

28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)

Plug in the value of x

28 + 12(9) + 1 + 4y - 9 = 180

28 + 108 + 1 + 4y - 9 = 180

Add like terms

128 + 4y = 180

Subtract 128 from each side of the equation

4y = 180 - 128

4y = 52

Divide both sides by 4

y = 52/4

y = 13

Both answer and explantion.

6 0

2 years ago

If 4x- 7 = 2x, then 2x = ?

lawyer [7]

If $4x-7=2x$ , then $2x=7$ .

Hope this helps.

6 0

2 years ago

Read 2 more answers

16 factory workers made 40 pieces in a certain amount of time.

qwelly [4]

a) The quantities vary directly

b) The constant of variation is 2.5

Step-by-step explanation:

Lets us revise the direct and inverse variation

If y varies x directly, then y = kx, that means the ratio between them is constant ( $\frac{y}{x}=k$ ) , they increased together and decreased together, k is the constant of variation
If y varies x inversely, then yx = k, that means when x increased y must be decrease ( $y=\frac{k}{x}$ ) k is the constant of variation

∵ 16 factory workers made 40 pieces in a certain amount of time

- If the number of worker increased, then the number of pieces

increased in the same certain time, if the number of worker

decreased, then the number of pieces also decrease in the

same certain time

∴ The the number of workers and the number of pieces produce

vary directly

∴ Number of pieces produced = k × number of worker

a) The quantities vary directly

∵ The number of worker = 16

∵ The number of pieces produced = 40

- Substitute these values in the equation of variation above

∴ 40 = k × 16

- Divide both sides by 16

∴ k = 2.5

b) The constant of variation is 2.5

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

3 0

3 years ago

Which expression represent the distance between the point graphed below

agasfer [191]

The answer is A because when you plug in the points into the distance formula, you will get square root of 17 squared plus 17 squared. Hope this helps!

5 0

2 years ago

John bought 3 pineapples and 2 watermelons for $8.50. Sue bought 2 pineapples and 4 watermelons for $13.00. Write and show a sys

AleksAgata [21]

As per your question, total cost of watermelon should end with either 5(for odd quantity) or 0(for even quantity).

If the quantity of watermelon is odd, then the total cost value of pineapple should end with 3 and this is not possible when the cost of pineapple is ₹7.

So let's come to conclusion that the count(quantity) of watermelon should be any one of 0, 2, 4, 6.

If count of watermelon is 6: It will cost ₹30 and for remaining ₹8, we can buy 1 pineapple but still ₹1 will not be utilised. So 1 pineapple is not possible

If count of watermelon is 4: It will cost ₹20 and for remaining ₹18, we can buy 2 pineapple with ₹4 not being utilised. So 2 pineapple is also not possible.

If count of watermelon is 2: It will cost ₹10 and for remaining ₹28, we can buy 4 pineapple with all amount being utilised. We can buy 4 pineapple along with with 2 watermelon for ₹38.

If count of watermelon is 0: It will cost you ₹0 and for remaining ₹38, we can buy 5 pineapple with ₹3 being not utilised. So 5 pineapple is also not possible.

So the answer is 4 pineapple.

5 0

3 years ago

This water tank is made from a cylinder cone what is the volume of the tank HELP PLEASE