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3 years ago

Pleasseeee help I'll give you brainlest answer

Mathematics

1 answer:

Greeley [361]3 years ago

5 0

Answer:

The value of x is 10

Step-by-step explanation:

The measure of the exterior angle at one vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex.

In ΔNOP

∵ ∠OPQ is an exterior angle of the triangle at vertex P

∵ ∠PNO and ∠NOP are the opposite interior angles of vertex P

→ By using the rule above

∴ m∠OPQ = m∠PNO + m∠NOP

∵ m∠OPQ = (6x - 15)°

∵ m∠PNO = (2x + 18)°

∵ m∠NOP = (2x - 13)°

→ Substitute them in the equation above

∴ 6x - 15 = 2x + 18 + 2x - 13

→ Add the like terms in the right side

∵ 6x - 15 = (2x + 2x) + (18 - 13)

∴ 6x - 15 = 4x + 5

→ Subtract 4x from both sides

∵ 6x - 4x - 15 = 4x - 4x + 5

∴ 2x - 15 = 5

→ Add 15 to both sides

∵ 2x - 15 + 15 = 5 + 15

∴ 2x = 20

→ Divide both sides by 2 to find x

∴ x = 10

∴ The value of x is 10

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Neko [114]

Answer:

the answer would be 5

Step-by-step explanation:

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2 years ago

A score that is three standard deviations above the mean would have a z score of

tia_tia [17]

The value of z-score for a score that is three standard deviations above the mean is 3.

In this question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Let x be the score

let μ be the mean and

let σ be the standard deviations

Now, x = μ + 3σ

The formula of z-score is

$z_{score} = \frac{x-\mu}{\sigma}$

⇒ $z_{score} = \frac{\mu + 3\sigma -\mu}{\sigma}$

⇒ $z_{score} = \frac{ 3\sigma }{\sigma}$

⇒ $z_{score} = 3$

Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.

Learn more about z-score here

brainly.com/question/13448290

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2 years ago

The radius r and height h of a right circular cone are both increasing at a constant rate of 2 cm/h. At what rate in centimeters

Elden [556K]

Answer:

94.2

Step-by-step explanation:

i honestly dont know if this answer is right but i am currently takeing classes in math about Geometry. We was learning about Word problems, that had to do with volume, Area, and perimeter, and learned what radius is, etc..

So i thought you take the formula it gives you and use. Since Pie means 3.14 you use that in the formula. V= 1×3.14×2×15 = 94.2
you would multiply everything together because every number is close together.
the height is 15 cm, thats how you get 15 at the end.
next step is to solve the equation in your calculator. and it gives you that number. = 94.2

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3 years ago

A swimming pool in the shape of a rectangular prism is 10 feet long, 20 feet wide, and 5 feet deep. How much water could the swi

sasho [114]

Answer:

1,000 units^3 of water

Step-by-step explanation:

20•10•5 =1,000

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3 years ago

At wet pets, a starter tree aquarium kit cost $15 plus $.60 per fish. At grips and frills, the same kit is $13 plus $.80 per fis

Katena32 [7]

Answer:

The answer to your question is below

Step-by-step explanation:

Write an equation for the cost of fish at each fish store.

a) Wet pets

We must consider the initial price and the cost of each fish.

total cost = C

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cost of each fish = $0.60

cost of one fish = f

C = 15 + 0.60f

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C = 15 + 0.60(4)

C = 15 + 2.4

C = $ 17.4

b) Grips and Frills

total cost = C

kit cost = $13

cost per fish = $0.80

cost of one fish = f

Equation

C = 13 + 0.8f

5 0

3 years ago