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Levart [38]
3 years ago
6

C

Mathematics
2 answers:
mario62 [17]3 years ago
6 0

Answer:

since the sum of interior angles of hexagon is 720 °

you add the known angles

ie 115 +90+145+160

you get 510

subtract it from 720

you get 210

divide 210 by 3

you get 70

angle cde is 140

ankoles [38]3 years ago
3 0

Answer:

∠ CDE = 140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let ∠ DEF be x then ∠ CDE = 2x

sum the interior angles and equate to 720

160 + 90 + 145 + 115 + 2x + x = 720 , that is

510 + 3x = 720 ( subtract 510 from both sides )

3x = 210 ( divide both sides by 3 )

x = 70

Then

∠ CDE = 2x = 2 × 70 = 140°

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What divisor is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. Ther
g100num [7]

One of the ways of dividing polynomials is by synthetic division

The divisor of the synthetic division is x + 5

<h3>How to determine the divisor of the division</h3>

From the question, we understand that:

Entry -5 is on the outside to the left of the shape

The entry represents the zero of the divisor.

Next, we set this entry to the variable (assume the variable is x)

So, we have:

x = -5

Add 5 to both sides

x + 5= 0

Hence, the divisor of the synthetic division is x + 5

Read more about synthetic division at:

brainly.com/question/24662212

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2 years ago
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gavmur [86]

Answer:

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Step-by-step explanation:

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3 years ago
The probability that a high school student in in the marching band is 0.47. The probability that a student plays a varsity sport
IrinaK [193]

The probability that a high school student in in the marching band is 0.47

so, P(M)=0.47

The probability that a student plays a varsity sport is 0.32

so, P(V)=0.32

the probability that a student is in the marching band and plays a varsity sport is 0.24

so, we get

P(M∩V)=0.24

a student plays a varsity sport if we know she is in the marching band

so,

P(V|M)=(P(V∩M))/(P(M))

now, we can plug values

and we get

P(V|M)=\frac{0.24}{0.47}

P(V|M)=0.51063

So,

the probability that a student plays a varsity sport if we know she is in the marching band is 0.51063......Answer

8 0
3 years ago
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The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviati
Stolb23 [73]

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

3 0
3 years ago
Someone please help me
Dovator [93]
<h3>Answer:  B) 2</h3>

=========================================================

Explanation:

Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.

Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.

You should have:

  • 5 gray rectangles, and no squares (of any color) on the left side
  • 10 black squares, no long rectangles (of any color), on the right side

From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.

This means the solution is 2.

-------------------------------------

If you're curious about the algebraic way to solve, then you could do this:

3x-4 = -2x+6

3x+2x = 6+4

5x = 10

x = 10/5

x = 2

This method doesn't require us to use the visual model.

5 0
3 years ago
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