In quadrilateral ABCD, angle A is 72, angle B is 94, and angle C is 113. What is angle D

43

if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.

There are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.

We have to find the number of sides in a polygon.

The sum of its interior angle measures is 7380°

The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°

where n is the number of sides of the polygon

7380 = (n-2)×180

We have to solve for n

Divide both sides by 180

7380/180=n-2

41=n-2

Add 2 on both sides

43 = n

Hence, there are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

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Answer:

x = 1 and y = -1

Step-by-step explanation:

Answer:

r = 10.5 m

Step-by-step explanation:

Given that,

A bicycle wheel turns 15 times in covering a distance of 66 m.

We need to find the radius of the wheel.

The distance that a wheel travels in one rotation is simply the circumference of the circle.

[tex]2\pi r=66[/tex]

Where

r is the radius of the wheel

Put all the values,

[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]

So, the radius of the wheel is equal to 10.5 m.  

1) 16

2) -6 -(-17) = -6 +17= 11

3) 19 -(-2) = 19 + 2 = 21

4) -13 + 20 = 7

5) -22

6) -9

7) -19

8) -6

9) -17

10) -20

11) -15 -(-10) = -15 + 10 = -5

12) -1

13) 30

14) 11 -(-9) = 11 + 9 = 20

15) 16

16) -21

Answer:

$32

Step-by-step explanation:

a dollar is 100 cents. so simply sake away the two zeros at the end.

Answer:

$32

Step-by-step explanation:

the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32

Answer:

1. 1/6 2. 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 42.5%, 7.5%, Independent and Dependent

Step-by-step explanation:

A: The chance that both FDA will approve and double the value is 50%*85% or 0.50*0.85, or 85*1/2 which is 42.5%

B: 50%*(100-85)%=50%*15%=15%*1/2=7.5%

C: FDA approval is independent because nothing can effect it. However, the stock doubling is dependent, because if FDA does not approve, it will definitely not double.

Answer:

See explanation

Step-by-step explanation:

A: 50% * 85% = 42.5%

B: 50% * 15% = 7.5%

C: Dependent, because the stock price has a 0% chance of doubling if the GDA does not approve of the medicine.

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

The question is incomplete. The complete question is :

Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.

Determine the following. Round your answers to three decimal places (e.g. 98.765).

(a). [tex]$P(2.90 < X < 3.10) =$[/tex]

(b). [tex]$P(7.60 < X < 7.80) =$[/tex]

(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =

Solution :

We have

[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex]  and

[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]

a). The required probability is

   [tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]

  = P(-2.5 < Z < 2.5)  =  P(Z < 2.5) - P(Z < -2.5)

  = P(Z < 2.5) - [1-P(Z < 2.5)]

 = 2P(Z < 2.5) - 1

 = 2(0.99379) - 1

 = 0.98758

 ≈ 0.988

b). The required probability is

   [tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]

  = P(-1.25 < Z < 1.25)  =  P(Z < 1.25) - P(Z < -1.25)

  = P(Z < 1.25) - [1-P(Z < 1.25)]

 = 2P(Z < 1.25) - 1

 = 2(0.89435) - 1

 = 0.7887

 ≈ 0.789

c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :

P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)

     = (0.98758)(0.7887)

     = 0.77890

      ≈ 0.779

Hi, you've asked an incomplete question. I provided some suggestions to help.

Explanation:

First, note that the term workplace refers to the location a person does his or her work. In modern times this location could be physical or virtual (a virtual workplace).

Thus, kindly note the kind of workplace you have in mind, then you could find resources that contain the sought-after applications to the workplace.

Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.

A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.

Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.

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Answer:

-27

Step-by-step explanation:

first add 22 to both sides

-x/9=3

then isolate x by multiplying by 9

-x=27

x can't be negative so multiply by -1

x=-27

Answer:

x = -27

Step-by-step explanation:

Solve the equation by inverse operations and you get x = - 27

Answer:

20

Step-by-step explanation:

35-55?

im not sure sorry if im wrong

Answer:

c, cause yeah

Answer:

C: a quadrilateral with exactly one pair of parallel sides

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

2 1/3 - 1 4/5

= 7/3 - 9/5

= 35/15 - 27/15

= 8/15

ANSWER: 8/15

7 3/4 - 6 4/5

= 31/4 - 34/5

= 155/20 - 136/20

= 19/20

ANSWER: 19/20 ft. farther

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain of given function is set of real numbers

Step-by-step explanation:

MULTIPLY length x width x height

Answer:

it will take 4 years

Step-by-step explanation:

tree one: 8+1= 9,10,11,12

tree two: 10+.5= 10.5,11,11.5,12

Answer:

the answer is 3x minus 2 because when u combine the x terms it's 3x and 2 doesn't have any other like term

Answer:

26 points

Step-by-step explanation:

Find the mean number of points by adding up all of the points and dividing it by 5

(21 + 25 + 36 + 16 + 32) / 5

130 / 5

= 26

So, the mean number of points is 26 points

Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?

To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.

So, Mean = [tex] \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} [/tex]

Mean = [tex] \bf \frac{130}{5} [/tex]

Mean = [tex] \bf 26 [/tex]