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The sum of the interior angle measures of the polygon is 900 degrees

From the image shown, we can see that the polygon has 7 sides.

A polygon with seven sides is called a heptagon

It is important to note that the number of triangles in a heptagon is 5.

Also, the sum of angles in a triangle is 180 degrees.

Now, the formula for calculating the sum of interior angles of a polygon is expressed as;

= (n - 2) 180

Where; n is the number of sides of the polygon

Substitute the value

= (7-2)180

Subtract the value

= 5(180)

= 900 degrees

Hence, the sum is 900 degrees

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Answer:

7 cars

11 bikes

Step-by-step explanation:

18 cars would have 72 tires. This is 22 more tires than necessary. If we add a bike, we lose four tires (from the car) and add two (from the bike). This means we lose two tires. 22/2 is 11 so it would be 11 bikes and 7 cars.

11 bikes = 22 tires

7 cars = 28 tires

22+28=50 tires

the is answer is probably c

the answer makes sense

Answer:

-2

Step-by-step explanation:

Slope intercept form is

y = mx + b

Where m is the slope

Parallel lines have the same slope

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

y = -2x + 5

is in slope intercept form

the slope, m = -2

The slope of the parallel ine will be the same

m = -2

Hello there!

Parallel lines have the same slope.

So if one line has a slope of -2, then the slope of the line parallel to it is -2 as well.

Hope it helps! :)

If you have any query, please feel free to ask me! :)

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

x^4 + 2x + 2

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]

Answer:

She could buy 11 packs of cookies for $43.56.

Step-by-step explanation:

to find the answer you have to find how much 1 pack of cookies costs.

First, you divide 51.48 by 13

51.48/13 = 3.96

now that you know 1 pack of cookies cost $3.96 you can use that to find how many packs you could buy for 43.56

43.56/3.96 = 11

Answer:

B.

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

Answer:

a) estimated regression equation = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )  

b) multicollinearity is an issue for this model

Step-by-step explanation:

a) An estimated regression equation

estimated regression equation = price ~ mileage + age = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )  

Residuals :

Min 1∅ median 3∅ max

- 1053.73 - 542.06 - 19.61  433.55 1560.81

coefficients :

b) multicollinearity is an issue for this  model because the correlation between millage and Fs 0.6681727 is of high degree

attached below is the remaining part of the solution

The three consecutive number are 17 , 18 and 19 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = x

Let the second number be = ( x + 1 )

Let the third number be = ( x + 2 )

Now ,

A = 4 times the first decreased by the second is 12 more than twice the third

Substituting the values in the equation , we get

4x - ( x + 1 ) = 12 + 2 ( x + 2 )

On simplifying the equation , we get

4x - x - 1 = 12 + 2x + 4

3x - 1 = 16 + 2x

Subtracting 2x on both sides of the equation , we get

x - 1 = 16

Adding 1 on both sides of the equation , we get

x = 17

Therefore , the value of x is 17

Hence , the consecutive numbers are 17 , 18 and 19

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Answer:

742

Step-by-step explanation:

6000

-5258

   742

Answer:

a=4 because 4+2=6 on number one

Answer:

2700 meters

Step-by-step explanation:

2 and a half minutes becomes 150 seconds. 150 seconds divided by 4 seconds, the amount of seconds it takes to cover 72 meters, is 37.5. 37.5 multiplied by 72, the meters covered in 4 seconds, is 2700 meters.

Answer:

98°

Step-by-step explanation:

3x+89+8x+58=180

11x+147=180

11x=180-147

11x=33

x=3

< MON = 3x+89 = 3(3)+89 = 9+89= 98°

Answer:

1.77 percent increase

Answer:

25*0.5 = 12.5

Answer:

The child's reading level is at the 3.4th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.

This means that [tex]\mu = 90, \sigma = 24[/tex]

You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?

The percentile is the p-value of Z when X = 46.4, multiplied by 100. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{46.4 - 90}{24}[/tex]

[tex]Z = -1.82[/tex]

[tex]Z = -1.82[/tex] has a p-value of 0.034.

0.034*100 = 3.4

The child's reading level is at the 3.4th percentile.

Answer:

20%

Step-by-step explanation:

[tex]\frac{7}{35} =\frac{y}{100}[/tex]

35 · y = 7 · 100

35y = 700

35y ÷ 35 = 700 ÷ 35

y = 20

dollars per hour = salary

a

dollars per hours multiplied with hours worked (h) = total earnings

b

15 x 2 = 30

15 x 3 = 45

15 x 5 = 75

(h)

Answer:

G

Step-by-step explanation:

only 3 more brailiest and I will become an expert : )

Answer:

The option 'J' is the correct order from least to greatest

Answer:

3rd term: 24

10th term: 220

Step-by-step explanation:

For the 3rd term

2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24

For the 10th term

2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400

Answer:

0.25

Step-by-step explanation:

hope that helps!!!!!!!!!!!!!!!!!!!! :)

Answer:

2(x-3)

Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.

Answer:

Error is in line 3

Error description: Root of 4 is 2 not 4

Correct answer should be 9*√5 (12*√5 - 3*√5)

Answer:

X=5 y=-2

Step-by-step explanation:

Set them equal to each other so...

-2x+8=3x-7

Simplify by balancing out the equation so

-5x=-1

So x=5

Now plug it into either y equation

-2(5)+8

-10+8

Y=-2

Hope this helps!