What is the value of x in the diagram below?

Answer:

Interior-140° Exterior-40°

Step-by-step explanation:

The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.

Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.

To get the individual interior angle, you use [tex]\frac{s}{n}[/tex], with n defined above and s being the sum of interior angles.

Therefore, each angle is [tex]\frac{1260}{9}[/tex]°, which can be solved to 140°.

The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).

In this case, 180-140=40°.

Each interior angle of a nonagon is 140°, and each exterior angle is 40°.

**This content involves angles of polygons, which you may want to revise. I'm always happy to help!

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

Answer:

15

Step-by-step explanation:

the formula for area of a parallelogram is base times height

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Answer:

94

Step-by-step explanation:

the sample size of the first survey is 15+26+7 = 48

so, for 48 surveyed teachers we get 15 SUV drivers.

our expectations is to get the same ratio also for other sample sizes (like 300).

15/48 = x/300

x = 15×300 / 48 = 15×75 / 12 = 93.75 ≈ 94

(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

Step-by-step explanation:

the answer is in the above image

Answer:

The correct answer would be A

Step-by-step explanation:

Answer:

500 1/8" (500.125 inches)

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

Answer:

30 for the son 60 for the dad

Step-by-step explanation:

Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad

Answer:

$339.00

Step-by-step explanation:

If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?

We solve the above question using the Equation:

A = P(1 + rt)

P = Principal = Amount deposited each month = $25

The amount deposited in a year = $25 × 12 months = 300

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 300(1 + (0.065 × 2)) = 339

A = $339.00

Therefore, you would have $339 in your account after 2 years

Answer: Choice C

Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.

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

Explanation:

Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.

Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.

Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.

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

In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.

Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.

Answer:

Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?

A) Joseph is correct because only a line will increase along the whole data set.  The scatterplot will have a positive, linear association.

B) Joseph is correct because only a line will decrease along the whole data set.  The scatterplot will have a negative, linear association.

C) Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatter plot could be linear or nonlinear.

D) Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.

Step-by-step explanation:

I got it right on ed.

(its C/3 btw)

Answer:

58 degrees

Step-by-step explanation:

By looking at the diagram we can see that angle DCE is an outside angle

There is a special relationship between the outside angle and the arcs it intercepts

The theorem states that the outside angle is equal to half the difference of the intercepted arcs

In other words [tex]outside angle= \frac{arc AC - arc BD (the difference of the arcs)}{2}[/tex]

Knowing this formula we can solve for DCE

So it would be [tex]angle DCE= \frac{238-arcDE}{2}[/tex]

Well we do not know what arcDE is

Since we are given that the other arc is 238 we can take 238 and subtract is from 360

this will give us 122

so you have angle DCE= 238-122/2

238 minus 122 is 116

Angle DCE-=116/2

Angle DCE=58 degrees

There are other ways you can do this but this is just one of them

Answer:

2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Since point D and E are midpoints of the sides of triangle ABC, hence:

AD = BD = 3t, BE = CE = 4t, AC = 7t + 6

The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;

Substituting:

48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6

48 = 21t + 6

21t = 42

t = 2 units

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

Answer:

3n - 4m

Step-by-step explanation:

(2n-5m)+(n+m)

so we get this equation and from here, we expand the equation by removing the brackets, you should get:

2n-5m+n+m and just solve from here.

to make it easier, put the like terms together:

2n+n+m-5m

= 3n-4m

Answer:

3n - 4m

Step-by-step explanation:

(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed.  We end up with:

2n – 5m

 n +   m

--------------        Grouping like terms vertically, as shown here, may make this

                         addition a bit easier.

2n – 5m

 n +   m

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

 3n - 4m (final answer)

Step-by-step explanation:

the answer is in the image above

Answer: The length of the rectangle is 16 yards and the width is 12 yards.

Step-by-step explanation:

The length is 4 yds longer than the width. Let's remove that from the perimeter so that the perimeter will be as if all sides had the same length (remember there are 2 sides for length and 2 sides for width).

[tex]56-4-4\\48[/tex]

Now we made it so that the extra 4 yards are gone and all sides are equal like a square. Now we can divide by 4 to determine the length of each of the now equal sides

[tex]\frac{48}{4} =12[/tex]

So all of the sides are 12, 12, 12, and 12. To two of the sides we can add back the extra 4 yards we took out giving us sides of 12, 12, 16, and 16.

Let's add it all together and see if it makes the perimeter of 56

[tex]12+12+16+16\\24+32\\56[/tex]

It does! Since the length is 4 yds longer than the width the length is 16 and width is 12.

Answer:

25 because I need to use mayh

Answer: 6a

Step-by-step explanation:

A + 5A just equals 6A. Let me know if I answered incorrectly or if you want me to clarify.

option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection

so they all will make 61°

Answer:

E.1.06(26.50+10d)

Step-by-step explanation:

d+e

i think i its d im not sure to

Answer:

SA=96

Step-by-step explanation:

formula for triangular prism=bh+l(s1+s2+s3)

3*4/2*2=12

4*7=28

3*7=21

5*7=35

12+28=40+21=61+35=96

Answer: column A= temperature column B= wind speed. Label A= wind speed label B= Temperature

Step-by-step explanation:

Answer:

Column A =  

✔ temperature

Column B =  

✔ wind speed

Label A =  

✔ wind speed

Label B =  

✔ temperature

Step-by-step explanation: Just did it in the assignment of edge :)

Answer:

x+3/3=y+2/2

x/3 = y/2

Step-by-step explanation:

Answer:

90 - 63 = 27 degree

Step-by-step explanation: