Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

The 1st one

Step-by-step explanation:

Because it is a right triangle you can see that by the 90* box next to the height and if you turn it over a little you can tell that it is the 1st one.

____________________________________________________________-HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

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Answer:

f(17) = $15.75

The amount it takes for a trip of 17 miles is $15.75

Step-by-step explanation:

Here, we want to calculate f(17)

The equation is given as;

y = 0.75x + 3

For f(17), substitute x for 17

y = 0.75(17) + 3

y = 12.75 + 3

y = $15.75

What f(17) means is that the ride was for 17 miles

$15.75 is for a trip of 17 miles

Answer:

The y-intercept is -2.

Step-by-step explanation:

Look at the graph and see where the line crosses the y-axis.

Answer:

-2

Step-by-step explanation:

The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.

~theLocoCoco

Answer:

3 1/2 puzzles

Step-by-step explanation:

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       [tex]\sqrt{3^{2} } + (-1)^{2}[/tex]

d = | 20 | / [tex]\sqrt{10}[/tex]

d = 20 / [tex]\sqrt{10}[/tex]

d = 2[tex]\sqrt{10}[/tex]

Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

Answer:

7

Step-by-step explanation:

5x4=20

20/2=10

17-10=7

Answer:

your answer is 7

Step-by-step explanation:

17-5×4÷2

P- parenthesis

E- Exponents

M- Multiplication

D- Divide

A- Add

S- Subtract

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

Answer:

Step-by-step explanation:

2. 3x-1/3 = 5

+1/3    +1/3

___________-

3x= 5   1/3

÷3     ÷3

__________________

x=1.77777777778

5.  3x-9=5x-3

+3     +3

_____________-

3x-6=5x

-3x    -3x

_______________-

-6=2x

÷2    ÷2

______________-

-3=x

8.   3x-2x=8  ( I crossed multiplied btw)

x=8

Hope this helps ∞<3

Answer:

x

=

1

and

y

=

−

2

Explanation:

Here ,

3

x

−

2

y

=

7

...

.

→

(

1

)

5

x

+

y

=

3

...

...

→

(

2

)

Multiplying eqn.

(

2

)

by

2

and adding:

i

.

e

.

(

1

)

+

2

×

(

2

)

we get

3

x

−

2

y

=

7

10

x

+

2

y

=

6

−−−−−−−−−−−−−

13

x

+

0

=

13

∴

x

=

1

Subst.

x

=

1

into

e

q

n

.

(

2

)

we get

5

(

1

)

+

y

=

3

∴

5

+

y

=

3

∴

y

=

3

−

5

∴

y

=

−

2

Hence,

x

=

1

and

y

=

−

2

Answer:

[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]

Or, for a more simplified version:

[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]

Or, for an EVEN MORE simplified version:

[tex]y=\frac{3x-7}{2}[/tex]

Step-by-step explanation:

There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.

Also, the image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

wait what was the question i might be able to help if i know what it is

Answer:

9 pounds of chocolate candies

6 pounds of sugar candies

Step-by-step explanation:

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 * 5 = 75

7x + 2 * (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

15 - 9 = 6

y = 6

9 pounds of chocolate candies and 6 pounds of sugar candies

The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.

He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 x 5 = 75

7x + 2  (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

Now 15 - 9 = 6

y = 6

Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.

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Not sure if this is the answer but this is what I got

Answer: y= 4/25 x

Answer:

Average rate of temperature increase is 2 degrees per hour

Step-by-step explanation:

Here, we want to calculate the average rate of increase in temperature

From what we have above, we can calculate this by dividing the total temperature rise by the number of hours

The total temperature rise is 6 + 4 = 10 degrees

This means that the temperature rose by 10 degrees between 10 am and 3 pm

The number of hours between 10 am and 3 pm is 5 hours

So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour

Answer: 100

Step-by-step explanation:

It is an alternate interior angle.

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

Answer:

Slope: 1.75

Step-by-step explanation:

Slope = (3-10) / (0-4)

         = -7 / -4

         = 1.75

Answer:

29

Step-by-step explanation:

29-17= 12

12x-5=-60

Answer:

1

intercepts on the y line

Answer:57

Step-by-step explanation:

Answer:

hey uh I just wanted to say thank you and helping Yuri she is my world I could not be the person I am without her

Step-by-step explanation:

Answer:

1) $500

Step-by-step explanation:

It literally says $500 on the table hope this helps :D

For #2, i cant see the full question.

Hope this helps :D Please hit the crown if you want me to help you on the last one then tell me and make a new question !!!!!!!!!!!!

Answer:

500, x times 500 = y

Step-by-step explanation:

Question 1: $500, if you look at the table underneath the section for "one" compute it says 500 in the cost section.

Question 2: X times 500 = Y (since for every "x" (computer) there is $500 "y" (cost))

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches