In the figure, one exterior angle is drawn at each vertex of the triangle. Explain how to find the sum of the measures of these three exterior angles. ​

Answer:

324

Step-by-step explanation:

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

True-... i think because like i am not sure-

Linear functions are used to represented straight lines.

The linear function is [tex]y = -\frac 12x + 1[/tex]

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{1 - 0}{ 0 -2}[/tex]

[tex]m = \frac{1 }{ -2}[/tex]

Rewrite as:

[tex]m = -\frac{1 }{2}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac 12(x -0) + 1[/tex]

[tex]y = -\frac 12(x) + 1[/tex]

Open bracket

[tex]y = -\frac 12x + 1[/tex]

Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

p = (-15)/14

Step-by-step explanation:

Solve for p:

5 + 1/28 = p/2 + 4/7 + 5

Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:

((28×5)/28 + 1/28) = p/2 + 4/7 + 5

28×5 = 140:

140/28 + 1/28 = p/2 + 4/7 + 5

140/28 + 1/28 = (140 + 1)/28:

((140 + 1)/28) = p/2 + 4/7 + 5

140 + 1 = 141:

141/28 = p/2 + 4/7 + 5

Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:

141/28 = ((7 p)/14 + 8/14 + 70/14)

(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:

141/28 = ((7 p + 8 + 70)/14)

Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):

141/28 = (7 p + (70 + 8))/14

70 + 8 = 78:

141/28 = (7 p + 78)/14

141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:

(7 p + 78)/14 = 141/28

Multiply both sides of (7 p + 78)/14 = 141/28 by 14:

(14 (7 p + 78))/14 = (14×141)/28

(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:

(7 p + 78) = (14×141)/28

14/28 = 14/(14×2) = 1/2:

7 p + 78 = 141/2

Subtract 78 from both sides:

7 p + (78 - 78) = 141/2 - 78

78 - 78 = 0:

7 p = 141/2 - 78

Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:

7 p = (141/2 - (78×2)/2)

2 (-78) = -156:

7 p = 141/2 + (-156)/2

141/2 - 156/2 = (141 - 156)/2:

7 p = ((141 - 156)/2)

141 - 156 = -15:

7 p = (-15)/2

Divide both sides by 7:

p = ((-15)/7)/2

2×7 = 14:

Answer: p = (-15)/14

Answer:

6/91

Step-by-step explanation:

Total number of fruits = 4 + 2 + 3 + 5 = 14

Apple: 4/14

One of the fruits have been taken from the total. 14 thus becomes 13.

There are 3 oranges

Orange: 3/13

Combine probability: 4/14 * 3/13 = 12/182 = 6/91

Two is a common factor in both 12 and 182

Answer:

E

Step-by-step explanation:

Hope this helped

Answer:

x=1 x=-11

Step-by-step explanation:

first you need to find what two numbers add together to make 10x and multiply together to make 25-

this would be 5

so we can rewrite it as (x+5)(x+5) = 36

which is the same thing as (x+5)^2 =36

then taking the root of both sides we get (x+5)= plus or minus 6

so x=-11 or x equals 1

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

Step-by-step explanation:

if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.

now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c

Answer:

300 millilters per min = 18 liters per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 meter = 39.3701, by definition.

3 meters = 3*(39.3701)

3 meters of wire = 118 inches

Answer:

3 meters ≈ 118 inches

Step-by-step explanation:

1 meter = 3.28084 feet

1 foot = 12 inches

3 · 3.28084 =  9.84252

9.84252 · 12 = 118.11024

[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]

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

Explanation:

The drawing is shown below.

The goal is to find the length of CE based on these facts

Notice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.

Focus on triangle CAD. We'll use the pythagorean theorem to find x.

a^2 + b^2 = c^2

(AD)^2 + (DC)^2 = (AC)^2

15^2 + x^2 = 17^2

225 + x^2 = 289

x^2 = 289 - 225

x^2 = 64

x = sqrt(64)

x = 8

Segment CD is 8 cm long, and so is segment DE.

To wrap things up, we then say:

CE = CD + DE

CE = 8 + 8

CE = 16

Chord CE is 16 cm long.

Answer:

Step-by-step explanation:

The scale factor is the ratio between the man's actual height and the height of the drawing.

Scale = 64/4 = 16

Answer:

1/16

Step-by-step explanation:

the actual man is 16 times bigger than drawing.

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

9.) one to one correspondence

10.)one to many correspondence

Step-by-step explanation:

in 9 it shows that 1-4 are connected to different number

in 10 it shows that a is connected to 2 different numbers

Answer:

Is this a points post or something? If so, thank you!

Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.

Step-by-step explanation:

To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].

This means to rise up ___ amount of numbers and run __ amount of numbers.

Rise is moving along y, and x is moving along x.

-Additional info:

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

#TeamTrees #TeamSeas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

Answer:

36.19047619 million

or 36,190,476 students

Step-by-step explanation:

7.6 million / all students = 21% / 100%

7.6 * 100 / 21 = 36.19047619

36.19047619 million

or 36,190,476 students

Answer:

84mm

Step-by-step explanation:

square = LxW = 6x6 =36

triangle = bxh/2 = 6x8/2 =24

add together 24x2+36=84

Answer:

y = x+4

Step-by-step explanation:

First, we find the slope

m = (y2-y1)/(x2-x1)

m = ( 9-7)/(5-3)

    = 2/2

   =1

Slope intercept form of a line is y = mx+b  where m is the slope and b is the y intercept

y = 1x+b

Using one of the points

7 = 1*3+b

7 = 3+b

4=b

y = x+4

Answer:

Step-by-step explanation:

=> 3x + 9 = 2x + 5

=> 3x - 2x = 5 - 9

=> x = - 4

Hence, x has only one solution that is, x = -4 (Ans)

Topic : Linear equations in one variable

Given :

Solution :

[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]

Transposing variables on one side and constant terms on the other side, we get :

[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]

Answer:

Is there supposed to be a picture or no?

Step-by-step explanation:

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

By the fundamental theorem of calculus,

[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]

and so F'(1) = cos(1).

Answer:

1. y=3/5x +1

2. x = -3

3. y = 4

4. y = -1/3x + 4

5. y=5x + 4

6. y= 3/4 x + 1

7. y = 9/4x - 1/2

8. y = 5/3x

9. y = -5x +5

10. y = 2x - 5

11. y = -4x - 4

12. y = 1/4x - 4

Step-by-step explanation:

math lol

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

Answer:

10

Step-by-step explanation:

Equation=5*2^3/2^2