A triangle has angle measures of 47 degrees and 92 degrees. What is the measure of the third angle?

a) The equation of line k is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

b) The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which:

Item a:

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

In which [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of k and m.

[tex]m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}[/tex]

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

[tex]-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}[/tex]

[tex]m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2[/tex]

[tex]m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}[/tex]

[tex]\frac{167m_2}{80} = \frac{-202}{80}[/tex]

[tex]m_2 = -\frac{202}{167}[/tex]

Thus:

[tex]y = -\frac{202}{167}x + b[/tex]

It goes through point (-2,6), that is, when [tex]x = -2, y = 6[/tex], and this is used to find b.

[tex]y = -\frac{202}{167}x + b[/tex]

[tex]6 = -\frac{202}{167}(-2) + b[/tex]

[tex]b = 6 - \frac{404}{167}[/tex]

[tex]b = \frac{6(167)-404}{167}[/tex]

[tex]b = \frac{598}{167}[/tex]

Thus. the equation of line k, in slope-intercept formula, is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

Item b:

Thus, the slope of line j is:

[tex]-\frac{202}{167}m = -1[/tex]

[tex]m = \frac{167}{202}[/tex]

Then

[tex]y = \frac{167}{202}x + b[/tex]

Also goes through point (-2,6), thus:

[tex]6 = \frac{167}{202}(-2) + b[/tex]

[tex]b = \frac{(2)167 + 202(6)}{202}[/tex]

[tex]b = \frac{1546}{202}[/tex]

The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

A similar problem is given at https://brainly.com/question/16302622

Answer:

the perimeter of the square is 104

Step-by-step explanation:

to find the perimeter of a square we need to use the formula P = 4a

P is perimeter and a is the side of the square

if a is the side and the formula of Area is A = a^2

that means the side of the square is a = 26 because 26 * 26 = 676

now we take 26 and place it in the a spot of the perimeter formula

P = 4 * 26   (P = 104)

can i get brain if this helps and is correct plz and thxs <(^w^)>

Answer:

It's 104

Step-by-step explanation:

Answer:

hope you like my answer its -4

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The DISTRIBUTIVE PROPERTY formula is}\downarrow\\\large\textsf{a(b + c)}\\\large\textsf{= a(b) + a(c)}\\\large\textsf{= ab + ac}[/tex]

[tex]\large\text{Now that we have the formula, we can solve for your question/answer.}[/tex]

[tex]\large\text{YOUR EQUATION: \underline{\underline{\textsf{-6(3x - 4)}}}}}\\\\\large\textsf{= -6(3x) - 6(-4)}\\\large\textsf{= -6(3x) + 6(4)}\\\large\textsf{= -18x + 24}\\\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{-18x + 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

See explanation

Step-by-step explanation:

For any line, with slope [tex]m[/tex] and y-intercept [tex](0, b)[/tex] the line is [tex]y=mx+b[/tex].

1)

[tex]m=6, b=-2[/tex], Line: [tex]y=6x-2[/tex]

2)

[tex]m=2/3, b=5[/tex], Line: [tex]y=2/3*x+5[/tex]

3)

[tex]m=-5, b=0[/tex], Line: [tex]y=-5x[/tex]

4)

[tex]m=0, b=-1[/tex], Line: [tex]y=-1[/tex]

5)

[tex]m=-1, b=4[/tex], Line: [tex]y=-x+4[/tex]

Answer:

coefficient

Step-by-step explanation:

Answer: Answer:

Step-by-step explanation:

so I don't know the answer but need to answer a question

Answer:

1000 grams per pint

Step-by-step explanation:

2 kg / qt * (1 qt / 2 pints) * (1000 grams/ kg ) = 1000 grams /pint

Answer:

20

Step-by-step explanation:

nah it might be 21

Obviously its 21 pfff

Answer:

Step-by-step explanation:

12

Answer:

Medium box: 343 in^3

Large box: 636 in^3

Step-by-step explanation:

- Volume small box = 218 in^3

- Area face medium box = 49 in^2. (7x7=49)

Volume medium box = 7^3 = 343 in3

- Combine volume of the 3 boxes = 1,197 in^3

- Volume large box = 1,197 - 218 - 343 = 636 in^3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct statement is :

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

Answer:

-24

Step-by-step explanation:

Since there is a -5, it will go backward. Imagine there is a -19 point on a number line. It will have to go 5 back because it says negative.

-kiniwih426

the answer is d!

Step-by-step explanation:

the constant line starts at (-2, 1) and goes on forever

Answer:

(4,0)

Step-by-step explanation:

Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.

Hope this helps!

Answer:

Hi, I believe they would be parallel because they don't intersect?

Hope this helps!!

Answer:

1.) 10000

11000

10900

10880

2.) 50000

53000

52900

52860

3.) (repeat of 1.)

4.) 80000

77000

77300

77330

5.) (repeat of 1.)

6.) (repeat of 4.)

7.) (repeat of 1.)

8. 70000

66000

65500

65540

Answer:

1. 10879.0000

2.52864.0000

3. 65536.0000

4.77329.0000

Step-by-step explanation:

They are all the same but just keep adding zeros.

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

First option

Step-by-step explanation:

The sign inadvertently shows you where the line should be pointing because it looks like an arrow. Not to mention it means greater than or equal to, so it would be a closed dot.

Hope this helped :)

Answer:

a. 1 1/2 (or 3/2)

b. 2/3

c. 1

d. 1

Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

m=(-3/-3)

m=1

Part D: (2,5) (-7,-4)

m=(-7-2)/(-4-5)

m=(-9/-9)

m=1

Answer:

15÷1 .50=10

Because you are already paying a flat rate of $15. You make 1.50 off of each flower. So you have to sell over 10 flowers to make a profit.

At least 11 flowers should be sold to make a profit.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

Given:

Total cost for the buying flower = 1.5 * number flowers  + 15

For n=10                                       = 1.5 * 10 + 15

                                                     = 30

By selling 10 flowers                    =10 * 3

                                                     = $30

For n =11                                        = 1.5 * 11 + 15

                                                      = 31.5

By selling 11 flowers                    = 11 * 3

                                                     = 33

Therefore, At least 11 flowers should be sold to make a profit.

Learn more about equation here:

brainly.com/question/10413253

#SPJ5

Answer:

Step-by-step explanation:

For number 8, to start,:

[tex]\frac{x}{4}[/tex] - 1 = 1

the first step is to add 1 to both sides of the equation; then, simplify.

[tex]\frac{x}{4}[/tex] - 1 = 1

   +1    +1

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

next, the -1 and +1 will cancel.

[tex]\frac{x}{4}[/tex] = 2

the last step is to multiply both sides of the equation by 4.

4 · [tex]\frac{x}{4}[/tex] = 2 · 4

simplify; the 4s cancel out on the left side.

x = 8

**************************************************

For number 9, :

9 = 6 + [tex]\frac{x}{7}[/tex]

like in number 8, the first step is to subtract 6 from both sides of the equation; also, a helpful tip you can use is move the 9 to the right side; speaking personally, it often helps make things visually easier to work out. you would then rewrite the equation like: 6 + [tex]\frac{x}{7}[/tex] = 9

6 + [tex]\frac{x}{7}[/tex] = 9

now, we'd subtract 6 from both sides.

6 + [tex]\frac{x}{7}[/tex] = 9

-6         -6

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

next, the 6 and -6 will cancel.

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

the last step is to multiply both sides of the equation by 7.

7 · [tex]\frac{x}{7}[/tex] = 3 · 7

simplify; the 7s cancel out on the left side.

x = 21

Answer:

me too jaja

Step-by-step explanation:

The value of x is 100 meters if the shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

A shipwreck is 300 meters away from a diving station.

An undersea explorer travels away from the station at a speed of 2 meters per second.

The explorer is x meters away from the station and will reach the

shipwreck in 100 seconds.

As we know,

Distance = time×speed

Distance = 100×2

Distance = 200 meterse

x = 300 - 200

x = 100 meters

Thus, the value of x is 100 meters if the shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

Answer:

the answer is 22 percent which is science

Answer:

100 marks have been obtained in the hindi subject.

Step-by-step explanation:

First you have to find how many marks are obtained by one degree. So you have:

450marks/360°=1.25marks/degree

Then you have to find how many marks are obtained for each subject.

1.25marks/degree×80°= 100 marks

1.25×72= 90 marks

1.25×70= 87.5 marks

1.25×90= 112.5 marks

1.25×48= 60 marks

100+90+87.5+112.5+60=450 marks

Answer:

65

Step-by-step explanation:

Answer:

1/8362

Step-by-step explanation:

Student picked at random/Number of students