Solve the angles of this parallelogram

Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

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

m=[tex]\frac{-2--6}{2--3}[/tex]

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

=> 2x = j(x) - 9

=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

Answer:  

145°

Step-by-step explanation:  

[Finding the non-label angled in the triangle] 180° - 75° = 105°

Finding 3: (x = angle 3)  

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180  

[combine like terms] 145° + x = 180°  

[subtracting 145 from both sides] 35° = x  

   () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)  

180 - 35 = 145°

Have a nice day!  

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)  

- Heather

Answer:

P = - 3

Step-by-step explanation:

For the equation to have no solutions the the coefficient of x on both sides must be the same.

5 - 3x = Px + 7 ← P = - 3 , then

5 - 3x = - 3x + 7 ( subtract 5 from both sides )

- 3x = - 3x + 2 ( add 3x to both sides )

0 = 2 ← not possible

Meaning the equation has no solutions

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

Answer:

43.5 cm

Step-by-step explanation:

The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.

45/15 = 3

14.5 * 3 = 43.5 cm

Answer:

43.5

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

Answer:

P is the incorrect answer

Answer: 8

Step-by-step explanation:

Ok, start going backwards with the addition and substration which makes it:

105 – 25 = 80

Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:

80 divided by 10 = 8

8 Friends is the answer.

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

804357 27/314=r³

∛804357 27/314=∛r³

r≈93

Answer:

no answer choices shown but solution

would be [-2.8, -∞] and [2.83, ∞]

Step-by-step explanation:

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

Answer:

look at the picture i have sent

Answer:  

a.  28.7 miles

b.  40 miles

Step-by-step explanation:

See attachment.

Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph).  Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.

a.  28.7 miles

b.  40 miles

Answer:

False

Step-by-step explanation:

AB is equal to DE not DF

AC is equal to DF not EF

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

Answer:

45an

Step-by-step explanation:

1st. (5a × 3n) × 3

2nd. Multiply the monomials

3rd. after doing that you get 45an

Answer:

48

Step-by-step explanation:

First find the amount of the markup

40 * 20%

40 *.2

8

Add this to the original price

40+8 = 48

To begin, remember that the sum of all angles must equal 180.

With that being said, take your two known angles into account.

1 - X = Unknown

2 - 102

3 - 48

To find x, simply add 102 and 48.

102 + 48 = 150, the sum of angle 2 & 3.

Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.

180 - 150 = 30

x = 30

To double check, add all the sides together.

102+48+30 = 180

She gets 20 dollars every day.

Hello there!

The slope of this line is 0.

y=-4 is a horizontal line.

We find the slope using the formula Rise/Run.

The rise is 0, and no matter what the run is, the slope is 0 anyway.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

-95

Step-by-step explanation:

formula in finding this is -3

Arithmetic Sequnce:

-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.

Carry on learning

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

clearly, we see here, this constant is -3.

and we start with -8.

a1 = -8

a2 = a1 - 3 = -8 - 3 = -11

a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14

so, it becomes clear that

an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3

so,

a30 = -8 - 29×3 = -95

Answer:

-175.26

Step-by-step explanation:

[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]

Answer:

x = 7

Step-by-step explanation:

The right angle is composed of the 2 given angles, so sum to 90°

4x + 40 + 6x - 20 = 90

10x + 20 = 90 ( subtract 20 from both sides )

10x = 70 ( divide both sides by 10 )

x = 7