Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7​

Answers

Answer 1

9514 1404 393

Answer:

  M = 141°, N = 39°

Step-by-step explanation:

Supplementary angles have a total measure of 180°, so ...

  M + N = 180

  (6x +3) +(2x -7) = 180

  8x = 184 . . . . . add 4, simplify

  x = 23 . . . . . . . divide by 8

∠M = 6·23 +3 = 141°

∠N = 2·23 -7 = 39°


Related Questions

Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?

Answers

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

https://brainly.com/question/13599569

i need help in finding numerical value please

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

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

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?

Answers

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer would be 12.84:)

1. (3x + 7) + (8x + 2)

Answers

11x+9


Step by step:
Remove the parenthesis
3x+7+8x+2
Collect like terms
11x+7+2
Add 7+2
11x+9

what 5-2 to the power of 5

Answers

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

NEED HELP PLEASE BEGGING PLEASE!!!!

Answers

Answer:

-54

Step-by-step explanation:

[tex]8(-9) - 6(-3)\\[/tex]

Multiply 8 by -9 and 6 by -3

[tex]-72 - (-18)[/tex]

Subtract[tex]Value = -54[/tex]

Hope this helps

plz mark brainliest

can you tell me the answer​

Answers

x would be equal to 1/4

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

If 3x - 8 = 9x+5/2, what is the value of x+ 7?

Answers

See attachment for math work and answer.

HELP PLEASE HELP I’m doing geometry please help

Answers

Answer:

(4x - 10) + x = 90 degrees

x = 20

what is 8.8x10^5 in standard notation?

Answers

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

value of 3b^2 - 5c^3 if b = 2 and c = -1​

Answers

Answer:

17

Step-by-step explanation:

3(2)^2 - 5(-1)^3

3(4) - 5(-1)

12 + 5

17

Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______​

Answers

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

yall play copter royale ?

Answers

Naww I don’t play that game

Answer:

i do i am right noww lol

Step-by-step explanation:


What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5

Answers

y= -2/5x + 5 is the equation, so the correct answer would be c

The points are (-5,7) and (10,1). The slope of the points is -2/5.

How to calculate a slope ?

Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.

Given that,

The points are (-5,7) and (10,1).

We have to find the slope of the points.

The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,

Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here,

x₁=-5,

y₁=7

x₂=10

y₂=1

Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]

Slope of the points =(-6)/(15)

Slope of the points = -2/5

Therefore, the slope of the points is -2/5.

To learn more about slope visit: https://brainly.com/question/3605446

#SPJ2

A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)​

Answers

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

How to convert yards to feet?

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

To learn more about the metric conversion visit:

https://brainly.com/question/21244256.

#SPJ5

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .

Answers

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

Measure the angle and classify it as right, acute, or obtuse.

Answers

Answer:

b

Step-by-step explanation:

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?

Answers

Answer:

1. 32

2. 75

3. 384

Step-by-step explanation:

I did the assignment, on EDGE2020 and got it correct

James is studying different kinds of weather.

Rain has water drops that are larger than 0.02 inch in diameter.
Small hailstones are less than 14 inch in diameter.
Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.








A


B


C


D


E


F


G


H

Answers

Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal

Answers

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box

Answers

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes

Answers

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

c)Write an equation to represent the situation  Number of Gomes

General equation : y = mx+c

So, y = 4.5x+12

What is the square root of 51.84​

Answers

The square root of 51.84 is 7.2

Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards

Answers

25 per cubic yard Bc (1,25) (2,50) so we use the formula 50-25=25 and 2-1=1 then we divide 25 by 1 which gives us 25 per cubic yard

PLZ ANSWER THIS QUICK! THANKS!

Answers

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Help me out please I'll give brain list

Answers

Answer:

b

Step-by-step explanation:

hope this helps

B because they are all attached to the bell which will allow it to make noise hope this helped

WHat is 9 to the the power of infinity timees the number of cubic inches

Answers

Answer:

...infinity cubic inches?

Step-by-step explanation:

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