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

Which graph represents the solution set for the compound inequality below?

Answers

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Geometry
Please help

Answers

answer: MQ= 8 and PQ= 16

explanation:

4+4= PM (8)

MQ = PM, so MQ= 8

PM + MQ = PQ

8 + 8 = 16, so PQ = 16

A pod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet. What info does does this tell you about the length of dolphins in this pod?

Answers

That all dolphins have different sizes and are mostly different ages

The median represents the middle value of the data 5.8 feet will be the middle value.

What is the median?

The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.

Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.

From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.

Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.

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Can someone please help me.

Answers

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

Non linear because the change in the y axis is not constant

Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

The solution of 12x+12=8x is?

Answers

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?

plsss help mee​

Answers

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.

Answers

Yes number 1 yes yes

The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range​

Answers

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

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Answer Fast Please And Thank You

Answers

Answer:

a d

Step-by-step explanation:

maybe

What is 0.18 divided by 7.56 plzz help me and the others ones to

Answers

Answer:

0.023

Step-by-step explanation:

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *

Answers

Answer:

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Step-by-step explanation:

Given

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]

Going by the Pythagoras theorem, we can assume the following.

a = Oppositeb = Adjacentr = Hypothenuse

So, we have:

[tex]Sin\theta = \frac{a}{r}[/tex]

[tex]Cos\theta = \frac{b}{r}[/tex]

Having said that:

The expression can be further simplified as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]

Substitute values for sin and cos

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes

[tex]cos^2\theta + sin^2\theta = 1[/tex]

PLEASE HELP HELP PLEASEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D

Due in 3 minutes please help

Answers

Answer:

1847 - 24% decrease

1848 - 68.42% increase

Hope this helps.

40/12 to a mixed fraction ?

Answers

Answer:

3 1/3

Step-by-step explanation:

40/12

12*3 = 36

40-36 = 4 so there is 4 left over which goes over the denominator

3  4/12

Simplify

3 1/3

Identify the domain of these ordered pairs from least to greatest:

Answers

Answer:

(0,5)

Step-by-step explanation:

you are supposed to take the lowest and highest numbers of the x values and then that would be your domain

Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?


Answers

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

How to calculate the speed?

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

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HELP ME PLEASE 10 POINTS PLEASE PLEASE

Answers

Answer:

That picture is quite blurry. If you could add a new image in the comments, I could help you ASAP.

Step-by-step explanation:

In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?

Answers

Answer:

-9 points

Step-by-step explanation:

How do you find range and domain

Answers

Answer:

another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.

Which of the binomials below is a factor of this trinomial?
6x2- 5x-25
A. 2x-5
B. 6x-5
O C. 6x + 5
D. 2x + 5

Answers

Answer:

A. 2x-5

Step-by-step explanation:

(2x-5)(3x+5)

Hope this helps!

Answer:

A. 2x-5

Step-by-step explanation:

Explain why three-dimensional graphs can be misleading. What would be a better type of graph to
use?

Answers

three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

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

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]

PLZ HELP MEEEE, will give brainliest

Answers

Answer:

It is either B or D but i would say B

Step-by-step explanation:

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?

Answers

Answer:

The total weight of the smaller packages is 84 lb

which of the equation is graphed below

A.) y=1/4x+1
B.) y=-1/4x+1
C.) y=4x+1
D.) y=-4x+1​

Answers

A, because 1/4 is your slope of the line. which means you find a point where the line intersects and count 1 up and four over to the right and should end up where the line touches the graph again. if it were to be -1/4 it would be opposite and the line would be going the other way. and 1 would be your y-intercept. this is where the line crosses over the y axis at 1! hope you found this helpful!

help show work
42,44,46,48,50
assig 9

Answers

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

 

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

                       

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?

Answers

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Therefore, coordinates of the point X will be,

= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]

= (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of AX = BX = [tex]a\sqrt{2}[/tex]

Therefore, triangle AXB is an isosceles triangle.

Other Questions
what are some similarities between Sparta and Athens Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March Conjugate the following verbs to the present tense. 1. Comer: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.2. Bajar: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.3. Pintar: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.4. Aburrir: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.5. Partir: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.6. Fingir: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.7. Beber: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.8. Patinar: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.9. Correr: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________.10. Saltar: Yo_________, Tu ______________, El/Ella/Usted ________________, Nosotros/as ____________, Ustedes, Ellos/as ____________. to be a good basketball player one must have skills in ____ and ____.Help. Asap Why should behavioral health be handled on a case-by-casebasis?#2#3#4#5Because the link between behavioral health and mentalhealth is usually the same.Because the link between behavioral health and mentalhealth varies from patient to patient.O Because the link between behavioral health and mentalhealth is difficult to detect.O Because the link between behavioral health and mentalhealth varies from day to day. In 10 minutes a heart can beat 700 time at this rate in how many minutes will a heart beat 140 time Which human activity has the most negative effect on the stability of an ocean environment Identify and describe the three types ofgovernment in the English Colonies. Through a series of compromises the delegates were able to agree on the important points of the new plan. After its approval by the convention, the Constitution still had to be ratified by the states. The promise to add a Bill of Rights helped convince Anti-Federalists to approve the new government. In June 1788, New Hampshire became the ninth state to ratify the document and the Constitution took effect. Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water. The Civil War harmed ranching in the Indian Territory by __________. A. encouraging conflicts between tribes B. introducing Texas fever to tribal herds C. allowing tribes to lease land to ranchers D. creating large cattle trails 2.5 as a simplified fraction I dont know! i really need helpp Choose the sentence that best describes the image.A. El pronstico dice que hubo una tormenta.B. El pronstico dice que hay una tormenta.C. El pronstico dice que va a haber una tormenta.D. El pronstico dice que habet una tormenta. PLEASE HELP I NEED AWNSER ASAP You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years Why do you think literature, history, and philosophy became known as the humanities? Calculate the effective value of g, the acceleration of gravity, at 6700 m , above the Earth's surface. g 5 pointsWhat society was a cause of the French Revolution? Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?