triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality

Triangle ABC Is Shown In The Diagram. The Links Of The Sides Are In Terms Of The Variable N, Where N

Answers

Answer 1

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

a+b > c   ⇒   3n+3 > 3n-2 . . . always trueb+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

Triangle ABC Is Shown In The Diagram. The Links Of The Sides Are In Terms Of The Variable N, Where N
Answer 2

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw


Related Questions

PLEASE HELP I'M QUITE SURE WITH THIS QUESTION

Answers

The answer is  ( D ),   y ≤ 6

The range begins from minimum value to maximum value.

However, in the graph. There's no minimum value as it's heading toward negative infinity.

So we use y ≤ 6 instead.

So the clear answer is y ≤ 6 or ( D )

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?
A. 26x - 51.07
B. 26x + 92.93
C. 35.2x - 51.07
D. 35.2x + 92.93

Answers

The answer is a I did the math trust me

Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).

Answers

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

m is the slope y is the intercept

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please

Answers

Answer:

B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter

Step-by-step explanation:

also the person who keeps deleting all my answers i hope u break your back

Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is

Answers

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

PLEASE HELP. I need an answer by Nov 5

Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4

M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality

Answers

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

What is the Addition Property of Equality?

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ2

What is the solution to n/4 = -12.4?

n = 3.1

n = -3.1

n = 49.6

n = -49.6

Answers

Answer:

n= -49.6

Step-by-step explanation:

49.6 i did this test and got it right

What is 9 - 3 ÷ 1/3 + 1 Please show work

Answers

Answer:

answer

Step-by-step explanation:

9-3 = 6

6  divided by  1/3  is (3x6) = 18

18 + 1 = 19

Answer:

the answer is 19

Step-by-step explanation:

PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!

Answers

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?

Answers

Answer:

[tex]KE = 520 J[/tex]

Step-by-step explanation:

[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]

I need to find the answer to B

Answers

Answer:

a) The next two terms are: 13, 16

b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]

Step-by-step explanation:

a) Find the next two terms of sequence: -2,1,4,7 and 10

The common difference d: a₂-a₁ = 1-(-2)= 3

a₃-a₂= 4-1 = 3

a₄-a₃=7-4=3

So, common difference is : 3

Next two terms are: 10+3 = 13

13+3= 16

The next two terms are: 13, 16

b) Find nth term of the sequence

The nth term can be found using formula:

[tex]a_n=a_1+(n-1)d[/tex]

where a₁=First term and d=Common Difference

In the sequence given we have a₁=-2 and d=3

So, the nth term will be:

[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]

So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]

please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)

Answers

Answer:

Thanks so much

Step-by-step explanation:

plz give me brainiest

Answer:

= 0.312

Solution:

Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

2000000 ÷ 6410251 = 0.312

and therefore:

2 ÷ 6.410251.6109 1) = 0.312

Both calculated to 3 decimal places.

             0 0 0 0 0 0 0. 3 1 2

6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0

           − 0                  

             2 0                

           −   0                

             2 0 0              

           −     0              

             2 0 0 0            

           −       0            

             2 0 0 0 0          

           −         0          

             2 0 0 0 0 0        

           −           0        

             2 0 0 0 0 0 0      

           −             0      

             2 0 0 0 0 0 0 0    

           − 1 9 2 3 0 7 5 3    

                 7 6 9 2 4 7 0  

               − 6 4 1 0 2 5 1  

                 1 2 8 2 2 1 9 0

               − 1 2 8 2 0 5 0 2

                         1 6 8 8

4.048 divided by 0.88​

Answers

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

-5,-75,3-2,4,3/2 write in ascending order​

Answers

Answer:

5,-75,3-2,4,3/2

Step-by-step explanation:

5,-75,3-2,4,3/2

Order from greatest to least : 0.8; 8.83; 0.083; 80.83

Answers

Answer:

ok

Step-by-step explanation:

0.083,80.83,8.83,0.8

Hope that helps you.

Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.


1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.


2. Multiply by 5: a = 50 minus 10 b.



Which statement about Roman’s work is true?

I need a quick answer pls!

Answers

Answer:

In step 2, he needed to divide both sides of the equation by 5

Step-by-step explanation:

I'm very positive about this

Hope this helps!!!!!!

Answer:

step 2

Step-by-step explanation:

URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:

Answers

Answer:

NK = 7, MK = 2, MF = 9.9, Area = 42

Step-by-step explanation:

Refer to attached

To find:

NK ,  MK,  MF, Area of trapezoid

Solution

The trapezoid is isosceles and NK is its height, therefore

MD - NF = 2MKMK = (9 -5)/2 = 2

Since ∠KDN = 45°, the triangle NKD is isosceles and so

NK = KD = MD - MK = 9 - 2 = 7

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

ND = NK√2 = 7√2 = 9.9 So MF = 9.9

Area of trapezoid

A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42

Yasmine needs to create invites for a party. She has 3/4 of an hour to make the invites. It takes her 1/12 of an hour to make each card. How many invites can she create. Use a model to represent the qutient

Answers

(3/4) / (1/12)
= (3/4) * 12
= 36/4
= 9
She can create 9

40 POINTS HELP ME! I NEED HELP WITH THIS !!

Answers

Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

Write a linear function with the values f(0) = 5 and f(-3) = 6

Answers

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

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

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

Learn more on linear function here: https://brainly.com/question/18201178

Write an expression for the sequence of operations described below.
j times the product of 4 and 7

Answers

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?​

Answers

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5*3=22.5

Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11

Answers

Queston:

Select all of the values that are solutions to the following inequality.

3(2a-1)> 10a - 11

Answer:

The answer is 2

30 Willow trees are distributed over a geographic area consisting of 50 acres. what is the population density in terms of willow tree per acre?​

Answers

Answer:

There is 1 tree per 1.6 acre.

Step-by-step explanation:

Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.

Answer:

0.6 acres.

Step-by-step explanation:

You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.

helpppp plesase ASAP​

Answers

Ooooooooooooooooop I don’t even know

Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?

Answers

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.

Answers

Answer: Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

Step-by-step explanation:

Formula for simple interest :

I = PRT,

P= Principal, R =rate , T= time

Let x = amount borrowed at 9%.

y = amount borrowed at 7%.

z = amount borrowed at 10%.

i.e. x+y+z= 50000    (i) [Given : amount invested = 50000]

Interest on x = x (0.09)(1)   [as P=x,  T=1 year, r= 0.09]

= 0.09x

Similarly

Interest on y = y(0.07)(1) = 0.07y

Interest on z = z(0.1)(1)=0.1z

Total interest = 0.09x+0.07y+0.1z = 4340   (ii)

Also, y=2x   [given]  (iii)

Put y=2x in (i) and (ii), we get

x+2x+z= 50000 ⇒ 3x+z=50000    (iv)

0.09x+0.07(2x)+0.1z=4340  ⇒ 0.09x+0.14x+0.1z=4340

⇒ 0.23x+0.1z=4340    (v)

Multiply 10 on both sides of (v)

2.3x+z=43400   (vi)

Eliminate (vi) from (v)

0.7x=6600

⇒ x= 9,428.57

From (iii), y= 2(9428.57) =18,857.14

From (vi),

2.3(9428.57)+z=43400

⇒ 21685.71+z=43400

⇒ z= 43400-21685.71

⇒ z=21714.29

Hence, Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)

Answers

Answer:

(5,4)

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

Other Questions
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6). Some wasp species lay their eggs inside living caterpillars. As the eggs mature, they use the caterpillar as a food resource. Eventually, the wasp larvae hatch out of the caterpillar. This type of relationship is BEST described as a what?? Which of the following is NOT ahomogenous mixture? Find the midpoint of the line segment with end coordinates of (2,0) and (8,8) True or False. Many considered the most appealing quality of James Monroe notto be his intelligence but his character and trustworthiness. Please i need help i give you 20 POINS if you help me the whole thing plz and Thank you. Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far did she walk on Wednesday? PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!! Which example would most likely lead Georgia's Department of Natural Resources to take action? A bridge falls into disrepair, and the government orders it to be repaired. A business discharges hazardous material into a river near its headquarters. A state agency hires a chief engineer with a criminal background. A gas explosion at a night club is caused by a gas company employee. Hay muchos arboles en...? What is a major advantage of globalization?A. Businesses are able to sell products to customers around theworld.B. Fewer companies are creating pollution by shipping goods longdistances.C. Economies around the world no longer have to deal with inflation.D. Consumers are able to support their local economies more easily.SUBMI Denominator of the fraction2/5.Denominator of the fraction 13/16. This is a 20 point question must answer both plzzz plus Brainly where in texas are you most likely to find hoodoos ?coastal plainmountains and basins great plains north central plains NOT a cash crops that Europeans grew on plantations in the Americas?A: cottonB: sugarcaneC: tobaccoD: bananas 40 POINTS HELP ME! I NEED HELP WITH THIS !! 4. Workers can be exposed to blood or other potentially infectious materials(OPIM) if it splashes into theirA. EyeB. NoseC. A MouthD. All of the above Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store? 9. "NEW WORLD" WAS A NAME GIVEN TO THE AMERICAS BYA.SPICE TRADERSB.SHIP BUILDERSC.AMERICAN INDIANSD.EUROPEAN EXPLORERS What are the big 3 British industries? I just need help filling in the rest of this table. I've done some, but I've been stuck for a while now. Huge thanks to anyone who can help!