Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6x units, and AB = 2x + 4 units

Answers

Answer 1

Answer:

7/4 < x < 11/2

Step-by-step explanation:

PLATO

Answer 2

Inequality which ensure triangle exists is 22 > 4x > 7.

What is inequality ?

" Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Theorem used

In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get,

  [tex]AB + BC > AC[/tex]

⇒[tex]2x + 4 + 6x > 18[/tex]

⇒[tex]8x > 18 - 4[/tex]

⇒ [tex]8x > 14[/tex]

⇒ [tex]4x > 7[/tex]                                    ___(1)

[tex]AC + AB > BC[/tex]

⇒ [tex]18 + 2x + 4 > 6x[/tex]

⇒ [tex]22 > 6x-2x[/tex]

⇒[tex]22 > 4x[/tex]                                   ____(2)

From (1) and (2) inequality of triangle we get,

[tex]22 > 4x > 7[/tex]

Hence, Inequality which ensure triangle exists is 22 > 4x > 7.

Learn more about inequality here

https://brainly.com/question/20383699

#SPJ2


Related Questions

Chef Morgan's restaurant has 24 tables 15 of the tables have one flower and each base the remaining tables have five flowers in each face how many flowers are there

Answers

The correct answer is

60 Flowers

To raise money for children's charity, a company is selling hot air ballons rides.The cost of going on a ballon ride is a flat rate of $50 plus $15 per hour of flight time.If Mrs.Beckham plans to donate at most $85,find the number of hours she can spend on a ballon ride.

Answers

Final answer:

To find the number of hours Mrs. Beckham can spend on a balloon ride, set up and solve an inequality using the given information.

Explanation:

To find the number of hours Mrs. Beckham can spend on a balloon ride, we need to set up an equation using the given information. The cost of the ride is a flat rate of $50 plus $15 per hour of flight time. Let's assume the number of hours Mrs. Beckham can spend on the balloon ride is x. So, the equation becomes 15x + 50 ≤ 85. Now, we can solve this inequality to find the maximum number of hours.

Subtracting 50 from both sides gives us 15x ≤ 35. Dividing both sides by 15, we get x ≤ 35/15 which simplifies to x ≤ 7/3. Since x represents the number of hours and it cannot be negative, the maximum number of hours Mrs. Beckham can spend on a balloon ride is 2 hours.

Please help! Will give Brainliest!

Answers

Answer:

x= 15 or 15/1

Step-by-step explanation:

X or 15 times 1/3 equals 5.     5 times 4 equals 20.

Find the sum of the given polynomials.

3x 2 + 2x - 5 and -4 + 7x 2

1. -x2 + 9x - 9
2. 21x2 + 2x + 20
3. 10x2 - 5x - 1
4. 10x2 + 2x - 9

Answers

Number 4 is your answer

Answer:

the real answer is 10x^2 + 2x − 9

4 shirts for $32.00 rate and unit rate

Answers

8 per shirt, 8 per shirt

Answer:

Rate: $32 per 4 shirts.

Unit rate: $8 per shirt.

Step-by-step explanation:

We have been given that 4 shirts for $32.00. We are asked to find the rate and unit rate for given situation.

The rate of the given scenario is $32 per 4 shirts.

To find the unit rate, we will divide total cost by number of shirts as:

[tex]\text{Unit rate}=\frac{\$32}{4\text{ shirt}}[/tex]

[tex]\text{Unit rate}=\frac{\$8}{\text{ shirt}}[/tex]

Therefore, unit rate is $8 per shirt.

Even though there’s a homework help button it doesn’t help me one bit I need help rn☠️

Answers

There are 10 marbles total.


You picked a marble and replaced it 50 times, so you have:


9/50 were purple


16/50 were orange


6/50 were yellow


19/50 were green



Multiply those by the number of marbles:


10*9/50 = 1 4/5 purple, round to 2


10*16/50 = 3 1/5 orange, round to 3


10*6/50 = 1 1/5 yellow, round to 1


10*19/50 = 3 4/5 green, round to 4


2+3+1+4 = 10  


So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.




A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.

Answers

Solution-

The given statement,

the mean life of a certain type of alkaline battery is no more than 63 months.

Every hypothesis test carries two opposing statements, or hypothesis, about a population parameter. The first hypothesis is called the null hypothesis.

Null hypothesis always states that the population parameter is equal to the claimed value.

If the null hypothesis is rejected, then the alternative hypothesis is going to be claimed.

[tex]\text{Null hypothesis}=H_0:\mu =63[/tex]

[tex]\text{Alternative hypothesis}=H_1:\mu >63[/tex]

In this case, the alternative hypothesis is the claim.

Final answer:

The null hypothesis states that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis states that the mean life of the alkaline battery is less than 63 months.

Explanation:

The null hypothesis, denoted as H0, is the statement that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis, denoted as Ha, is the statement that the mean life of the alkaline battery is less than 63 months. The claim in this case is the alternative hypothesis Ha.

Which statement about this equation is true?



5(n+10)=5n+10n



The equation has one solution.

The equation has no solution.

The equation has a few solutions.

The equation has many solutions

Answers

The equation has no solution because:

5(n+10)=5n+10n
5n+10n=5n+10n
I subtract 5n from both sides
10n=10n
Only one side is supposed to have the variable which is n, so the equation has no solution.

Solve for x. x+2/3=−1/6 Enter your simplified answer in the box. x =

Answers

Im pretty sure your awnswer will be, x=−5/6




Subtract 2/3 from both sides.

x+2/3−2/3=−1/6−2/3

x=−5/6




Best of luck, terribly sorry if im wrong if i am my apologies





~Animaljamissofab ♥

help me plz !!!!!!!!!!!!!!!!

Answers

the three in the answer should be a 4. otherwise it would be 12 not 16

Which ordered pair is a solution of the equation?

y=-3x-4
Choose 1 answer:

(Choice A)
A
Only (-2,4)

(Choice B)
B
Only (-3,5)

(Choice C)
C
Both (-2,4) and (-3,5)

(Choice D)
D
Neither

Answers

It’s B because 5 = -3(-3) - 4
5=9-4
Just plug in the numbers and see what works

Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.

Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].

the options are

[tex](-2,4)[/tex]

in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:

[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.

[tex](-3,5)[/tex]

in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:

[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.

2 x + y equals negative 9

Answers

Answer:

2 x + y = 9

Hope this helps :-)


2x + y = -9
To find y:
Subtract 2x from both sides
y = -2x -9

are the fractions 3/5 and 12/15 equivalent or not and why

Answers

Well, the fraction 3/5 is in its simplest form, however, 12/15 is not. The fraction can be further simplified.

First, find out what the largest number that can fit into both the denominator (15) and numerator (12) perfectly. This number would be 3.

Next, divide 3 by 12 (which equals 4) and 3 by 15 (which equals 5). This gives you 4/5. The simplest form of the fraction 12/15.

4/5 is larger than 3/5, therefore the answer would be that they are not equivalent.

The fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.

Recall:

Fractions that are equivalent are equal regardless of their numerators and denominators.

Thus, given the fractions, 3/5 and 12/15,

12/15 does not equal 3/5

This is why:

12/15 when reduced further will give us: 4/5 if we divide both the denominator and numerator by 3.

Thus:

4/5 is not equal to 3/5

Therefore, the fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.

Learn more here:

https://brainly.com/question/20865580

What is the correct factorization of x2 + 5x – 6?PICK THE RIGHT ONE (x – 1) (x + 6) (x + 1) (x – 6) (x – 2) (x – 3) (x – 2) (x + 3)

Answers

Hey there!!

Given equation :

... x² + 5x - 6

... x² + 6x - x - 6

... x ( x + 6 ) - 1 ( x + 6 )

... ( x - 1 ) ( x + 6 ) is the answer.

Hope my answer helps!!

true of false the first distribution shown below has a smaller standard deviation than does the second distribution. 11,12,13,14,15,16,17,18,19,20,21,22,111,112,113,114,115,116,117,118,119,120,121,122

Answers

false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.

Answer:

False

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}[/tex]

where, [tex]\bar{x}[/tex] is mean of the distribution.

Here, First distribution is 11,12,13,14,15,16,17,18,19,20,21,22

and Second distribution is 111,112,113,114,115,116,117,118,119,120,121,122

The mean of first distribution is 16.5

and mean of second distribution is 116.5

So the standard deviation of first distribution is 3.605

and the standard deviation of second distribution is 3.605

Hence, standard deviation is same for both distribution.

Hannah reads at a constant rate of 3 pages every 8 minutes.
Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading.

Answers

Answer:

[tex]m=\dfrac{8}{3}p[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]

The equation is:

number of pages=reading speed×number of minutes

          p               =          3/8          ×                  m

The correct answer is

p=3/8 m

In a 72 room, I poured 180 coffee into a mug at 7:30 am and it reached 150 after 2 minuter find the constant of cooling for the coffee.

Answers

It cools at 15° per minute

13 + 11s = -15 + 8s − 20

Answers

Answer,

S = -16

Explanation,

Step 1: Simplify both sides of the equation.

13 + 11s = − 15 + 8s − 20

13 + 11s = − 15 + 8s + − 20

11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)

11s + 13 = 8s + − 35

11s + 13 = 8s − 35

Step 2: Subtract 8s from both sides.

11s + 13 − 8s = 8s − 35 − 8s

3s + 13 = − 35

Step 3: Subtract 13 from both sides.

3s + 13 − 13 = − 35 − 13

3s = − 48

Step 4: Divide both sides by 3.

3s/3 = −48/3

s = -16


Hope this helps :-)


I need help on this one!!

Answers

We know 15 minutes contain 15*60 = 900 seconds, the time for 85 blinks

Then the time for each blink t = 900/85

Time elapsed in seconds for 51 blinks is then 51*t = 900*51/85 = 540 seconds

As the answer wants to know the seconds, find the seconds. 15 * 60 = 900. We know he blinks 85 times in 900 seconds, so divide 900 by 85 to find the rate at which George blinks. 900 / 85 = 10.588. Multiply 10.588 by 51 to find the number of seconds for 51 blinks. 51 * 10.588 = 539.988.

What is the answer?

Markers are sold in boxes, packs, or as single markers.Each box has 10 packs. Each pack has 10 markers

Answers

There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100

Well each box has 100

but I don't understand what answer you are talking about. Sorry

8. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 22 hours of work, the paycheck is $126.50. Write an equation for the relationship between hours of work and pay.

Answers

First you would need to find out how much there are paid by the hour, which in this case is $5.75. So the equation would be 5.75t = p, then insert the 22 hours of work to the equation 5.75(22) = p, last solve the answer by mutiply the 5.75(22) which equals 126.50. .

fill in the blank to make the two fractions equivalent.

Answers

The answer is 20. Its there but erased
7*5=35 ,so you must do the same with the numerator to make it equal it would be 4*5=20. The Answer is 20/35

Lesson 7 add three digit numbers 178+99= estimate

Answers

178+99=277

you can estimate

200+100=300

or

180+100=280

depends on what your teacher is looking for

Our exact sum is 277.

Understanding Addition of Three-Digit Numbers

When it comes to adding three-digit numbers such as 178 and 99, it's essential to align the numbers by their place values before adding. This aligns ones with ones, tens with tens, and hundreds with hundreds. An estimate helps to quickly determine an approximate sum before or after performing the addition.

Example Calculation:

To add 178 and 99, place them in vertical alignment:

7 (tens) + 9 (tens) + 1 (carried over) = 17. Write down the 7, carry over 1 to the hundreds place.

1 (hundred) + 1 (carried over) = 2.
So, the sum is 277.

To estimate the sum of 178 and 99, you could round 99 up to 100 for easier calculation. The estimated sum would then be 178 + 100 = 278, which is very close to our exact sum of 277.

Sketch a graph that has the following characteristics

A. Crosses the Y axis at (0, 4)

B. Increases in the interval -12 ≤* ≤-2

C. Consistent in the interval -2 ≤* ≤2

D. Decreases in the 2 ≤* ≤12

Answers

Answer with explanation:

Draw the Coordinate plane, that is x y , plane and mark positive and negative natural number on both x and y axis.

⇒Meaning of increasing is, if ,

a > b, then f(a) > F(b)

⇒And, Meaning of decreasing is, if

a > b, then f(a) < f(b).

⇒Meaning of Consistent is

, Either of that is, a > b or a < b,

 f(a) = f(b)

Final answer:

To sketch the graph, start on the y-axis at the point (0, 4). Then, increase the graph from -12 to -2, keep it consistent from -2 to 2, and decrease it from 2 to 12.

Explanation:

To sketch a graph with the defined characteristics, follow these steps:

The point where the graph crosses the y-axis is (0, 4). Therefore, start your graph at this point.From -12 to -2, the graph increases. Feel free to choose the steep part of the curve, but ensure that it consistently goes up in this range.Between -2 and 2, the graph is consistent. That means it should neither go up nor down, ideally, your graph should be a straight line within this interval.Finally, in the interval from 2 to 12, the graph decreases. Again, you can decide how steep the curve should go, but ensure it is consistently moving downwards in this range.

Learn more about Sketching a graph here:

https://brainly.com/question/2263950

#SPJ3

George ran 1000 yards in gym class. how many kilometers did he run?

Answers

He ran 7 kilometers.

Compare and contrast these two forms of government:
- Autocracy
- Democracy

Answers

Compare and Contrast? Yay!

Autocracy

-People have no say in what the dictator or monarch does

-Barely any rights

Democracy

-People have many rights and much say

-Citizens many rights


In Common

-Both have a type of leader (demo.=Pres.  auto.=dictator or monarch)

-Have two different types of it (demo.= direct and representative  auto=dictatorship and monarcy)


Hope this helped :P

Final answer:

Autocracy and democracy are two forms of government that differ in power distribution and decision-making.

Explanation:Autocracy

Autocracy is a form of government where power is concentrated in the hands of a single ruler or leader. In an autocracy, all major decision-making authority rests with this ruler, who typically exercises unlimited power. Examples of autocracies include absolute monarchies and dictatorships.

Democracy

Democracy is a form of government where power is vested in the people, who exercise it through elected representatives. In a democracy, citizens have the right to participate in the decision-making process through voting and other forms of political participation. Examples of democracies include the United States and many European countries.

Comparison and Contrast

An autocracy and a democracy differ in terms of power distribution and decision-making. In an autocracy, power is concentrated in the hands of a single ruler, while in a democracy, power is distributed among elected representatives and the people. Autocracies often lack the system of checks and balances present in democracies, which can lead to abuses of power. Democracies, on the other hand, prioritize participation and representation, allowing citizens to have a say in the government.

Learn more about Forms of government here:

https://brainly.com/question/19672490

#SPJ3

In one week, a campground rented 18 cabins at $225 each. About how much did they collect in rent altogether?

Answers

$4050, multiply 18 by 225 for your answer

How do I describe each pattern in words
13, 23, 33, 43

Answers

the pattern is added in 10 like 13 + 10=23

Gotcha!

As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.


What is the difference between a linear function and a nonlinear function? And what each looks like when represented as a table and as a graph

Answers

A linear function has points leading up or down in more of a line.  nonlinear is more scattered.                                                                                                                             Hope this helps!

Answer:

Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.

A linear function has a constant additive rate of change.

A nonlinear function does not have a constant additive rate of change.

The graph of a linear function is a straight line, while a nonlinear graph is curved.

The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.

Step-by-step explanation:

Choose the point-slope form of the equation below that represents the line that passed through the point (6,-3) and has a slope of 1/2
A. Y-6=1/2(x+3)
B. Y=1/2x-6
C. Y+3=1/2(x-6)
D. X-2y=12

Answers

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

y - y₁ = m(x - x₁)

x₁ = -3

y₁ = 6

m = 1/2

y - (6) = (1/2)(x - (-3))

y - 6 = 1/2(x + 3)

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

Other Questions
What is 24.16 rounded to the nearest tenth?? the ancient Hebrews established a civilization near what location suppose you earn $6 per hour at your pat-time job. what will your new hourly rate be afer a 2.5% rise? Explain What is a ziggurat and the purpose Last month, Carter ran 48 miles. This was 60% of his goal. How many miles did Carter set as his goal? The cell model below shows 2 solutions separated by a selectively permeable membrane indicated by the red dashed line. What will most likely occur in this case?The number of molecules on side A will increase and decrease on side BThe water level on side A will increase, but remain the same on side B.The water level will increase on side B and decrease on Side A until concentrations are equalized.The water level and number of particles will equalize on both sides of the membrane. Write the unknown number for n. 5.28-3.4=n which composition can be best described as a medieval secular composition with original melodies that accompany a tenor line?a) madrigalb) chanson de gestec) plainsongd) motet What is the most expressive part of your body face or hands you get 17 out of 22 correct on a math test what is your percent of correct answers Will mark brainliest helpppp :(( which is an equation of the line with a slope of 1/4 and a y-intercept of -2 which best identifies a cause of the children decision to leave the cat behind? Bachelor's degrees are awarded by A sample of gas has a mass of 827 mg . Its volume is 0.270 L at a temperature of 88 C and a pressure of 975 mmHg . Find its molar mass 125.5 m/s to km/hr...Answer and Explanation PLEASE HELP WILL GIVE BRAINLEST!!! 5 STARS AND THANKSNew Technology Leads to Bigger Cities In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas. Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall. The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas. As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization. In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents. The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail. what is the concentration of a NaCl solution, in Molarity, if you add 59.76 g of NaCl into 270 mL of H2O Physics Question, Please Help:Which of the following can you determine from the graph of the force of the sun on a comet? A) The force increases as the distance decreases.B) The force is sometimes zero.C) The force decreases as the distance decreases.D) The force does not depend on the distance. On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75%, percent of the length it was on Monday.