If the sides of a triangle have the following lengths, find a range of possible values for x.

LM = 6x + 3, MN = 4x - 17, LN = x + 40

Answers

Answer 1

Answer:

The range of possible values of x are;

x > 6

Step-by-step explanation:

To form a triangle, the length of two sides must be greater than the third side

Thus;

6x + 3 + 4x-17 > x + 40

6x + 4x-14 > x + 40

10x-14 > x + 40

10x-x > 40 + 14

9x > 54

x > 54/9

x > 6


Related Questions

Tasha bikes two miles.
Cory bikes 2 times as far as Tasha
Kei bikes 2 times as far as cory
which exponential question represents the distance Kei bikes
A.2 2
B 3. 2
C 2. 4
D 2 3
btw all the second numbers are supposed to be tiny numbers

Answers

Answer: A?

Step-by-step explanation:

Answer:2^3

Step-by-step explanation:

In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.

Answers

Answer:

105.3

Step-by-step explanation:

deltamath

please help fast will mark brainliest

Answers

Answer:

b (5x+4y=32) is the correct answer

Step-by-step explanation:

if it is parallel then the slop has to be the same which means you can eliminate choices a and c. then, you can plug in the points they give you to see if the statement holds true.

5x+4x

5(12)+4(-7)

60-28

32

therefore, option b is correct

Rosemary wants to buy a gift for her little brother this month, after she pays her bills. Should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.

Answers

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

21x3=63

What is 2792 + 9383790202

Answers

Answer:

9383792994

Step-by-step explanation:

I the answer is 9383792994

938,381,812 around there I did this with my head and I’m not sure if it’s correct but I hope it is

✨a Pls help I will park you as brainlist promise ✨✨

Answers

A. I am pretty sure that is right

Answer:

answer is A

Step-by-step explanation:

8/3 =   2.66666 (about 3) miles an hour

You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him

Hope this helps! :))

I'm very confused, I don't know where to even start! Please help me!!

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

Somebody can help me with this ,, I’m going to really appreciate Is function,,, Algebra

Answers

Answer: b

Step-by-step explanation:

itssssssss b :)))))))))(

At a sale, coats were sold for $76 each. If the coats originally cost $80 each, what percentage of its original price was a coat sold for?

Answers

5%, I hope this helps

Look at this graph: 100 90 80 70 60 50 40 30 20 10 Х 0 10 20 30 40 50 60 70 80 90 100 What is the slope?​

Answers

700 million trillion billion KABILLION could trillion billion reciprocal burst

BRAINLEST+THANKS!!
Thank uu

Answers

Answer:

hiiii

the question isn't seen clearly

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?

Answers

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

sqrt((1, 476 + 274(341 - 48))/2)

Answers

is this the equation ??

An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?

(150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)

Answers

Answer:ITS NOT D

Step-by-step explanation:

The component form of the velocity vector of the airplane is 150√2 mph.

What is a velocity vector?

The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.

The velocity vector is calculated as:-

[tex]\widehat{V}[/tex] = Vcos45

[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )

[tex]\widehat{V}[/tex] = ( 2 x 150 ) / √2

[tex]\widehat{V}[/tex] = 150√2 mph

Hence, the velocity vector of the airplane is 150√2 mph.

To know more about velocity vectors follow

https://brainly.com/question/626479

#SPJ2

PLS HELP ASAP THIS IS EASY

Look at the trapezoid shown below. Which transformation carries the trapezoid onto itself ?

A) a reflection across the line y = 0

B) a rotation of 180 ° about the point (- 1, 0)

C) a rotation of 180 ° about the origin

D) a reflection across the line x = - 1

Answers

Answer: D

Step-by-step explanation: a reflection across the line x=-1

the difference of two numbers is 72 and their quotient is 10 plz help

Answers

Answer:

The numbers would be 80 and 8

Step-by-step explanation:

Hope this helps

Answer:

We have, x - y = 72

    and, x = 10y

so, 10y - y = 72

         y = 8

so, x= 80

Step-by-step explanation:

6. A rental car agency charges $240 per week plus $0.25 per mile to rent
a car. The charge for a minivan is $180 per week plus $0.40 per mile.
After how many miles is the total charge for each vehicle the same?

Answers

Answer:

400 Miles

Step-by-step explanation:

Set up the equations and make them equal to each other and then solve.

240+0.25m=180+0.40m

Answer

400 miles

Step-by-step explanation:

After 400 miles, both will be costing the same, you first create an equation with the values you have, for example, 240 + .25x and you either graph them and find the intersection or guess and check.

A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y

Answers

Answer:

$7 total

Step-by-step explanation:

$5 + $2 = $7

I WILL GIVE YOU BRAINLIEST PLEASE HELP!!!! which statement best describes the functions represented in the table?

Answers

C would be your answer

Answer:

C. Both functions are nonlinear but only function p is exponential.

Nick is buying juice for himself and 5 friends. Each bottle of juice costs $1.25. How much do 6 bottles of juice cost? Complete the table to find the cost of 6 bottles of juice.

Answers

Answer:

$7.5 for six boxes of juice

Step-by-step explanation:

1.25 times 6=7.5

Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How many Legos did Thomas use for his tower? Write you answer in a complete sentence.

Answers

Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

Can someone help me please

Answers

X=7




Explanation:

A triangle equals 180°, and they gave us one length already, and it says the one arm of the triangle is equal to the other so we know that the third angle is going to be the same as the second angle.


180=90+(6x+3)+(6x+3)
Combine like terms
180=96+12x
Subtract 96 from both sides
84=12x
Divide 12 by both sides
7=x


Now check it,

90+(6*7+3)+(6*7+3)
90+(45)+(45) =180

3x + 5 = 2x + 7 What should you do first to isolate the variable?

Answers

Answer:

you can subtract 2x from both sides

Then subtract 5 from both sides.

x = 2 is what the equation gives you

Step-by-step explanation:

You can do one of two things.

1. You can subtract 2x from both sides of the equation

or

2. You can subtract 5 from both sides of the equation.

Either one will give you the correct answer.

3x - 2x + 5 = 2x - 2x + 7    Combine the xs

1x + 5 = 7                             Subtract 5 from both sides.

x + 5-5 = 7-5

x = 2

Answer:

subtract the lowest variable from the highest variable.

Step-by-step explanation:

3x+5=2x+7

1x+5=7

add the 5 to the 7

12

divide 12 and the 3x

Answer: 4.

x=4

can someone tell me whats 3\4x5\6 is im dum

Answers

Answer:

15/24

Step-by-step explanation:

hope this helps u.

Answer:

15/24

Step-by-step explanation:

whats the worlds biggest number ?

Answers

The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.

Have a Merry Christmas!

Q1147 11487 Laito 58 Primary 0914211068 to!
850010 Addis Abebo emosional dengele:
Subject: Maths
Name
Grade 7
2020/2021 AY
Full Date
cancriting
A minimum of 3 marks will be deducted for Neainess
HITE TRUE IF THE STATEMENT IS CORRECI AND FALSE IF ITS WRONG
1. Adjacent side is a line segment that connects two opposite vertices​

Answers

Answer:

TRUE I REALLY HOPE THIS HELPS YOU OUT

Step-by-step explanation:

what is the answer to the question?​

Answers

Answer:

17

Step-by-step explanation:

We have two congruent triangles here.  Thus, b must be 17.

Answer:

17

Step-by-step explanation:

sides r congruent

You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation

Answers

Answer:

x > 2

y ≥ 2

x + y ≤ 8

Step-by-step explanation:

Here, we want to write a system of equations according to the given variables

More than means, greater than

since x is the variable we want to use;

x > 2

At least 2 hours means greater than or equal to 2

That is mathematically represented as;

y ≥ 2

At most means less than or equal to

So;

x + y ≤ 8

Convert 56,000,000,000 from standard to scientific notation form.
Help pls

Answers

Answer:

5.6 * 10^ 10

Step-by-step explanation:

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