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

PLEASEEEE ANSWERRRR!!!!

The graph shows the height, y, of a diver x seconds after she jumps from a 25 meter diving platform. At what approximate value of x seconds is the diver's maximum height reached?

HAVE A GOOD DAYYY!!!

Answers

Answer: x=1

Step-by-step explanation: I verified it , it’s correct

The diver's greatest height is attained at 1 second.

What is a projectile motion?

Projectile motion is the type of motion an object experiences when it is launched into the air and accelerates due to gravity. The item is the projectile, and the projectile's trajectory is its course.

Provided that the height of a diver, y, is shown on the graph x seconds after she falls off a 25-meter diving platform.

According to the provided graph, the diver's maximum height is 30 meters, and he will reach it in 1 second.

To know more about projectile motion follow

https://brainly.com/question/29280364

#SPJ6

Please Help............

Answers

Answer: number 1

Step-by-step explanation:

the radius of a well is 1.4m and its depth 35 m is half-filled with water. find the volume of water inside the drum.

Detailed and explanatory answer, to get marked brainly (should be correct too)

Answers

Answer:

≈ 108 m³

Step-by-step explanation:

You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.

In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.

Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³

9514 1404 393

Answer:

  34.3π ≈107.8 m³

Step-by-step explanation:

There is no drum, only a well with water 35/2 = 17.5 m deep. The volume of water in the well is given by the formula for the volume of a cylinder:

  V = πr²h

  V = π(1.4 m)²(17.5 m) = 34.3π m³ ≈ 107.8 m³

_____

Additional comment

If you use 3.14 for π, the volume rounded to tenths is 107.7 m³. For an answer correct to 4 significant digits, I prefer a value of pi with more than 3 significant digits.

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:

Answers

Answer: 132 hamburgers and 30 sodas

Step-by-step explanation:

x= Number of hamburgers

y= Number of sodas

1 x + 1 y = 102

1 x -1 y = 30

Eliminate y

Add the two equations

2 x = 132

/ 2

x = 66

plug value of x in (1)

1 x + 1 y = 102

132 + y = 102

y = 102 -132

y = 30

y = 30

x= 132 Number of hamburgers

y= 30 Number of sodas

Answer:

Hotdogs=36

Sodas=66

Step-by-step explanation:

X-Hotdogs

Y-Sodas

Y-30=X

Y+X=102

New equation: 102-X-30=X

Add X to both sides

102-30=2x

x=36

y=66

The top question. X= y= z=

Answers

Answer:x=76, y=76,z= 56

Step-by-step explanation:

answer answer now please​

Answers

Answer:

Well we can't answer it because you have to draw it on the graph

Step-by-step explanation:

What’s the slope of the perpendicular line that passes through (-1, 12) and (-6, 18).

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Answer:

[tex]m=-\frac{6}{5}[/tex]

Step-by-step explanation:

Which expression is equivalent to 4^-2 x 7^-2

Answers

Answer:

197/49-2x

Step-by-step explanation:

I’d like a explanation please

Answers

-0.1, 0.48, 3/4, 5/4, 4

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Note: 1 pound is about 0.45 kilograms.

Answers

Answer:

The baby weighs less then the watermelon.

Step-by-step explanation:

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon.

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon. the baby weighs less than the watermelon.

hi ok pls help me 78/90 divided by - 68/190

Answers

Answer:

-0.00006707946

Step-by-step explanation:

I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night

SmolHumanAngel here y go

Answers

Answer:

E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E

A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?

Answers

Answer:

Answer in photo

Step-by-step explanation:

So far, Charlie has driven 9.3 miles. He needs to drive a total of 29 miles. How many more miles must Charlie drive?

Answers

29-9.3= 19.7 miles left to drive.

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

Answers

Answer:

$51

Step-by-step explanation:

Answer: $51

Step-by-step explanation: you have to divide $68 by 16 to see how much it cost per square feet. Then you get 4.25 so you multiple that by 12

Each large rectangle below represents one whole.
What percent is represented by the shaded area?

Answers

Answer:

180%

Step-by-step explanation:

100% +(20%)*4=100+80=180%

If the park is shown as a square on the map, each side of which is one foot long (12 inches), how long is each side of the square park in real life? Show your thinking and solution.

Answers

hiStep-by-step explanation:

A baseball is thrown in parabolic arc its position above the ground at a given point in time can be represented by a quadratic function p(t)= 1/2gt^2 + v0t +p0 where t > 0, g is -32ft/sec/sec, V0 is additionally velocity and P0 SH initial position above the ground. If the ball is thrown straight up 16ft/sec when it was 5ft above the ground how high did it go

Answers

Answer:

13 ft.

Step-by-step explanation:

Since  p(t)= 1/2gt² + v₀t +p₀ and it us given that v₀ = 16 ft/s, p₀ = 5 ft and g = -32 ft/s².

Since the ball is thrown straight up, it does not follow a parabolic path.

So, If the ball is thrown straight up 16ft/sec when it was 5ft above the ground, then its height above the ground h(t) = v₀t +p₀. Substituting v₀ = 16 ft/s, p₀ = 5 ft , we have

h(t) = v₀t +p₀

Using v = v₀ + at, we calculate the time it takes to reach maximum height. At maximum height, v = 0, so,

v = v₀ + at

v - v₀ = at  

t = (v - v₀)/a where  a = g

So, t = (0 - 16 ft/s)/-32 ft/s²

=  - 16 ft/s/-32 ft/s²

= 1/2 s

= 0.5 s

Substituting t = 0.5 s, v₀ = 16 ft/s and p₀ = 5 ft into h(t), we have

h(t) = v₀t +p₀

h(t) = 16 ft/s × 0.5 s + 5 ft

h(t) = 8 ft + 5 ft

h(t )= 13 ft

The ball will go 13 ft above the ground.

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:640^2

Step-by-step explanation:

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2.

8cm^2+24cm^2=640^2

Can I actually get help and not people saying random stuff just for points????

Answers

Do you still need it?

please help meeeeeeeeeeeee

Answers

Answer:

x=75

Step-by-step explanation:

The total degrees of a pentagon is 540

120+120+2(75)+75+75

120+120=240

2(75)=150

75+75=150

240+150+150=540

If f(x)=x^2+3x-10, then f(10)=?

Answers

Answer:

f(10) = 120

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = x² + 3x - 10

f(10) is x = 10

Step 2: Evaluate

Substitute:                     f(10) = 10² + 3(10) - 10Exponents:                    f(10) = 100 + 3(10) - 10Multiply:                         f(10) = 100 + 30 - 10Add:                               f(10) = 130 - 10Subtract:                        f(10) = 120

This is ratios please help asap. I will give brainliest if you got it correct

Answers

Answer:

The Ratio is 12 - 3

Step-by-step explanation:

There are 12 bicycles and 3 scooters so the ratio is 12 -3 or if simplified 4-1

Answer:I say A because the ration is 12:3

Step-by-step explanation:

find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer

who knows this
A. cube root
B. square root
C. square
D. cube​

Answers

Answer:

A. Cube root

Step-by-step explanation:

please help
cube root of 31125​

Answers

Answer:

31.5 (rounded)

Step-by-step explanation:

Answer:

5 ∛249

≈ 31.45597 (In decimal form)

Step-by-step explanation:

can somebody check my answer please
I think the answer is 56 but I want to be sure :)

Answers

Answer:

yup its right

Step-by-step explanation:

7uhkt8kfd

Answer: its correct have a good day

Step-by-step explanation:

What is the answer to y=-6x-3, -8x-3y=-1.

Answers

Answer:

x=−y/6− 1/2

x= 1−3y/8

hope it helps

Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make 8 cakes?

Answers

1. 1/3 cups..... ok vthen have a good day
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