Consider the following triangle side lengths and determine if the triangle could exist. Justify your answer. Part A: 21,18,17 Part B: 3,12,8

Answers

Answer 1

Answer:

A yes, B no

Step-by-step explanation:

The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.

A Given 21, 18, 17 , then

21 + 18 = 39 > 17

21 + 17 = 38 > 18

18 + 17 = 35 > 21

Thus the triangle could exist

B Given 3, 12, 8 , then

3 + 12 = 9 > 8

3 + 8 = 11 < 12 ← fails the test

Thus the triangle does not exist


Related Questions

The diagram below shows the construction of an equilateral triangle Which statement justifies this construction?

Answers

Answer:

3)

Step-by-step explanation:

AB = AC = BC

In equilateral triangle, all the sides and angles are equal. Here the diagram is constructed using the sides.

Answer:

#3

Step-by-step explanation:

I think number two because it is the direct line pattern of 3. If you look at the bend it would go AB,AC,BC.

I need help please ​

Answers

Answer:

The value of the expression when x = -1 and y = 2 is -16.

Step-by-step explanation:

Firstly, let's look at [tex]x^{3}[/tex].

As the question provides, the value of x is -1. Therefore, we have to find the value of [tex](-1)^{3}[/tex], which is -1.

Now, moving onto [tex]y^{2}[/tex].

The question provides us with y = 2. Simply substitute this value into [tex]y^{2}[/tex], and we get [tex]2^{2} = 4[/tex].

Finally, concluding the equation, we get 4(-1)(4). That is equal to -16, which is our answer.

Hope this helped!

Answer:

4×1×3×2×2

4×3×2×2

12×2×2

24×2

48 ans

How are the areas of triangles and parallelograms in the coordinate
plane calculated?

Answers

Answer:

___________________________________________________________

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

___________________________________________________________

HURRY I NEED HELP QUICKLY
-7 2/3 + (-5 1/2) + 8 3/4

Answers

Answer:

It would be -4 5/12 or -4.416

Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?

Answers

Answer:

826

Step-by-step explanation:

82.6 x 10 to the power of 2 :

8.26 * 10^2

8.26 * (10 * 10)

8.26 * (100)

= 826

what is the reciprocal of 3/ 8 in a b form

Answers

Answer:

8/3

Step-by-step explanation:

HELP!!

Find the solution of this system of equations
x - y = 4
- 10x + y = -58

Answers

Answer:

Step-by-step explanation:

given: x-y = 4

x=4+y

given: -10x + y = -58

plug in for x

-10(4 + y) + y = -58

-40 - 10y + y = -58

-9y = -18

y = -18 / -9

y = 2

now plug in 2 for y in the first equation

x-2=4

x=6

There is the solution  x=6, y=2  :)

HELP
Please
Please
im failing

Answers

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

There are 7 boxes stacked on the floor in the math department supply closet. Each box has a height of 10 inches or 8 inches. The height of the stack of 7 boxes is 5 feet. How many boxes in the stack are 8 inches in height?

Answers

Answer:

5 of the 7 boxes are 8 inches in height

Step-by-step explanation:

Mathematically;

1 ft = 12 inches

So, 5 ft will measure 5 * 12 = 60 inches

So from what we have ,

We want to combine 8 and 10 inches to give 60 inches total

Let the number of 10 inches be x and the number of 8 inches be y

Mathematically;

x + y = 7 •••••(i)

10x + 8y = 60 ••••(ii)

From equation i, x = 7-y

Put this in equation ii

10(7-y) + 8y = 60

70-10y + 8y = 60

70-60 = 10y-8y

2y = 10

y = 10/2

y = 5

2.20E17 in kilograms

Answers

Answer:

2.20E17 is 220,000,000,000,000,000 kg

Solve please: 7(3x+1)=35

Answers

Answer:

x=

Step-by-step explanation:

PEMDAS:

35/ 7

3x+1 = 5

3x= 4

x= 4/3

Answer: x=4/3

Step-by-step explanation:

1. Distribute

7(3x+1)=35

21x+7=35

2. Subtract 7 from both sides of the equation

21x+7=35

21x+7-7=35-7

3. Simplify

Subtract the numbers

Subtract the numbers

21x=28

4. Divide both sides of the equation by the same term

21x=28

21x/21 28/21

5. Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=4/3

NEED HELP ASAP!!!!!!!!!!

Answers

Answer:

the question is missing

Step-by-step explanation:

Answer:

with what? there is nothing attached.

what is the product? 7⋅(−3)
A 21
B -21
C 4
D 10-

Answers

The correct answer:

b. -21

Yesterday, Jack drove 35 1/2 miles used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

Answer:

28.4 miles/gallon

Step-by-step explanation:

to find the answer, you need to find the constant by dividing the miles drove by the amount of gasoline (or the other way around in terms of wording if it is not correct grammar) So you need to do 35.5/1.25 .  FYI I converted the fraction to decimal. The answer is 28.4 miles/gallon.

Hope this helped!! :)

There are 5 ten-pound bags and 8 twenty-pound bags of rice on a shelf. How many pounds of rice are on the shelf?
Group of answer choices

Answers

Answer:

(8×20)+(5×10)=210

8×20=160

5×10=50

Step-by-step explanation:

5 ten pounds would be 50 pounds. Just count by 10s and you get 50. 8 twenty pound bags would be 20x8 and it =160. Add 160 and 50 and you get 210. Hope this helps you! It’s a easy question once you get the hang of it. Keep trying!

the present age of the father is twice HD old is the age of its own three years hence if two years hence the age of the father will be thrice as old as the age of this 11 years ago find your age before one before 5 years​

Answers

Big sundi and more bigger with spice

i need serious help ASAP

Answers

Answer:

1. 1/2

2. 1/2 each month

3. 8 months

Step-by-step explanation:

Because its on the chart.

It costs Linus a processing fee of $45 to set up a new cell phone account with AT&T plus $65 per month for the cell phone plan. His sister, Lucy, also wants to use the cell phone to call her friends each month. Lucy agrees to pay Linus $15 towards the processing fee and tells him she will pay $20 per month.

Define a variable.

Write an expression that represents how much Linus will have to pay for the cell phone if Lucy contributes.


Determine how much Linus will pay if he has the cell phone for 6 months.

Answers

Answer: 110-35=x

answer: 7 minutes

I came here to find the answer to this proble but since no one answered I’ll just put the answer that I got.

Step-by-step explanation:

Can someone please help me with B it’s a 1 Mark question!!!!!!!!!!!HELP

Answers

Answer:

137°

Step-by-step explanation:

Basically, its the reverse of question 1.

With angle x, you can find out that the opposite angle is 360 - 106 = 254°

the angle is twice the size of angle y as said in the corcle theorems.

254 divided by 2 = 137°

(please correct me if im wrong, i feel like im missing something)

Yeah that one is right

Luke ate a snack with 91 total calories. If the chips he ate were 41.2 calories, how many calories were in the rest of his snack?

Answers

Answer:

49.8

Step-by-step explanation:

91-41.2

(04.01)Which unit rate is equivalent to 15 miles per gallon?

thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons

Answers

Answer:

Basically, it is asking what fraction equals 15 / 1 ?

And the answer is 60 miles / 4 gallons

Step-by-step explanation:

Jenn pays $7.99 each month for her music streaming subscription, $10 per month for her Netflix subscription, and 9.99 per month for her xBox live subscription. How much money has she spent on these three subscriptions in the last 9 months?

Answers

251.82 has been spent over the last 9 months
The answer is $251.82

Do Now percent
Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% Increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.
Welcome te curate
DIGITAL STREAMING OF MUSIC
$8.75
per month

Answers

Answer:

HAPPY NEW YEAR PO!

Step-by-step explanation:

happy new year po!

Solve and describe the graph of the inequality: 5x < 45

Answers

Answer:

5x<45 Divide both by five which results in the equation looking like this:x<9. On a number line, there would be an open circle on the nine and the arrow would go to the left.

Step-by-step explanation:

The solution set is x<9 of inequality 5x<45.

What is an inequality?

A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

5x<45

divide by 5

x<9

The graph is the shaded region below x =9.

Therefore, the solution set is x<9. And the graph is given.

To learn more about the inequality in mathematics;

brainly.com/question/28823603

#SPJ2

What is the solution to the equation? 4x - 8 = 16
need this at least by tomorrow!
thank you!​

Answers

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x - 8 = 16

Step 2: Solve for x

Add 8 to both sides:                    4x = 24Divide 4 on both sides:               x = 6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                   4(6) - 8 = 16Multiply:                              24 - 8 = 16Subtract:                             16 = 16

Here we see that 16 does indeed equal 16.

∴ x = 6 is the solution to the equation.

Answer:

x=6

Step-by-step explanation:

4x-8=6

4x-8=16+8

8

4x=24

4x=24

4 4

x=6

Calculate the value of the expression.

60 - (-80)

Answers

Answer:

140

Step-by-step explanation:

60 - (-80) = 60 + 80

Answer: It’s 140
Hope this helped!

simplify as a monomial 84a^4/-42

Answers

[tex] \frac{ {84a}^{4} }{ - 42} [/tex]

[tex]-2 {a}^{4} [/tex]

The greatest number of bat bags the coach can buy with $605 is
Choose...(10,11,12,13) .
She needs to buy
Choose...(10,11,12,13)
bat bags. The coach
Choose...(does not, does.)
have enough money to buy a bat bag for each player.

Answers

Answer:

11

12

does not

Step-by-step explanation:

If we know how much money the coach has and how much each bag costs we can find out how much bags the coach can by by divide the money the coach has by the price of one bat bag. So we do....

605 / 55 = 11

So now we know that she can by 11 bags maximum, while she needs 12 bags for the team. From this we know that she does not have enough money to buy 12 bags.

PLEASE HELP!!!!!!!!!!!!!!!
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly

Answers

Answer:

2400 is your answer hiycguvh

ignore the answer chosen but does anyone know the answer to this pls asap!!

Answers

Answer:

The diagonals bisect each other

Step-by-step explanation:

2s = 10    s+5 = 10      FJ = JH

t+12 = 18   3t = 18    EJ = JG

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