Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no​

Answers

Answer 1

Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

Answer 2

The lengths which can be side of triangle are:

8, 9, 106, 9, 8

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

Learn more about Triangle Inequality here:

https://brainly.com/question/22559201

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Related Questions

The box plot shows the number of home runs hit by 43 players during a baseball season which stament best describes the data

Answers

The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.

Hope this helps!

A square picture frame has a perimeter of 32 inches. What is the length of the diagonal of the picture frame?

Answers

Answer:

The diagonal length is the square root of 128 so 11.31 inches

After the community clean up, the ecology club collected all the empty drink containers. There were 40 more 5 cent deposit containers than 10 cent deposit containers. If the club received $24.80 from the recycling center, how many 5 cent deposit containers did they have?

Answers

they had 288! 24.8/10 is 248, +40 is 288!

The number of 5-cent deposit containers the ecology club collected is 192.

What are the linear equations that represent the question?

a - b = 40 equation 1

0.05a + 0.1b = $24.80 equation 2

Where:

a = number of 5-cent deposit containers b = number of  10- cent deposit containers.

How many  5-cent deposit containers were collected?

The first step is to multiply equation 1 by 0.1

0.1a - 0.1b = 4 equation 3

Add equation 3 and equation 1

$28.80 = 0.15a

a = $28.80 / 0.15

a = 192

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Which of the following is a statistical question?
A.
How many pages did Barry read last night?
B.
How many siblings does James have?
C.
How many miles does an elephant walk in a day?
D.
How old is Alisha?

Answers

Answer:

b

Step-by-step explanation:

Answer:

D.how old is Alisha

Step-by-step explanation:

A statistical question is something that can be answered by collecting data. For example how old am i? is not a statistical question.

elena bought 49 packs of red balloons, 66 packs of blue balloons, and 35 packs of yellow balloons. each pack contains 12 gallons. How many balloons there altogether? How many more red were balloons were there than yellow balloons?

Answers

Answer:

First, let's add 49 + 66 + 35 = 150 packs of balloons.

Each pack has 12 balloons, so 150 x 12 = 1800 balloons.

Step-by-step explanation:  

 

Una pelota sale disparada desde el nivel del suelo, con una velocidad de 40 m/s y un ángulo de elevación de 50°. a) Calcule la altura máxima que alcanza la pelota

Answers

Respuesta:

Los 47.85m

Explicación paso a paso:

Altura máxima = u²sin²Ф / 2g

Dado

velocidad u = 40 m / s

Ф = 50 °

g = 9,81 m / s²

Sustituir'

H = 40²sin²50 / 2 (9,81)

H = 1600 (0,7660) ² / 19,62

H = 1600 (0,5868) /19,62

H = 938,8096 / 19,62

H = 47,85 m

Por lo tanto, la altura máxima es de 47,85 m.

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.

Answers

Yooooooooooooo iky yoooio we go to the same

Answer:

lol

Step-by-step explanation:

can someone please help me find the domain and range

Answers

Answer:

got u

Step-by-step explanation:

domain is all real numbers

range is -2

Answer:

Domain: (-∞,∞)

Range: [-2,∞)

Step-by-step explanation:

The domain is (-∞,∞) because any real input for x works for any output of y.

The range is [-2,∞) because no y-value can be less than -2 for any real input x, but the range does include -2 (for example if x=3).

IN DESPERATE NEED OF HELP!!!! TIMED TEST!!! WILL GIVE BRAINLYEST!! No links or I will report u

Answers

Answer:

a) Slope is -4/3 y-intercept is 2

b) Slope is 2 y-intercept is -1

Step-by-step explanation:

y=mx+c

m=gradient (or in this case slope)

c=y-intercept


What is the range of the following graph? Please don’t put down any links.

Answers

Answer:

[-4, infinity)

Step-by-step explanation:

The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.

Which of the following could be a zero of f(x)=x4-10x3+35x2-50x+24​

Answers

Answer:

this answer is

Step-by-step explanation:

Invisible

there are 400 3rd graders,4th,and 5th graders if 187 of the students are 3rd graders and 99 of the students are 4th graders,how many students are 5th graders

Answers

Answer:

144

Step-by-step explanation:

brainliest plz it would really help out

Answer: 114 5th graders

Step-by-step explanation:

400 total

187 3rd graders

99 4th graders

187 + 99 = 286

400 - 286 = 114

Which expression is equivalent to

Answers

Answer:

it is not clear i cant see well the question

Step-by-step explanation:

Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that apply .

Answers

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Which General won the Battle of Gettysburg?

Answers

Answer: The Cautious Meade

Battle of Gettysburg: Aftermath and Impact

The Union had won the Battle of Gettysburg. Though the cautious Meade would be criticized for not pursuing the enemy after Gettysburg, the battle was a crushing defeat for the Confederacy.

Hope this helped<3.

-6x+48=60
-48
-6x=12/-6
where does 12 come in ?

Answers

Answer:

from the police department -_-

Step-by-step explanation: sike they subtracted 48 from 60 they put the -48 on the wrong side


HELPP find the area of this shape / will mark brianliest

Answers

Answer:

222 cm

Step-by-step explanation:

To find the area of the square we multiply length and height.

15x12 = 180

For the triangular part of the trapezoid we multiply height by width and divide by 2.

12x7 = 84 / 2 = 42

Add the two sums and we get 222 cm.

180 + 42 = 222

need help solving this

Answers

Answer:

22 km

Step-by-step explanation:

Well if sides of the triangle are 20 km and 21 km then it has to be 22 km

. Jada is standing 10 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55 ° . Find the height of the nest.

Answers

the answer is 14.3.

Shonda earns $10 per hour at Sneakers Plus. She is also paid a $2 commission on every pair of sneakers she sells. How much did Shonda earn if she worked 6 hours and sold 9 pairs of sneakers?

Answers

Answer:

78

Step-by-step explanation:

6*10=60

2*9=18

60+18=78

What is the value of c?

Answers

Step-by-step explanation:

d=100° <------opposite angle of a parallelogram are equal

then c=96°

Use the distributive property to expand the following expression. Then combine the like terms.
-3(-2b + 5a + 7n - 10a + 6n +4a)
(please help me!!)

Answers

Answer:

6b + 3a - 39n

Step-by-step explanation:

Expanding using the distributive property :

-3(-2b + 5a + 7n - 10a + 6n +4a)

Multiply all values in the bracket by - 3

6b -15a - 21n + 30a - 18n - 12a

Collect like terms

6b - 15a + 30a - 12a - 21n - 18n

6b + 3a - 39n

Which expression is equivalent to 4(3n -5)?

Answers

Answer:

12n-20

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

sorry i dont know the answer

Step-by-step explanation:

Which of the following statements is true based on the data set shown below?


median = mode
mean = median
mode = mean

Answers

Answer:

median=mode

Step-by-step explanation:

I just did it.

Answer:

median=mode

Step-by-step explanation:

VIVIENNE READ 3/5 OF A BOOK THAT IS 165 PAGES LONG. HOW MANY PAGES DID VIVIENNE
READ?

Answers

Answer:

99 pages.

Step-by-step explanation:

First divide 165 by 5, to get 1/5th of the book. The answer is 33

Now, multiply 33 by 3 in order to get 3/5ths of the book.

You get 99 pages.

a) If a/b=3/4, find: 6a+b/3a+2b​

Answers

Answer:

22/17

Step-by-step explanation:

If a/b = 3/4, then a = 3 and b = 4.

6a + b/3a + 2b

Substitute the variables.

6(3) + 4/3(3) + 2(4)

Multiply 6 and 3, 3 and 3, and 2 and 4.

18 + 4/9 + 8

Add 18 and 4, 9 and 8.

22/17.

9.52 Times 6.7=?Show explanation too

Answers

Answer:

63.784

Step-by-step explanation:

(9.52)(6.7)

=63.784

wym explain just use your calculator and multiply

mrk brainliest plz

Answer:

348.4 (if that is the number of the question then 52 times 6.7)

63.78 (if 9.52 times 6.7)

Find the Area in terms of pi

Answers

Answer:

121 π

Step-by-step explanation:

A= π * r^2

r^2 = 121 * π

which statement about 307° is correct?

a. sin 307° > 0
b. cos 307° < 0
c. tan 307°<0

Answers

Answer: C. tan 307°<0

Step-by-step explanation: Quizzed


If AABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinates of the image of
point B?

A (5,6)

B (6,3)

C (6,9)

D (2,9)

Answers

The answer would be C (6,9)
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