Can a triangle have sides of lengths 9,17,15? Show why or why not.

Answers

Answer 1

Answer:

A triangle has 3 sides: a, b, c satisfying inequalities below:

=> a + b > c > |a - b|

=> b + c > a > |b - c|

=> c + a > b > |c - a|

9, 15, 17 satisfy the inequalities above (you can check it easily).

Hope this helps!

:)


Related Questions

Solve the equation. \dfrac18 + c = \dfrac45 8 1 ​ +c= 5 4 ​ start fraction, 1, divided by, 8, end fraction, plus, c, equals, start fraction, 4, divided by, 5, end fraction c=c=c, equals

Answers

Answer:

[tex]c=\dfrac{27}{40}\\[/tex]

Step-by-step explanation:

We are required to solve for c in the equation: [tex]\dfrac{1}{8}+c= \dfrac{4}{5}[/tex]

Step 1: Collect like terms

[tex]\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}[/tex]

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

[tex]40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40[/tex]

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

[tex]c=\dfrac{27}{40}\\[/tex]

Answer:

27/40

Step-by-step explanation:

Harry bought 3 shirts that cost the same amount each. He also bought a pair of pants for $25. He spent a total of $70 on all items. Which equation could be used to calculate the cost of each shirt.

Answers

Answer:

70 - 25 ÷ 3

Step-by-step explanation:

Yeah it doesn't really need an explanation because I just did the work for you lol.

Plz click the Thanks button!

<Jayla>

The shaded portion of each model represents
1
10

110
.
Which can be used to find the total shaded area in all 4 models?

Answers

is there a picture to this??

Can you please help me and i will give you a Brainiest

Answers

Answer:

the answer might be 'scariest zoo animal'

Step-by-step explanation:

hope this helps

Answer:

i think the answer is "favorite zoo animal"

Step-by-step explanation:

because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"

What’s the answer to -8xy+2xy

Answers

Answer:

-8xy+2xy=-6xy

Radius = 11 cm.; Height = 10 cm.

Answers

Answer:

[tex]3801.32 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

π

{r}^{2}

h

\\

=

π

·

{11}^{2}

·

10

\\

3801.3271[/tex]


Divide and answer in simplest form :) 5/3÷3





Answers

Answer:

5/9

Step-by-step explanation:

5/3÷3

Copy dot flip

5/3 * 1/3

5/9

given the two perallel line ,determine the measure of x a= x=125 b= x=135 c= x=45 d= x=55


Please help me

Answers

Answer:a

Step-by-step explanation:

Simplify these expressions
a) 5 x x
b) 6 xxxy
c) 2 xxx 3xy

Answers

5x^2
6x^3y
2x^3 3xy
^ means the little number above x eg x^3

HELP ITS A TIMED FINAL

Answers

Answer:

10 months

Step-by-step explanation:

So you should pick equation B, since it fits all the criteria.

Solve it:

25m + 33950 = 35700 - 150m

175m = 1750

m = 10

B. And idk it’s either 10,11,12

Which of the following equations has the same solution as m - (-62) = 45?

1.) 25 - x = 8
2.) 120 + x = 13
3.) 120 - x = 13
4.) x + 25 = 8

Answers

Answer:

Step-by-step explanation:

m + 62 = 45

m = -17

x + 25 = 8

x = -17

4) x+25=8
Explanation:

Zapisz w postaci ułamka dziesiętnego: A)224/10=....... B)5315/10=...... C)3783/100=...... D)34502/1000...... Proszę o szybką odpowiedź Daje naj i 20 punktów

Answers

Answer:

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Bob is performing an experiment to learn more about probability. He has a box of pink, yellow, blue, and white ribbons. He randomly picks a ribbon from the box and then replaces it. He does this 100 times. The table shows the number of times he picks a ribbon of each color. Ribbon Color Number of Times Picked pink 10 yellow 20 blue 40 white 30 The relative frequency of picking a pink ribbon is . The relative frequency of picking a white ribbon is . It is most likely that the number of ribbons in the box is the highest. It is most likely that the number of ribbons in the box is the lowest

Answers

Answer:

1. 0.1

2. 0.3

3. blue

4. pink.

Step-by-step explanation:

Got it right, hope this helps! :)

The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The relative frequency of picking a pink ribbon is found by dividing the number of times a pink ribbon was picked by the total number of times Bob picked a ribbon:

Relative frequency of pink ribbon = 10/100 = 0.1 or 10%

Similarly, the relative frequency of picking a white ribbon is:

Relative frequency of white ribbon = 30/100 = 0.3 or 30%

To determine which ribbon color is most likely to be the highest or lowest, we can compare the relative frequencies.

The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

Conversely, the pink ribbon was picked the least with a relative frequency of 10%, which means it is most likely that there are fewer pink ribbons in the box than the other colors.

Hence, the blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

To learn more on probability click:

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The rail fare £16.25 is increased by 5%; how much does the fare now co st?

Answers

Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.

To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.

Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.

Let's do both of them:

Increase: 5%

Equation: 1.05 x 16.25

1.05 x 16.25 = 17.06 rounded to the nearest cent

Rail Fare after 5% increase:  £17.06

Increase: 5%

Equation: (5 x 16.25)/100

81.25/100 = .81 rounded to nearest cent

Then, we add them together.

16.25 + 81 = 17.06

Rail Fare after 5% increase:  £17.06

What is the greatest four digit number that can be made using the digits 3,1,6, and 4?

Answers

Answer:

6,431

Step-by-step explanation:

Son of Hannah‘s plants need water every day some need water every other day and some need water every third day if she what is an all today how many days will it be before she waters them all again

Answers

Answer:

3 days

Step-by-step explanation:

Some of Hannah‘s plants need water every 1 day.

Some need water every third(3) day.

If she waters them all today, we are to determine when next she will waters them all again.

To do this, we find the lowest common multiple of 1 and 3.

L.C.M of 1 and 3=3

Therefore, in 3 days time, she will water them all again.

In a class of c child, ¾ are boys. How many of them are girls?

Answers

Answer:

I'm going to say that there is one girl in the class

Martin has 4 tickets to Ice Fantasy with the Stars. They cost him $15.75 each, plus $3.50 in handling per ticket, and $9.50 in shipping. What was the total cost of the tickets?


$86.50


$79.50


$99.50


$70.00

Answers

Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?

Answers

If there are 45 as the 3 ratio, you just divide the 45 by 3 and it gives you the 1 ratio. 45/3= 15, so 15 children picked atom and Jerry. 45+15= 60. There are 60 students in class :)

The ratio of boys to girls in Ella’s grade is 3 to 4.
The ratio of boys to girls in Minh’s grade is 4 to 5.
Each grade has a total of 20 girls.

Choose True or False for each statement below.
Ella’s grade has more boys than Minh’s grade.

Minh’s grade has more boys than Ella’s grade.

Ella’s grade has 15 boys.

Minh’s grade has 8 boys.

Answers

Answer:

Minh's grade has less boys than Ella's

On Wednesday, Joel, who is right-footed, takes exactly 20\%20%20, percent of his practice shots on goal with his left foot. Joel takes 141414 shots with his left foot.
How many total shots on goal did Joel take on Wednesday?

Answers

Answer:

5

Step-by-step explanation:

Answer:

Joel took 70 total shots on goal on Wednesday.

Step-by-step explanation:

Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?

Solve this problem,
Each month, Megan babysits for a total of 50 hours. How many hours will she spend
babysitting in a year?
hours
Type the correct answer.

Answers

............ .......

BD−→− bisects ∠ABC such that m∠ABD = (4x−5)∘ and m∠DBC = (3x+2)∘.

Find m∠ABC.

m∠ABC = ∘

Answers

Answer:

[tex]\angle ABC=(46)^{\circ}[/tex]

Step-by-step explanation:

Given: BD bisects [tex]\angle ABC[/tex]

[tex]\angle ABD=(4x-5)^{\circ}\\\angle DBC=(3x+2)^{\circ}[/tex]

To find: [tex]\angle ABC[/tex]

Solution:

A bisector of an angle divides it into angles of equal measures.

As BD bisects [tex]\angle ABC[/tex], [tex]\angle ABD=\angle DBC[/tex]

Put [tex]\angle ABD=(4x-5)^{\circ}\,,\,\angle DBC=(3x+2)^{\circ}[/tex]

[tex]\angle ABD=\angle DBC\\(4x-5)^{\circ}=(3x+2)^{\circ}\\4x-3x=2+5\\x=7^{\circ}[/tex]

So,

[tex]\angle ABD=(4x-5)^{\circ}=(4(7)-5)^{\circ}=(28-5)^{\circ}=(23)^{\circ}\\\angle DBC=(3x+2)^{\circ}=(3(7)+2)^{\circ}=(21+2)^{\circ}=(23)^{\circ}[/tex]

[tex]\angle ABC=\angle ABD+\angle DBC\\=(23)^{\circ}+(23)^{\circ}\\=(46)^{\circ}[/tex]

A bisector divides lines, angles and shapes into equal segments

The measure of angle ABC is 46 degrees

The given parameters are:

m∠ABD = (4x−5)∘ m∠DBC = (3x+2)∘

Given that line BD is the bisector of angle ABC, it means that:

[tex]\angle ABD = \angle DBC[/tex]

and

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]4x - 5 = 3x +2[/tex]

Collect like terms

[tex]4x - 3x = 5 +2[/tex]

Evaluate like terms

[tex]x = 7[/tex]

Recall that

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]\angle ABC = 2 \times (4x - 5)[/tex]

Substitute 7 for x

[tex]\angle ABC = 2 \times (4\times 7 - 5)[/tex]

[tex]\angle ABC = 2 \times (28 - 5)[/tex]

[tex]\angle ABC = 2 \times 23[/tex]

[tex]\angle ABC = 46[/tex]

Hence, the measure of angle ABC is 46 degrees

Read more about bisectors at:

https://brainly.com/question/5371386

HELPPPPPPP plz will mark brainliest and 25 pts
Write the standard form of the equation for the circle that passes through the points (2, 31), (–15, 14), (33, 0). Then identify the center and radius.

Question 4 options:

a. (x – 6)2 + (y – 5)2 = 625; center (6, 5), r = 25
b. (x – 9)2 + (y – 7)2 = 625; center (7, 10), r = 5
c. (x+ 7)2 + (y + 10)2 = 25; center (9, 7), r = 25
d. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

Answers

Answer:

y= x^2/24 + 11x/24 +121/4

Step-by-step explanation:

The standard form of the equation for the circle that passes through the points will be D. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

What is standard form?

It should be noted that s standard form simply means a form or writing a a mathematical concept in a form that follows certain rules.

In this case, the standard form of the equation for the circle that passes through the points will be x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

Learn more about standard form on:

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In ΔGHI, the measure of ∠I=90°, IG = 48 feet, and HI = 22 feet. Find the measure of ∠G to the nearest tenth of a degree.

Answers

Answer: 24.6

Step-by-step explanation:

In a survey of 2 comma 3002,300 people who owned a certain type of​ car, 1 comma 2651,265 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55% of the people surveyed were satisfied with the​ car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the​ car

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

10°F
20°F
122°F
132°F

Answers

if my mathematics are correct the answer should be 122F

The temperature in degree Fahrenheit is (c) 122

The function is given as:

[tex]C = \frac 59(F - 32)[/tex]

When the temperature is 50 degrees Celsius, it means that:

C =50

Substitute 50 for C in [tex]C = \frac 59(F - 32)[/tex]

[tex]50 = \frac 59(F - 32)[/tex]

Multiply through by 9

[tex]450 = 5(F - 32)[/tex]

Divide both sides by 5

[tex]90 = F - 32[/tex]

Add 32 to both sides

[tex]F = 90 +32[/tex]

[tex]F = 122[/tex]

Hence, the temperature in degree Fahrenheit is (c) 122

Read more about unit conversions at:

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What is the distance in scientific notation?
0.0065 meters

Answers

Answer:

this is the right answer : 6.5 * 10^-3 m

Which form or linear equations are these pls help last day of school due tonight !

Answers

Answer:

standard form

Step-by-step explanation:

A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin?

Answers

Answer:

slope is 6

Step-by-step explanation:

slope is defined as you move from left to right or from up to down.

30 meters/5 seconds = 6

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