Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?

Answers

Answer 1

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:

Given

Shape: Triangle

Sides: a, b, c

Longest: c

Required

Select the true statements (See comment section for options)

From the options, we can see that we need to prove if the triangle is right-angled or not.

Since side c is the longest side, it means that side c is the hypotenuse.

Applying Pythagoras theorem

We have that:

[tex]a^2 + b^2 = c^2[/tex]

If the above mathematical statement is true, then the triangle is right-angled

Answer 2

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:


Related Questions

Stephanie and Jose both want to buy a skateboard. Stephanie has already saved $25 and plans to save $5 a week until she can buy the skateboard. Jose has $16 and plans to save $8 a week. How many weeks will it take for them to have the same amount of money and how much will they have?


(Also if u can pls type out ur answer like "10 weeks and $100" hehe)

Answers

Answer: 3 weeks and $40

Step-by-step explanation:

Let the number or weeks taken for them to have same amount be represented by x.

The information given in the question can be presented as an equation as:

Stephanie = 25 + 5x

Jose = 16 + 8x

We then equate them together

25 + 5x = 16 + 8x

25 - 16 = 8x - 5x

3x = 9

x = 9/3 = 3

The number of weeks is 3

The amount of money that they'll have will be:

= 25 + 5x

= 25 + 5(3)

= 25 + 15 = $40

SOMEONE PLEASE HELP ToT ill make u brain

Answers

Answer:

43

Step-by-step explanation:

18 + 4x - 3

18 + 4(7) - 3

18 + 28 - 3

46 - 3

43

You will plug 7 in the x place since x = 7. Hope this helps, thank you !!

Answer:

18 + 28-3 is 43.

Step-by-step explanation:

4x7 28 that's how I did it

I need help on these two questions please

Answers

Answer:

For #1=     D = 24.25     #2=       D= 21

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

15, α) Να λύσετε την εξίσωση: 12x – 11 = 3

Answers

Answer:

x = 7/6

Step-by-step explanation:

12x - 11 = 3

12x = 3 + 11

12x = 14

12x/12 = 14/12

x = 14/12

x = 7/6

Juan thinks that the graph of 6y + 12x = 4 is a line. a. Solve Juan’s equation for y.

Answers

The lines slope is negative 2 so it would be y=-2x+4/6

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Juan thinks that the graph of 6y + 12x = 4 is a line.

Solve the equation of the line for y, then we have

6y + 12x = 4

6y = 4 - 12x

y = 4/6 - (12/6)x

y = 2/3 - 2x

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Anyone wanna be mutuals?

I’m 14, female, listen to The Arctic Monkeys and Mother Mother, I love the outdoors and art. I am fascinated by criminology and death.

Lmk :)

Answers

Answer:

I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck

Step-by-step explanation:

Answer:

me too!! do u like chase atlantic

Step-by-step explanation:

Please explain how you got the answer. Don’t just tell me the answer

Answers

Answer: (4 3/5) x (3 1/2)

23/5  (3 1/2)

23/5 (7/2)

161/10 =

your answer is 16 1/10

Step By-step explanation:

Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3

Answers

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

please help meeeeeee

Find the value of x in the diagram. Explain how you found the answer.​

Answers

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

A stick 1 meter long casts a shadow 0.5 meters long. A building casts a shadow 16 meters long. How tall is the building?

Answers

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

What is the simplified expression of (2x -8) + (3x-2)

Answers

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds

Answers

Answer:

I think the answer is 2.3

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?

12 hours
12 3/4 hours
6 hours
13 1/2 hours

Answers

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

For more information about ratios and proportions,

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The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Decide if the following statement is valid or invalid.

If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .

True or False

Answers

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Help please I need to submit soon

Answers

Step-by-step explanation:

(2.3)^2 +5^2= ?

=6^2 +5^2

= 61

Answer:

THXSSSS UUUU SWOOOO MUCHHHHHHH

Step-by-step explanation:

Please tell me the answers i am confused and need help

Answers

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Answer right to get points

Answers

Answer:

C) -1 7/12

Step-by-step explanation:

-6 1/3 divided by 4=-19/12

reduce:

-1 7/12

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks. After "W" weeks he has "D" dollars left in his bank account. Write an equation that represents the amount of money left in his bank account after "W" weeks.

Answers

Answer:

The Equation :

D = 300 - 10W

Step-by-step explanation:

We are told in the above question that:

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks.

Where W = number of weeks

Our Equation is written as

Total amount in the bank account - $10 × W

= $300 - $10 × W

The Equation is given as

D = 300 - 10W

The area of this trapezoid is what?

Answers

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

A coin collection contains d dimes and q quarters worth a total of $50.

Which equation models this information?

d + q = 50

10d + 25q = 50

0.1d + 0.25q = 50

0.01d + 0.25q = 50

Answers

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

I NEED HELP QUICK QUICK HELP (If you answer just for the point i will report you)

Answers

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

To know more about the graph follow

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I need help!!! I don’t know what to do

Answers

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Graph the points:
(-1, -2); (0 -1), (1, 0)

• What is the fourth point?

HELP PLZZ I'm abouta fail this grade and I cant ​

Answers

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

-2y+6=-12
What does y equal?

Answers

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

X + 12 >7




HELP YOU NOW PLEASE

Answers

Answer:

x>−5

Step-by-step explanation:

Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

3x-2y=12 and 3x+5y=33

Answers

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

--------------

-3x+2y=-12

3x+5y=33

-------------------

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

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