Why is the longest side of a triangle always opposite the largest angle?

Answers

Answer 1

The longest side of a triangle is always opposite to the largest angle because  the endpoints of the lines on either side are going to be further apart if the angle is wider .

What is Triangle  ?

The triangle can defined as a three-sided polygon that consists of three edges and three vertices.

Let the angle opens up to its opposite side.

So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.

If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.

So , the longest side will always be opposite to the largest angle

Similarly , the smallest angle will result in shortest side opposite side for the same reasons.

Learn more about Triangle here

https://brainly.com/question/2299124

#SPJ4


Related Questions

please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

WU/VU

Step-by-step explanation:

cos = adj/hyp

since vu is the longest side, we can determine that is the hypotenuse.

angle w is the right ange, so side wu would be the adjacent side.

putting it together, the ratio for cosine of angle u would be wu/vu

i need help please this is due at 8

Answers

Answer:

[tex]use \: this \: formula \\ circumference = dimeter \times 3.14 = 2 \times radius \times 3.14 \\ \\ area = 0.25 \times {diameter}^{2} \times 3.14 = {radius}^{2} \times 3.14[/tex]

I think I can’t help you but
Did you write the black text because it makes no sense you put the equitation and then the other the next box
The formula for circumference is pi diameter as seen below.
And then you find area by doing 3.14 times radius^2

Here is the answers for circumference going across
43.96, 69.08, 40.82, 28.26, 57.78

Next is area going across
153.86, 379.94, 132.67, 63.59, 265.77

Let me give you an example of how I did those
The ones with half a line are radius and diameter would be times 2 that
In order to find circumference, for the second one I did 11 times 2 (22) and then 22 times 3.14 (pi)
And for the area I did the radius already given
3.14 times 11^2
You have to square the radius and times it by pi
On the other questions if diameter, the whole line across the circle, is given then divide it by 2 to get radius.
Hope that helps!

Please help me with this! <-

Answers

Answer:

this is very hard i have one of this but it might be wrong

Describe the distribution of the ages of the Best Actor Oscar winners [LINK]:
A) What is the BEST description of the SHAPE?
- The distribution is not skewed
- The distribution is skewed left.
- The distribution is skewed right.

Answers

The correct option is option (c)-"The distribution is skewed right."

The distribution of the ages of the Best Actor Oscar winners is slightly skewed to the right.

A histogram of the ages of the Best Actor Oscar winners shows that the majority of the ages are centered around the mean age, with a few ages on the higher end that extend the right tail of the distribution. This creates a small skewness to the right.

The distribution seems to be centered at around 42-43.

The age distribution ranges from about 30 to about 75, without taking into account an outlier.

It's worth noting that the distribution is not extremely skewed, and the majority of the ages are still grouped around the center of the distribution.

Read more about Histograms:

https://brainly.com/question/7219552

#SPJ4

Someone help plz make sure it’s right will mark brainiest

Answers

the one all the way on the right

is this right?? this is a graded assignment and no links!!

Answers

I also got 76, I think it’s right.

Write four consecutive numbers with a mean and medium of 14.5

Answers

Answer:

13, 14, 15, 16

Step-by-step explanation:

Call the first number  n.  Then the next three consecutive numbers (assuming integers) are  n + 1, n + 2, n + 3.

The mean is the total of the numbers divided by how many there are.

[tex]\frac{n+(n+1)+(n+2)+(n+3)}{4}=14.5[/tex]

Simplify and multiply by 4.

[tex]4n+6=58\\4n=52\\n=13[/tex]

The first number is 13.

The median is 14.5, halfway between the "middle" numbers 14 and 15.  This is just a check; no additional equation is necessary.

PLEASE HELP I’LL GIVE BRAINLIST!!!!!!!!

An object in free fall is dropping using only the force of gravity. Let's assume that is the case with the Drop of Doom for a moment just for the sake of our calculations.

When using feet to measure the distance traveled over time, we can approximate the force of gravity as -16ft/sec^2. That means every second, the speed of the ride is increasing at a rate of 16 ft/sec down towards the ground (hence the negative sign).

Zumanjaro is said to be a 415-foot drop. We can represent this fall using the function: h(t)= -16t^2+415, where h is the height above the ground (or in this case the height above the stopping point of the ride) in feet and t is the time in seconds.

Using this function, how long does the ride take to complete its 415 drop?

Answers

The Answer is -16-244

Use the quadratic formula to find both solutions to the quadratic equation
given below.
4x² + 5x+1=0
A. X=-
-3-√√-7
8
□ B. x=-3-√7
8
C. x=
E. x=
-3+√√-7
8
D. x=-¹
+3+√7
8
F. x= -1

Answers

Answer: x=-1/4 and x=-1

Step-by-step explanation:

The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.

The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.

The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:

a=4

b=5

c=1

Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.

Solution 1: addition

[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_1=\frac{-5+3}{8}[/tex]                            [add]

[tex]x_1=\frac{-2}{8}[/tex]                                [divide top and bottom by 2]

[tex]x_1=-\frac{1}{4}[/tex]

Solution 2: subtraction

[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_2=\frac{-5-3}{8}[/tex]                            [subtract]

[tex]x_2=\frac{-8}{8}[/tex]                                [divide]

[tex]x_2=-1[/tex]

I am not able to find the answer choices, but we know that x=-1/4 and x=-1.

A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The
piece of cork has a mass of 5.7 g. What is the density of the cork?

Answers

Answer:

0.243 g/mL

Step-by-step explanation:

Density is grams divided by mL. All you need to do for this is take your values and use them for the equation. Divide 5.7 grams by 23.5 mL

Help! How do I do this??

Answers

a= 10 divided by sin(48)= 13
b=cos(48)x13=9

Answer:

a = 14.9; b = 11.1

Step-by-step explanation:

SOHCAHTOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

[tex]cos48[/tex]° : adjacent is 10, and hypotenuse is a

    [tex]cos48=10/a; a*cos48=10;a=10/cos48[/tex]

    type 10/cos48 into calculator to get a = 14.9

[tex]sin48[/tex]° : opposite is b, and hypotenuse is a

    [tex]sin48=b/a; sin48=b/14.9; b=14.9*sin48[/tex]

    type 14.9*sin48 into calculator to get b = 11.1

PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.

Answers

Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m

What is the height?

Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.

Given that the rocket's flight can be approximated approximatively using the equation,

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt = --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Find out the maximum height.

h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3

h(1.5) = -27 + 57

h(1.5) = 30m

As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.

Read more about height

https://brainly.com/question/10726356

#SPJ1

A skateboarding ramp is
in the shape of a triangular
prism. If the entire ramp is
to be painted, and a can of
spray paint covers 1,000
square inches, how many
cans will be needed?



Help me please! I only need one more question

Answers

Answer:

chicken pot pie

Step-by-step explanation:

ain't good

The number of cans needed will be 3.divide the total surface area by the area the spray paint can cover.

What is surface area ?

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The total surface area to be painted;

A = Area 1 + Area 2 +Area 3+Area 4 \\\\\ A= Area of rectangular face 1 + Area of triangular surface 1+Area of triangular face 2 +Area of rectangular face 2

[tex]\rm \ A = 36 \times 50 + \frac{1}{2}\times 48 \times 14 +\frac{1}{2} \times 48 \times 14 + 36 \times 14 \\\\ A = 1800 +672+504 \\\\ A = 2976 \ inch^2[/tex]

The total surface area to be painted is 2976 inch².

To find the number of cans, divide the total surface area by the area that the spray paint can cover;

[tex]\rm n = \frac{2976}{1000} \\\\ n = 2.976 \\\\ n \approx 3[/tex]

Hence, the number of cans required will be 3.

To learn more about the surface area, refer to the link;

https://brainly.com/question/2835293

#SPJ2

What can you multiply to the first equation to eliminate the y's?
4x + y = 12
- 2x + 3y = 10

Answers

Answer:

I think this is how....

Step-by-step explanation:

4x + y = 12

4x + y -y = 12 - y

4x = 12

*divide by 4 on each side*

x = 3

Dr. And Mrs. Tutt are married, lives in Burleson and file a joint return. The Tutts cannot

be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19

years old, single and a full-time student away at college. Lavender earned $4,500

during the year, but her parents provided more than half of her support. Which of the

following statements is true?

Answers

The real earning of her could be less than $2250 during the year where their parents supported more than half.

What is linear equation ?

linear equation can be defined as the equation in which the highest degree of the exponent is one.

Given

The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,

single and a full-time student away at college.

Lavender earned $4,500 during the year

The real earning of Lavender could be

as her parents supported more than half.

so,

her real earning could be less than $2250

Hence , the real earning of her could be less than $2250 .

To learn more about Linear Equation from the given link.

https://brainly.com/question/29739212

#SPJ4

Please solve and give me the answer. Please show me how you solved it too.

Answers

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

when processing an invoice what account is debited
a. cash
b. accounts payable
c. accounts receivable
d. the answer depends on the transaction

Answers

Answer:

D

Step-by-step explanation:

Because the account that gets debited depends on the specific transaction

can someone help me pls​

Answers

Coefficients are the numbers by themselves so B.
Hope that helped my friend!! :D

What value of n makes the equation true? Show your work.

Answers

Answer:

5n

Step-by-step explanation:

(7^5 * 7^n) ^ 4   = (7^11/7^n)^3

7^(20 + 4n)   =  4.7^15 / n^3

= 20/4 = 5n   and  15/3 = 5n

Answer 5n

Kindly answer this one. Thank you.​

Answers

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

[tex]AL=\frac{OR+CE}{2}[/tex]

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

[tex]x=\frac{9+5}{2}=7[/tex]

2. AL = m - 4, CE = 15, OR = 17

[tex]m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16[/tex]

3. OR = y + 5, AL = 15, CE = 18

[tex]15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12[/tex]

The graph shows Miguel's savings over time. What is the slope of the line?

Answers

Answer:

3/4 x

Step-by-step explanation:

The rise is 3 and the run is 4, making the slope 3/4 x

The length of a rectangle is 3cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.

Answers

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.

L = 3 + W                ...1

2(L + W) = 58

L + W = 29                ...2

From equations 1 and 2, then we have

3 + W + W = 29

2W = 26

W = 13 cm

Then the length of the rectangle will be given as,

L = 3 + 13

L = 16 cm

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ1

PLEASE HELPP
mia has 3 bags the number of toys in each bag is 6, 8 and x what is the number of toys in the third bag if the average number of toys in the three bags is 6?

a. 3

b.6

c.4

d.8

Answers

Answer:

b

Step-by-step explanation:

i think b because it makes more sense than a or c

The answer here is b here’s hii

The 7th grade has 159 students. There are twice as many boys in the grade as there are girls.
How many boys are in the 7th grade?

Answers

Answer:

106 boys

Step-by-step explanation:

7th grade = 159 students

Boys to girls ratio:

2:1

Find two thirds of 159:

2/3*159 = 106 boys

159-106= 53 girls

Check:

53*2 = 106

Answer:

318 boys

Step-by-step explanation:

Easy mutiplication

159*2=318

Is 0 the middle of a number line?

Answers

Zero is the middle point of a number line.

On the number line, all positive (natural numbers) numbers are on the right side of zero, while all negative numbers are on the left. A number's value lowers as we turn to the left. As an illustration, 1 is greater than -2.

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. [1]

The integers are frequently represented as specially designated, uniformly spaced dots on a line. It is frequently employed as a teaching tool for basic addition and subtraction, particularly when negative numbers are involved.

The number line may also be referred to as a real line or real number line in advanced mathematics.

To learn more about number line :

https://brainly.com/question/24644930

#SPJ4

An ice cream store has the following pints
in stock: 6 cookies and cream, 4 chocolate, 7
strawberry, 5 vanilla, and 8 mint chocolate
chip. Courtney is going to take out one pint,
not replace it, and then take out a second
pint. What is the probability that she will pull
out first a strawberry, then a mint chocolate
chip?

Answers

Answer:

0.03333333333 she will pull out a strawberry first then 0.00114942528 perfect chance she will get both of them.

Step-by-step explanation:

30 possibilities for the first one and 29 other for the second one

what is x and the measure of angle EHF

Answers

Answer:

x = 10, ∠ EHF = 110°

Step-by-step explanation:

7x and 11x are adjacent angles and sum to 180° , then

7x + 11x = 180

18x = 180 ( divide both sides by 18 )

x = 10

∠ EHF = 11x = 11(10) = 110°

Answer:

EHF = 110 deg

Step-by-step explanation:

From what it looks like 7x and 11x are being used as units of measurment. I can asssume a full circle adds up to 36x because 180deg adds up to 18deg.

If there were a number that was supposed to fill in for x it could be 0 because if the angles in this problem were 110 deg and 70 deg they would make 180 deg which is the straight line that the problem has.

GIVING BRAINLIEST! HELP

Answers

Answer:

The answer is a because the sign should be facing right but not be greater than or equal to.

WILL MARK BRAINLIEST ASAPPPP

Answers

Answer: 49.5 round up to 50

Explanation: add the area of a rectangle plus the area of a triangle

A wood has pine, oak and ash trees.
The numbers of pine trees and oak trees are in the ratio 5:8.
The numbers of oak trees and ash trees are in the ratio 2:3
The total number of trees in the wood is 300. Find the number of ash trees.​

Answers

142 ash trees I think
Other Questions
write a short story that ends with not all that glitters are gold What were the difficulties with the Articles of Confederation? Macy's, as described in the case, is what type of retailer? a. category specialist b. full-line discount store c. general merchandise retailer d. specialty store e. extreme value retailer A bag has 4 green cards, 9 blue cards, 3 purple cards,and x pink card(s). Each card is a solid color. What isthe probability that a card randomly chosen from thebag is purple? WORTH 100 POINTS!!!!!Pick one person, contribution or achievement for each of the 5 topics below. When making yourdecision please incorporate at least TWO vocabulary terms in each of your choices.1. Politics2. Medicine3. Science4. Knowledge5. Art & ArchitectureWhen making your decision please incorporate at least TWO vocabulary terms in each of yourdescriptions.Vocabulary terms: (not all of the words will be used)AlgebraAl-AzharAl KhwarizimiAl Ma'munAl RaziAl Zahrawi Arabesque Geometric patterns Ibn Sina (Avicenna) Ibn Rushd (Averroes) Ibn al-Haytham Islamic Law Jizya One thousand and one nights Paper-making Philosophy Rumi I need 2-3 sentences for Politics: Medicine:Science: Geography on dialect Spanish examples Read the passage.A Performance to RememberNot many people may be familiar with a French figure skater named Surya Bonaly. Bonaly is one of the most decorated individuals in womens figure skating. She won medals in nearly every competition she entered. Bonaly did not start out as many young figure skaters do. For example, instead of learning to ice skate at a young age, Bonaly got her start in gymnastics. From the beginning, she showed promise as she began winning competitions for her tumbling routines. Her excellence and competitiveness paid off when, at the age of twelve, she won the World Championship in tumbling. From there, Bonaly turned her energies to ice-skating. Even at that young age, she was getting a late start in a sport that many skaters begin as early as age four. However, her strong gymnastics background helped fuel Bonaly's quick and early successes in competitive figure skating.Bonaly soon earned praise for her powerful and athletic performances. Her fierce determination to win was noted. Bonaly was a strong skater, performing extremely difficult moves and landing them consistently. However, she soon found herself battling against strongly held stereotypes of what a womens figure skater was supposed to be. This included ideas of a cool and aloof ice princess or as cute as a buttona perky ballerina on ice skates. To set herself apart, Bonaly chose to wear bold and bright costumes instead of the pastel colors favored by other female skaters. It was also suggested by some that because she was black and did not fit the typical womens ice skater model, Bonaly was judged more harshly than the other competitors. Bonaly felt she had to do more than any other competitor to be accepted and, perhaps even more importantly, win. Her growing perceptions of a double standard became even more visible during the 1994 World Championships in Japan. Bonaly earned a silver medal, losing to Japans Yuka Sato. A visibly upset Bonaly claimed that her routine was far more difficult than Satos. She not only refused to stand on the second place winners spot at the podium but also removed her silver medal from around her neck. Some say that she behaved poorly. To that, Bonaly responded, When you do sport, the rule is that you're supposed to play fair, to be a good athlete and good sport, I get it,""But I think at this point it was more an act of saying, 'OK, this is too much.' It happened many years in a row."Bonaly is probably most famous for a bold and daring stunt she performed during the 1998 Olympic Games held in Nagano, Japan. By this time, Bonaly was a clearly established skating champion; she had already won numerous honors for her skating, including winning the French Nationals nine times, as well as being a five-time European champion. She was also a three-time world silver medalist. The Nagano Olympics was Bonalys third time at the international winter sports competition. But she entered the games during a period when her skating performances that year were weaker than usual, due to an ongoing heel injury. The extent of Bonalys injury was reflected in her low scores. She realized that she would not earn a medal. So, she decided to do something special in her last routine, the freestyle skate. The something speciala backflipwas a feat she was already known for. It had already gotten her into trouble as the jump was banned by Olympic officials because of the danger. But, knowing that this would be her last Olympics, Bonaly decided to please the crowd and not the judges. In the middle of her routine, Bonaly abandoned her planned triple Lutza jump combined with three spinsand instead threw her arms overhead to do the back flip, landing successfully on one skate. Bonaly landed her flip cleanly and finished her program with no mistakes. The crowd went wild with applause and cheers.Although her feat did not win her a medal, it was a move that, given its risk and difficulty, made people remember her. Twenty years later, people who saw this famous jump still talk about it. Bonaly remains the only female skater in history to do this jump successfully in competition. Although still illegal to perform in Olympic competition, the flip has now been named The Bonaly. Bonaly will also be remembered for being a strong and outspoken woman of color in a sport that traditionally has few minorities. Her willingness to challenge traditional expectations for young female figure skaters has shown others that there are many different paths to success. What is the author's purpose in "A Performance to Remember"?to explain how Bonaly stands out from other figure skaters and why it mattersto entertain readers with a story about Bonaly's illegal skating trickto help readers understand Bonaly's decision to become a figure skaterto prove that Bonaly is braver and more determined compared to other skaters Do you think Ford would approve of the World States progress or views of him? Why or why not? Be specific in your text evidence What is the meaning of 2 stanza? A crime considered so heinous that it is punishable by death referred to as:a. Capital offenseb. Death penalty crimec. Eye-for-an-eye offensed. Felony crime. Do people in today's society live by the virtues discussed in Franklin's Autobiography? Explain and give examples. Select the correct answer.Read paragraph 9.(9) The Canary-S is. Self-contained unit powered by solar energy and a battery that transforms data using cellular technology. It can measure a variety of pollutants, including particulate matter, carbon monoxide, methane, sulfur dioxide, and volatile organic compounds, among others. The device is constantly taking measurements and sends a message up to a secure cloud every minute . . . Martys research question is, How can Earths technology be used in outer space? He needs to develop his research with facts that are appropriate for an audience of 9th grades students. What fact from paragraph 9 is the best choice for meeting this goal? Which of the following processes involves the endocrine system and digestive system working together?When the hand touches hot food, it is quickly moved away.Oxygen is carried to blood cells as food is digested in the stomach.Hormones stimulate the pancreas to release enzymes needed to break down food.The brain sends signals to the muscles to chew food. Select the correct answer from each drop-down menu.Complete each sentence with correct capitalization, punctuation, spelling, or grammar. A technician performs a medication reconciliation in order to: Select one: Consult the patient Prevent drug errors Diagnose the condition Administer the medication (b) Summarize How didPresident Johnson use the Gulf ofTonkin Resolution? im homeschooled and someone asked me if I was in school and I said "yes" and he asked if I was in "7th period" I literally dont know what that means :) The poet describes images of blank to develop the central idea that blank? (PLEASE HELP)Which expression is represented on the number line? I need Part E,F,G, and H for Math please ;(