What theorems apply to equilateral triangles?

Answers

Answer 1

Theorems related to equilateral traingle :

Theorem 1: The sum of measures of all 3 interior angles of a triangle is [tex]180^0[/tex].

Theorem 2: The angles opposite to equal sides are also equal in measure.

Theorem 3: The sum of the related internal angles is the measure of the exterior angle of a triangle.

Theorem 4:If a line splits any two triangle sides in the same proportion, it is parallel to the third side of the triangle.

Theorem 5: Each angle of an equilateral traingle have equal measure of [tex]60^0[/tex].

Theorem 6: Any two triangle sides can add up to a length that is longer than the third side.

To know more about internal angles click on below link:

https://brainly.com/question/29003298#

#SPJ4

 


Related Questions

i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7​

Answers

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

simplify the expressing by combining like terms
1 + 3x - 8x + 7​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{1 + 3x - 8x + 7}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS }[/tex]

[tex]\large\textsf{ (3x - 8x) + (1 + 7)}[/tex]

[tex]\large\textsf{3x - 8x = \bf -5x}[/tex]

[tex]\large\textsf{1 + 7 = \bf 8}[/tex]

[tex]\large\textsf{= -5x + 8}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -5x + 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write an expression, in its simplest form, for the volume of this cuboid

Answers

Answer:

[tex]V=10x^2+35x+15[/tex]

Step-by-step explanation:

Given that,

Length = (2x+1)

Width = (x+3)

Height = 5

We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :

[tex]V=lbh[/tex]

So,

[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]

So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].

Aiden got a loan for $600 that has a 5% simple interest for
2 years.

Answers

Answer:

The simple interest is $60 for 2 years

Step-by-step explanation:

1. 600*0.05=30

2. 30*2=60

Solve for x. Show all your steps/work.
216x = 6x + 1

Answers

216x-6x=1
210x=1
x= 1/210
x= 0.00476

What is the following product ?

Answers

Answer:

6 (square root) 200

Step-by-step explanation:

Answer:

the second choice 6/200

Step-by-step explanation:

If out of a sample of 180 drivers prefer a standard transmission over automatic , about a standard transmission in a population of 900
A:700
B:22
C:360
D:200

Answers

Answer:

This is a matter of ratio and proportion, let us represent the unknown value as x. Since the two ratios are related,

40 : 180 :::: x : 900

40 / 180 = x / 900

x = (40/180)(900)

x = 200q

Find the factor pairs for 12.
1 and 12
2 and 6
3 and 4
The factors of 12 are 1, 2, 3, 4, 6, and 12.

Answers

Answer:

the factor pairs of 12 are  1 and 12 , 2 and 6 , 3 and 4

Step-by-step explanation:

The computation of the factor pairs is shown below:

The factor pairs means the two numbers which are multiplied to get the number 12

So it is

1 and 12

2 and 6

3 and 4

Hence, the factor pairs of 12 are  1 and 12 , 2 and 6 , 3 and 4

The same would be relevant

An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice

Answers

Answer:

3.7

Step-by-step explanation:

Answer:

The Unit Rate would be 0.27:1

Step-by-step explanation:

Divide 4.86 by 18 to get 0.27

Hope this helps! Pls make brainliest

Solve for x in the picture below

Answers

Answer:

x=19

Step-by-step explanation:

90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)

x=19

Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, what must be true about area II and area III.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Total = x^2 + 14x + 24[/tex]

[tex]Area\ I = x^2[/tex]

[tex]Area\ IV = 24[/tex]

Required

True about area II and III

The question is incomplete; so, I will answer using general knowledge.

If the total area is:

[tex]Total = x^2 + 14x + 24[/tex]

And there are 4 areas, then;

[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]

Rewrite as:

[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]

This gives:

[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]

Collect like terms

[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]

[tex]14x = Area\ II + Area\ III[/tex]

Rewrite as:

[tex]Area\ II + Area\ III = 14x[/tex]

So, the sum of areas III and IV must be 14x

If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function

Answers

Answer:

Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.

Step-by-step explanation:

If 6 men build 150m wall how many needed to build 200m

Find the value of ‘N’ in each of the following:

a. 2n = ¼
b. 10⁶÷10n = 10²​

Answers

[tex] \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}[/tex]

[tex]a. \: \: n \: = \: \red{ \boxed{ \tt{{ \: \frac{1}{8} \: }}}} \\ \\ \: \: \: \: \: \: b. \: \: n \: = \: \red{ \boxed{ \tt{ \: 10 {}^{ - 3} \: }}}[/tex]

Answer:

a. n=1/8

b. n=10^-3

please mark as brainliest

Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)

3 pages, with work pleasee

Answers

Step-by-step explanation:

isosceles trapezoidtrapezoidrhombussquarerectangleparallelogramquadrilateral10x+18+62=180 co interior angle

10x=180-80

x=100/10=10

:.x=10

9.

8x+2=7x+14 corresponding angle of parallelogram are equal

8x-7x=14-2

x=12

10.

4x+4=5x+1 corresponding sides of parallelogram are equal

4-1=5x-4x

x=3

11.

4+3x=19corresponding sides of parallelogram are equal

3x=19-4

x=15/3

x=5

Find what x =

4
9
16

Answers

16 Bc it’s just that

In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes. The rest cast their votes to Ahmed, Babu and Chambuko in the ratio 3:2:1.If 30 votes were spoilt,how many votes did Ahmed get?​

Answers

Answer:

Ahmed got 390 votes

Step-by-step explanation:

Here, we want to know the number of votes obtained by Ahmed

from the question, there were 900 registered voters

10% did not cast their votes

The number that didn’t cast their votes will be;

10% of 900

= 10/100 * 900 = 90

So the rest 90% casted and this value will be 900-90 = 810

810 people casted their votes

30 votes were spoilt;

The number of valid votes is thus;

810 - 30 = 780

Ahmed got a ratio of 3 in 3:2:1

The total value here is 3 + 2 + 1 = 6

So what Ahmed got will be;

3/6 * 780

= 780/2 = 390

Plz help ASAP I will add branliest to the first answer, I need to solve for the letter

Answers

Answer:

6. r=2

8.x=3

Step-by-step explanation:

6. 4r-3=5

4r-3=5 add 3 to both sides

4r=8 divide 4 by both sides

r=2

8. 5x-6=9

5x-6=9 add 6 to both sides

5x=15 divide 5 by both sides

x=3

Question 6) 4r - 3 = 5
First we need to add 3 to each side.
4r - 3 + 3 = 5 + 3
4r = 8
Then we will divide each side into 4 groups.
4r/4 = 8/4
r = 2

Question 8) 5x - 6 = 9
First we need to add 6 to each side.
5x - 6 + 6 = 9 + 6
5x = 15
Then we will divide each side into 5 groups.
5x/5 = 15/5
x = 3


How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1

Answers

-2x + 8 = -4x + 1
- 1 -2x
7 = -6x

-6x


7/-6 or -7/6

Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.

Answers

Answer:

C

Step-by-step explanation:

volumes are width x height x length

4 x 2 x 2 = 16

8 x 2 x 1 = 16

5/7 x 9/10

please show your work and the answer has to be a simplified fraction . thanks :)

Answers

Answer:

Step-by-step explanation:

5/7 x 9/10

=5/7 9/5 X 2

=1/7 X 9/2

=1 X 9/ 7 X 2

=9/ 7 X 2

=9/14

The expression 5/7 x 9/10, is equivalent to 9/14.

What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

5/7 x 9/10

Given is -

5/7 x 9/10

1/7 x 9/2

9/14

Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Школьник поднял гирю весом 16 кг на высоту 2,1 м за 2 с. Определите:
а) Механическую работу, выполненную школьником;
б) Механическую мощность, развитую им;
в) На сколько увеличилась при этом потенциальная энергия си-
стемы „гиря-земля". Считать g = 10 Н/кг.
ОЧЕНБ ОЧЕНЬ СРОЧЬНО НАДО. ПОМОГИТЕ ПОЖАЛУЙСТА ЩЯС.​

Answers

Answer:

what type of language is this isn't this India?

Are there any supplementary angles ? If so name two pairs if not explain why not

Answers

I need to see the picture but just know that supplementary angles=180 degrees

A smoothie recipe calls for 1.2 cups of strawberries for one batch. Michael uses 4.8 cups of strawberries today. How many batches did Michael make today?

Answers

Answer:

4 batches

Step-by-step explanation:

4.8/1.2 = 4

8 + 7 + (-4) on a number line

Answers

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

Please help!!! I’ll mark you as brainliest!!!!!

Answers

Answer:80%.

Step-by-step explanation:

PLZS help need by today!

Answers

Answer:

15

Step-by-step explanation:

We know that the expression is equal to 110° since it is a vertical angle. So what we do is we ad 10 to both sides of the equation. We are left with 8x=120 so if we divide 120/8 we get 15 which would leave it as x=15. Now plug it in and check it.

Which equation can be used to solve for xxx in the following diagram?

Answers

Answer:

A

Step-by-step explanation:

math

We can solve for x in the diagram based on the vertical angles theorem using the equation: A. 60 = (4x - 20)

What is Vertical Angles Theorem?

Angles that lie vertically opposite each other when two straight lines intersect are congruent too each other, based on the vertical angle theorem.

Applying the vertical angles theorem, we can solve for x in the given diagram using the equation below:

60 = (4x - 20)

Learn more about the vertical angles theorem on:

https://brainly.com/question/24839702

#SPJ2

Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too I would appreciate it
Thanks :2

WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST :DDD

Answers

Answer:

∠e = 105° because ∠e and the 105° angle are vertically opposite angles

∠h = 75° because ∠h and the 105° angle are supplementary angles

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles

∠b = 75° because ∠b and ∠f are corresponding angles

∠a = 105° because ∠a and ∠e are corresponding angles

∠d = 75° because ∠d and ∠h are corresponding angles

Step-by-step explanation:

The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines

By sing angle properties, we have;

∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal

∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal

Similarly, we have;

∠b = ∠f = 75° because ∠b and ∠f are corresponding angles

∠a = ∠e = 105° because ∠a and ∠e are corresponding angles

∠d = ∠h = 75° because ∠d and ∠h are corresponding angles

Much of the declaration of independence consist of a list what does it list?

Answers

Answer: complaints of the wrongs done to the colonists.

Which set of data has the highest interquartile range? Group of answer choices 8,12,14,14,20 8,12,14,14,22 9,13,14,15,19 all of the above

Answers

Given:

The given data set are:

8,12,14,14,20

8,12,14,14,22

9,13,14,15,19

All of the above

To find:

The set of data that has the highest interquartile range(IQR).

Solution:

We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.

[tex]IQR=Q_3-Q_1[/tex]

All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.

For 8,12,14,14,20,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 8,12,14,14,22,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 9,13,14,15,19,

[tex]IQR=15-13[/tex]

[tex]IQR=2[/tex]

All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.

Therefore, the correct option is D.

Other Questions
Solve for the constant of variation, k. z varies jointly as x and y. x = 3, when y = -8 and z = 6. What is the main goal of monetary policy? which of these is an example of a literal equation:A: AX-BY=KB: 5X+9YC: 4+12= 4D: 8-2X=14 what is aksum cimilazetion What are 5 characteristics of realistic fiction? How do I prepare for tattoo pain? Thank you so much to whoever answers :) They are two separate questions btw If five standard (six-sided) dice are tossed onto the table, what is the probability thata. all of them will show an odd number on top?b. no aces or deuces (that means ones or twos) will show on top?C. the five dice will show five different values on top?If Five standard (six-sided) dice are rolled, one at a time. What is the probability thata. the first two dice show aces, and the next three do not?b. two of the five dice show aces, and the other three do not? How did people in the past exercise? plss helpp.. i suck at describing in spanish. my brain is about to explode from all the things that are written on page 1 d ( x ) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and s ( x ) is the price, in dollars per unit that producers are willing to accept for x units. demand function: d ( x ) help me again sorry if I am like..... when people sleep, their metabolic rate is about 2.6104c/(skg). what is the ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed? Consider the following code segments, which are each intended to convert grades from a 100-point scale to a 4.0-point scale and print the result. A grade of 90 or above should yield a 4.0, a grade of 80 to 89 should yield a 3.0, a grade of 70 to 79 should yield a 2.0, and any grade lower than 70 should yield a 0.0.Assume that grade is an int variable that has been properly declared and initialized.Code Segment Idouble points = 0.0;if (grade > 89){points += 4.0;}else if (grade > 79){points += 3.0;}else if (grade > 69){points += 2.0;}else{points += 0.0;}System.out.println(points);Code Segment IIdouble points = 0.0;if (grade > 89){points += 4.0;}if (grade > 79){grade += 3.0;}if (grade > 69){points += 2.0;}if (grade < 70){points += 0.0;}System.out.println(points);Which of the following statements correctly compares the values printed by the two methods? 18 Which of the following statements best summarizes the author's argument?a. It is vital that athletes stand for the national anthem, because it respects Dr. Martin Luther King jr. and others who fought for racial equality.b. Sports is the wrong place for social activismc. By kneeling for the national anthem, Kapernick pushed America towards making social activism a part of athletic competitiond. Colin Kaepernick brought about social change by kneeling for the national anthemThis is from the passage newsela TRUE/FALSE. a liberal is likely to be comfortable with the federal government using its power/authority to force change in the political, economic, and social realms than a conservative would be. help pls will give branliiest if you explain Can I have some days free because I really am struggling with math these days and I have no moneyPleaseGod loves you Based on research, if a child is rarely touched and held during the first few months and years of life, his or her behavior as an adult is MOST LIKELY affected in what way?a. The person would be less likely to engage in violent behavior as an adult.b. The person would be more likely to be intellectually focused as an adult.c. The person would be more likely to want to touch and be touched than the average person.d. The person would be more likely to have difficulty establishing intimate relationships.