Prove sum of interior angle triangle is 180​

Answers

Answer 1

Given :-

A triangle ABC .

To prove :-

Sum of interior angles of a ∆ is 180° .

Construction :-

Draw a line MCN parallel to AB . Extend line AB to K .

Proof :-

In ∆ ABC , we have ,

[tex]\angle[/tex] BAC + [tex]\angle[/tex] BCA = [tex]\angle[/tex] CBK

As sum of two interior angles of a triangle is equal to the opposite exterior angle .

Also ,

[tex]\angle[/tex] ABC + [tex]\angle[/tex] CBK = 180°

( linear pair )

Hence from above two ,

[tex]\angle[/tex]ABC + [tex]\angle[/tex] BAC + [tex]\angle[/tex] ACB = 180°

Hence Proved !

Prove Sum Of Interior Angle Triangle Is 180

Related Questions

PLEASE ANSWER THIS QUICK, IF YOU CAN YOU GET BRAINLEST!!!!

Answers

Answer:

6

Step-by-step explanation:

triangle xyz is similar to abc,enter the missing side length.

Answers

First, find the scale factor:

8/4.6 ≈ 1.73913043478

12/1.73913043478 = 6.9

6.9

If triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that ΔXYZ ≅ ΔABC.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

When two triangles are similar their scale factor is the same for each side,

The scale factor is  obtained by taking the ratio of their sides,

=  AC / XZ

= 8 / 4.6

= 1.739

The length of side XY is found as,

Scale factor = AB / XY

1.739 = 12 / XY

XY = 6.90


Thus, if triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.

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a number between 49 and 95 that is a multiple of 4, 9, and 12.

Answers

Answer:

72

Step-by-step explanation:

4*18=72

9*8=72

12*6=72

LCM (lowest common multiple) is 36

[tex]\sf HELP \: ME\:!!!![/tex]
[tex]\sf (-5x+1)(-2)[/tex]

Answers

Answer:

=>10x-2

Step-by-step explanation:

=>(-5x+1)(-2)

=>-2(-5x+1)

=>-2(-5x+1)

=>10x-2

Answer:

10x-2

Step-by-step explanation:

(-5x+1)(-2)

-2×-5x-2

10x-2

Đa thức P= 4x^2 -12x+9

Answers

Answer:

kciyyyyfdttftuttdciiiiifffffccccccutyyttttdccccckkff

hcucickkciffiiiiifiyffyysuatyyggHZZ£;YYYYYRRtrTyY56644%55646776-755522#3435%5$$4

The answer would be (2x-3)^2

19(x) = -x – 3, solve for a when g(x) = 6.
solve for x

Answers

Answer:

x=[tex]-\frac{9}{19}[/tex]

Step-by-step explanation:

X=-9/19 because the math says so

1 2/3 ÷ 1/4
2 4/7 x 3/5
3 5/6 ÷ 1/2
4 8/9 x 5/6
5 3/4 ÷ 5/6
6 7/8 x 1/2
7 2/7 ÷ 5/6

Answers

Answer:

6.6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Sort these fractions in ascending order.
A
7/9
B
2/7
C
4/5
D
5/6
ASAP PLZZZZZZ

Answers

Answer:

2/7<4/5<5/6<7/9

Step-by-step explanation:

The fractions in ascending order will be 2/7<7/9<4/5<5/6.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The given number is,

7/9,2/7,4/5,5/6

The fraction with the smallest numerator is the smallest for fractions with the same denominator. Put the numbers 2/7,4/5,5/6,7/9. In ascending order, for instance. The fraction with the highest denominator is the smallest when all the fractions have the same numerator.

The LCM of the denominator 9,7,5 and 6 is 630.

The term equivalence for the denominator is,

490/630,180/630,504/630,525/630

The fractions in ascending order are,

180/630<490/630<504/630<525/630

2/7<7/9<4/5<5/6

Thus, the fractions in ascending order will be 2/7<7/9<4/5<5/6.

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Tell whether the fraction is in the simplest form. Write yes or no

(Please answer all of them in order!!)

4 over 10
2 over 8
3 over 5
4 over 12
6 over 10
3 over 6

Answers

1. No
2.No
3.Yes
4. No
5. Yes
6. No

Answer: 4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

Step-by-step explanation:

4/10 = 2/5

4/10 is not in its simplest form.

Both 4 and 10 can be divided by 2.

Therefore, 4/10 = 2/5

2/8 = 1/4

2/8 is not in its simplest form

2 / 2 = 1

8 / 2 = 4

Both 2 and 8 can be divided by 2, therefore, 2/8 = 1/4

3/5 = 3/5

3/5 is in its simplest form

3 and 5 are prime, so they don’t have any factors other than 1 and itself so they wouldn’t be able to be simplified.

4/12 = 1/3

4/12 is not in its simplest form

4 / 4 = 1

12 / 4 = 3

4 and 12 can be divided by 4, resulting in 1 and 3. Therefore, 4/12 = 1/3.

6/10 = 3/5

6/10 is not in its simplest form

6 / 2 = 3

10 / 2 = 5

6 and 10 can both be divided by 2, resulting in 3/5. Therefore, 6/10 = 3/5

3/6 = 1/2

3/6 is not in its simplest form

3 / 3 = 1

6 / 3 = 2

Both 3 and 6 can be divided by 3, resulting in 1/2

Therefore, 3/6 = 1/2

Short Answers:

4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

giải tam giác ABC vuông tại A trong mỗi trường hợp sau:
a) b=4 cm; góc C = 62°
b) a=40 cm; góc B = 52°
c) c=42 cm; b=36 cm.

Answers

Answer:

the answer is C coz just 42 cm is abc

Finf all the pairs of numbers that have a HCF of 30 and an LCM of 3150.​

Answers

Answer:

Pair are

30 , 3150  

90, 1050

150, 630

210 , 450

Step-by-step explanation:

Let the numbers be a and b

a = 30x  and  b=30y

HCF of a and b = 30

Product of numbers  = LCM * HCF

30x * 30y = 30 * 3150

       30xy = 3150

           xy = 3150/30 =  105    

1*105   or 3* 35    or   5 * 21    or   7 * 15  

1)  105 = 1*105  

      30xy =30*1 , 30*105 =   (30 , 3150)

2) 105 = 3 * 35

 30xy =   30*3  , 30*35    = 90 , 1050

90 , 1050

3) 150 , 630

4) 210 , 450

What is the value of v

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, the Angle (6v - 4)° forms vertical opposite angle pair with 50° , so their measures is equal to one another.

that is :

[tex]6v - 4 = 50[/tex]

[tex]6v = 50 + 4[/tex]

[tex]6v = 54[/tex]

[tex]v = \dfrac{54}{6} [/tex]

[tex]v = 9[/tex]

therefore, value of v = 9°

Answer:

[tex]v = 9[/tex]

Step-by-step explanation:

They are vertically opposite angles so (6v-4) = 50°

[tex](6v - 4) = 50 \\ 6v = 50 + 4 \\ 6v = 54 \\ v = \frac{54}{6} \\ v = 9[/tex]

Hope it is helpful.....

What’s 7.445 to the nearest tenth

Answers

Answer:

7.4

Step-by-step explanation:

give brainliest

Joseph owes his mother $12.25. He borrows $6.50 more from his mother. Which of the following best represents Joseph's debt to his mother?

Answers

12.25 + 6.50 = 18.75

Answer:

18.75.

Step-by-step explanation:

If he already owes his mother 12.25 and borrows 6.50, we can add those numbers up to get the total amount of how much he owes his mother.

12.25 + 6.50 = 18.75

Therefore, Joseph's debt to his mother can be represented using the equation above.

what is (-54)(6) equal to ?​

Answers

the answer should be -324

The length of a square table is 1.25m. An ant walks around the edge of the table.How far does the ant walk?​

Answers

Answer:

5m

Step-by-step explanation:

1.25m multiply by 4 sides equals 5m

The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters.

What is the perimeter?

Perimeter is the addition of an external measure of sides it will always positive.

Perimeter of square = side + side + side + side

Given a table in form of a square,

Side of square = 1.25 m

The external measure of side = length of ant walk

1.25 + 1.25 + 1.25 +1.25 = Length of ant walkt

Length of ant walk = 5 meters.

Hence "The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters".

To learn more about Perimeter,

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Heyy, can someone please help me?? Step by step explanation, please. I WILL GIVE BRAINIEST!!

question attached below :))

Answers

Answer:

I think it's 2,4 and 4,8 maybe I'm not so sure

Simplify: 5 + 7( 6-4) – 2(5 - 1) –​

Answers

Answer:

11

Step-by-step explanation:

5 + 7( 6-4) – 2(5 - 1) =

= 5 + 7(2) - 2(4)

= 5 + 14 - 8

= 19 - 8

= 11

11 is the answer. :)

a sum of money is divided among ethan June way and Raj in the ratio of 5:6:9 after eating gave $50 to his mother the ratio becomes 3:4:6 find the amount of money ethan has after giving $50 to his mother​

Answers

The answer you are looking for is 35

Identify the type of function explain

Answers

Step-by-step explanation:

it is a quadratic function

it is because it satisfies the equation f(x)= -3-5x+4x^2

What is 1x2 x to the power of 2

Answers

Answer:

(1X2x)^2=4x^2

1X2 = 2, 2^2 = 4

Not sure if you meant to have the 2nd x there or not.

Add. Write fractions in simplest form.
11/12+(-7/12)

Answers

Answer:

I think the answer is -1 1/2

Answer : 1/3
(11 times 12) + (-7 times 12)
12 times 12 = 134+ -84 = 144 (48/144) simplify that you get 1/3

You are buying a new camera. The table shows the prices of cameras in a store
advertisement. You are willing to pay the mean price with an absolute deviation of at most
$102.

$890 $750
$650 $370
$660 $670
$450 $650
$725 $825

Your friend helped you with a list of steps to follow so you’ll find how many of the camera
prices meet your condition?
Step 1:
Find the mean of the given data.
(Search for: How to find the mean of a given data set?

Answers

$980 $670 Step-by-step explanation:

Which value of y makes the equation 7.2 - y=6?
SELECT ONE:
y=43.2
y=1.2
y=0.2
y=13.2

Answers

Answer:

y=1.2

Step-by-step explanation:

7.2-1.2=6

Light bulbs cost £3.40 each.
Yasmin buys as many as she can with £30.
How much change should she get?
Give your answer in pounds, £.

Answers

Answer:  2.80 pounds

======================================================

Work Shown:

x = number of light bulbs

3.40x = total cost to buy x light bulbs, cost is in pounds

3.40x = 30

x = 30/(3.40)

x = 8.823529 approximately

Rounding down, we get 8

Note that,

3.40*8 = 27.20 pounds which is under budget3.40*9 = 30.60 pounds which is over budget

Therefore, the highest number of bulbs that can be bought is 8.

The change given will be 30-27.20 = 2.80 pounds

Someone please answer this?

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

First, you must choose two ordered pairs from the table to solve for the slope (m):

Let (x1, y1) = (0, 5)

(x2, y2) = (1, 7)

Substitute the given values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 5}{1 - 0} = \frac{2}{1} = 2[/tex]

Therefore, the slope (m) = 2.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b ).  It is also the value of y when x = 0. Looking at the given table, (0, 5) reflects the description of the y-intercept. The y-intercept (b) is the y-coordinate of (0, 5).

Given the slope (m) = 2, and y-intercept (b) = 5, the linear equation is:

y = 2x + 5

Please mark my answers as the Brainliest if you find my explanations helpful :)

Slop is 2, y-intercept is (0,5) and equation is 2x+5

The population of Florida was recently recorded as 20,612,439 people. Write an estimation in scientific notation for the population.



about __ people

Answers

Answer:

This program wants 20 characters so -- 2.06E7

PLS HELP WILL MARK YOU BRAINLIEST!

Answers

answer: d

explanation: it just is

Which equation has infinitely many solutions? Lesson 2-4
__
3/4x + x − 5 = 10 + 2x
​3x − 2.7 = 2x + 2.7 + x
9x + 4.5 − 2x = 2.3 + 7x + 2.2
1/5x − 7 =3/4 + 2x − 25 3/4

Answers

Answer:

9x + 4.5 − 2x = 2.3 + 7x + 2.2

Step-by-step explanation:

if you simplify then you get 7x+4.5=7x+4.5 which mean 0=0

HELP Please Will give Brainliest to first correct answer

Answers

Answer:

choose B......B is the right answer

Answer:

B. -(x - 1)/5 + 13

Step-by-step explanation:

combine like terms: 9 - (x - 1)/5 + 4 --> - (x - 1)/5 + 4 + 9--> - (x - 1)/5 + 13

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