state and
prove angle
angle
sum property of triangle​

Answers

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

We need to prove angle sum property.

What is angle sum property?

The sum of interior angles of a triangle is 180 degrees

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle

Since PQ is a straight line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180°  ………(1)

Since PQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and ∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180°.

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State Andprove Angleanglesum Property Of Triangle

Related Questions

2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:
a. Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
b. Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.​

Answers

Answer:

B

Step-by-step explanation:

If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.

It takes Kevin 5 minutes to jog once around a
circular track that has a diameter of 400 meters.
About how many meters per minute is Kevin
jogging?
A. About 250 meters per minutes.
B. About 350 meters per minute.
C. About 450 meters per minute.
D. About 500 meters per minute.

Answers

A. About 250 meters per minutes.

Rachel loves to read. Her favorite books are Dr Suess. For every 13 books Rachel owns 8 are Dr Suess books.
If Rachel had 32 Dr Suess books, how many books did she have in total?

Answers

Answer:

32

Step-by-step explanation:

A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing fee for each ticket. What is the cost of one ticket without the processing fee?

Answers

7.50$ for each ticket without the processing fee

10 points !!

Which expression is equivalent to this polynomial x^2+12

Answers

Answer:

expand x^2+12 --> results in A

Write the Linear Equation (y=mx+b) from the following table:

Answers

Answer:

y=3x+2

Step-by-step explanation:

y2 - y1 / x2 - x1

17-11 / 5-3 = 6/2 = 3

m = 3

17 = 3(5) + b

17 = 15 + b

b = 2

(please correct me if i did this wrong)

how many real sixth roots does 1 have

Answers

Answer:

Im pretty sure it's 2, but Im not sure

Step-by-step explanation:

graph the image of V (3,–7) after a rotation 180° clockwise around the origin.

Answers

Answer and Step-by-step explanation:

It is in the screenshot.

The point is (-3, 7), and would be noted as V'.

#teamtrees #WAP (Water And Plant)

Image of the point V is V' = (-3, 7) as shown in the graph below.

What is Coordinate Geometry?

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.

As per the given data:

Coordinates of point V = (3, -7)

Rotation to be given = 180° (clockwise)

For drawing the image of point V (3, -7):

Step 1: Draw a line passing through the origin and V (3, -7) extending through 2nd and 4th quadrant.

Step 2: Change sign of x and y coordinates as rotation is of 180° and mark the point in the 2nd quadrant.

Image of the point V is V' = (-3, 7) as shown in the graph below.

Hence, the image of the point V is V' = (-3, 7).

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Solve either of the correct equations using any method. Round to the nearest whole number.
D =
days

Answers

Answer:7

Step-by-step explanation:

on edg

Answer:

7 days

Step-by-step explanation:

Graph the line with the given slope that passes through the given point
Slope=2;(-1,4)

Answers

Answer:

         B

Step-by-step explanation:

Point (-1, 4) it's point where x-coordinate is -1 and y-coordinate is 4

Graph in B is the only one passing through (-1, 4)

The equation of the line is y = 2x + 6. The graph is represented by B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope of the line is 2 and the point through which it is passing is (-1,4).

The equation of the line will be calculated as,

y = mx + c

y = 2x + c

4 = -2 + c

c = 6

The equation will be written as,

y =2x + 6

The graph of the line is attached with the answer below.

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HELP DUE IN 15 mins need help ASAP please!!!!!

Answers

idek but imma ask mah mate who's a maths genius or whateva to help out ig

Which of the following equations represent exponential growth functions? Choose all that apply.
a) f (x)=4^x
b) f (x)=(1/4)^-x
c) f (x)=(2/3)^x
d) f (x)= (2.3)^x
e) f (x)=(.8)^x

Answers

Option:-

a) f(x) = 4^x is applicable

b) f(x) ={ (1/4)^-x = 4^x }is applicable

c.) f(x) = (2/3)^x is not applicable

d.) f(x) = (2.3)^x is applicable

e.) f(x) = (.8)^x is not applicable

Options (a), (b) and (d) are exponential growth functions.

What is Exponential function?

An exponential decay is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.

By the Exponential decay form,

An exponential decay is in the form: y = abˣ

(a) f (x)=4ˣ is applicable as 4>1

(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1

(c)  f (x)=(2/3)ˣ is not applicable because 2/3<1

d) f (x)= (2.3)ˣ is applicable as 2.3>1

e) f (x)=(.8)ˣ is not applicable, 0.8<1.

So options (a), (b) and (d) are applicable for exponential growth functions.

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solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3

Answers

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

use inverse trig to find x

=x=41.8

Resolver usando recíprocos y multiplicativo inverso: 2X-8 = 2 5​

Answers

Respuesta:

x = 33/2

Explicación:

Primero, suma 8 y luego divide 2 pa tener x solo.

what is the equation of the vertical line through (2, 3) hurry! 40 points

Answers

Step-by-step explanation: The equation of a vertical line can always be written as x = the x-coordinate of the given point.

So in this case, our equation is x = 2.

Help me please!! I don’t know what a quadratic graph is and need help answering this question! ASAP

Answers

Answer:

C

Step-by-step explanation:

What is the measure of ∠XYZ? show your work

Answers

Answer:

i don't know..........,......

I REALLY REALLY NEED HELP ON THIS I DON'T UNDERSTAND IT!!!!!!!!!!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

in order for it to be a triangle the angles have to add up to equal 180

5+75+100=180 so its not a

10+80+90=180 so its not b

20+60+100=180 so its not c

45+45+45=135 so its d because the angles dont add up to 180

50+50+80=180 so its not e

Answer:

D

Step-by-step explanation:

To be a triangle, you have to have 180 degrees. if you add up all of the sides, it should give you 180. If it doesn't, it isn't a triangle. I hope that helped! :)

Plz consider giving me brainliest answer as I am trying to reach a new level, thanks!

I don't know how to give brainliest tho.

The radius of a circle is 2 millimeters. What is the circle's area?
r=2 mm
Use 3.14 for .
sanare millin

Answers

Answer:

12.56 mm²

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

Plug the given values into the area equation

[tex]A=3.14*2^{2}\\A=3.14*4\\A=12.56[/tex]

Therefore, the area of the circle is 12.56 mm².

I hope this helps!

In ΔMNO, n = 92 inches, ∠N=119° and ∠O=20°. Find the length of m, to the nearest 10th of an inch.

Answers

Answer:

Step-by-step explanation:

The length of the side of the triangle will be 69 inches.

What is the sine law?

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The sine law in the triangle ΔMNO is given as,

n / sin N = m / sin M = o / sin O

The third angle is calculated as,

∠M + ∠N + ∠O = 180°

∠M + 119° + 20° = 180°

∠M = 41°

The length m is calculated as,

n / sin N = m / sin M

92 / sin 119° = m / sin 41°

m = 69 inches

The length of the side of the triangle will be 69 inches.

More about the sine law link is given below.

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Find DC (Image Below)

Answers

Answer:

79239729379249

Step-by-step explanation:

your aswer is 284389300 oo

Which is the graph of y= -x-3?

Answers

Answer:

Graph a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to start, I would use the slope intercept, in this case -3 which lets you know the slope meets the y axis at (0,-3) since you have that point, you count with the slope.

now slope is rise over run, therefore, it would be y over x and since the y in this case is 3, you'd go up three from your point. since x is 4, you'd go right four units from where you are. since A is the only graph that follows that, A would be correct.

add x³-2x²y+4xy²-y³,2x³-5xy²+3x²y-4y³​

Answers

Answer:

Step-by-step explanation:

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

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10

feet.


Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular

wall?


Answers

Answer:

[tex]W \le 6[/tex]

Step-by-step explanation:

Given

[tex]Area = 60ft^2\ (max)[/tex]

[tex]Length = 10ft[/tex]

Required

Represent the width as an inequality

First, we represent the area as an inequality.

[tex]Area = 60ft^2\ (max)[/tex]

max as used above means less than or equal to.

So, we have:

[tex]Area \le 60[/tex]

The area of a rectangle is:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W \le 60[/tex]

Substitute 10 for L

[tex]10 * W \le 60[/tex]

Divide both sides by 10

[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]

[tex]W \le \frac{60}{10}[/tex]

[tex]W \le 6[/tex]

In the equation below, what value of bresults in an
equation with infinitely many solutions?
3(bx - 1) = -3 + 12x

Answers

Step-by-step explanation:

3bx-3 = -3+12x

3bx=-3+3+12x

3bx=12x

3bx/3=12x/3

bx=4x

bx/x=4x/x

b=4

when is season 3 of Jurassic Park camp Crutasus coming out TELL ME THE REAL ANSWER

Answers

Jurassic Park: Camp Cretaceous season 3 is planned to release anywhere from September to October of 2021.

Answer:

It depeands on where you live but it should be out in America on January 30, 2021

Step-by-step explanation:


True or False: Exponential growth and exponential decay graphs are always
functions

Answers

Answer:

true

Step-by-step explanation:

Answer: The answer is TRUE

Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!

Answers

Step-by-step explanation:

well..this is the answer..using..time formula

please please help with equations

Answers

Answer:

Clara: y=40x+ 50 Hector: y=35x+100To cost the same we need to set the equations equal to each other 40x+50=35x+1005x=50 --> x= 10hours I do exams and quizzes if your interested!

A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?

Answers

Answer:

365.50 dollars

Step-by-step explanation:

multiply 270 by 35% then add that to 270

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