Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options

Answers

Answer 1

The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .

What is incenter of triangle?

The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.

According to the question

Point A is the incenter of triangle DEF .

Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z.  (X,Y,Z are points on middle of sides )

Now,

According to the properties of  incenter of the triangle  

1.> The circle that is inscribed in a triangle is called an incircle of a triangle.  

i.e

Point A is the center of the circle that passes through points X, Y, and Z.

2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.  

i.e

Line segment A X is-congruent-to line segment A Y .

3> A triangle's incenter always lies inside the triangle.

i.e

Point A is always inside triangle DEF .

Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .

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Related Questions

What is greater 11/12 or 2 1/3

Answers

Answer:

2 1/3

Step-by-step explanation:

Charlotte wants to know which website gains more new subscribers per amount of content. 1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A Number of new subscribers divided by number of writers (Choice B) B Number of new subscribers divided by number of likes (Choice C) C Number of new subscribers divided by number of posts (Choice D) D Number of new subscribers divided by number of words 2) Determine which website gains more new subscribers per amount of content according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, website A gains more subscribers per amount of content. (Choice B) B Yes. According to both definitions, website B gains more subscribers per amount of content. (Choice C) C No. The definitions have opposite results.

Answers

Answer:

1)

Number of new subscribers divided by number of posts.

Number of new subscribers divided by number of words.

2)

No. The definition have opposite results

Step-by-step explanation:

Khan academy said it was right tehee

Answer:

Step-by-step explanation:

number of new subscribers divided by posts

number of new subscribers divided by the number of words

no the definitions have opposite results.

It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?

Answers

46.80/13 =
3.60
$ 3.60 per gallon
Your answer would be $3.60 per gallon!

You divide $46.80 by 13 and get your answer ! Hope I helped :)

Paige ran 3 miles on Monday, walked 8 miles Tuesday
and ran a combined 11 miles on Wednesday and
Thursday. How many total miles did Paige exercise in
four days?

Answers

Answer:

22

Step-by-step explanation:

add 11 + 8+ 3

True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?

Answers

Answer:

true

Step-by-step explanation:

Please help me nobody will help me with this please

Answers

Answer:

[tex]24[/tex]

Step-by-step explanation:

Each bottle of water costs $2 so we multipy 12 by 2.

[tex]12[/tex]×[tex]2=24[/tex]

how do u find the slope of this lol

Answers

It should be 6/2 or 4

Answer:

y=3x+6

Step-by-step explanation:

3 is the slope

6 is the y intercept

remember rise/run

•first find VISIBLE points and count squares up and then right or down and left depending on if its negative slope or not

Solve for the missing angle measures

Answers

Answer:

Set 1 angles a and c are 62

Set 2 angles b and d are 120

Step-by-step explanation:

angle a = angle c = 62

angle b = angle d = 120

25 POINTS!!! Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.

Answers

Answer:

Total amount after interest is $364

Step-by-step explanation:

...

Evaluate x + 2y when x = 3.5 and y = -1.7

Answers

Answer:

0.1

Step-by-step explanation:

x + 2y

3.5 + 2(-1.7)

3.5 + (-3.4)

3.5 - 3.4

0.1

Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)

Answers

Answer:

Step-by-step explanation:

LOOK AT PICURE, THEN ANWSER QUESTION, I WILL MARK BRAINIEST WHOEVER HAS CORRECT ANWSER

Answers

Answer:

A is correct

Step-by-step explanation:

Answer:

it is letter A

Which graph has a slope of 4/5 ?

Answers

Answer:

quadratic

Step-by-step explanation:

maybe you can try searching in google

it is a quadratic graph

Find the value of x.

Answers

Answer:

x=3

Step-by-step explanation:

BRAINLIEST plzzzzzzzzzzzzzzzzzz

A = p + prt solve for t

Answers

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.

1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

versus

2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.





answer choices:

A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.


B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.


C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.


D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.

Answers

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

19 - 4x + 15x.

Please Help And Explain How To Do This.

Answers

Answer:

Step-by-step explanation:

19-4x+15x  combine like terms

19+11x

What pair of factors of -45 has a
sum of 4?

Answers

Answer:

9 and -5

Step-by-step explanation:

9*-5=-45

9+-5=4

The pair of factors is 9 and -5.

What is a factor?

The factor of a number is another number that can divide the first number without any remainder.

Let, one of the factors is x.

Then, the other factor is = -45/x.

Given,

x + (- 45/x) = 4

⇒ x - 45/x = 4

⇒  x - 45/x - 4 = 0

⇒  x² - 45 - 4x = 0

⇒  x² - 4x - 45 = 0

⇒ x² - 9x + 5x - 45 = 0

⇒ x(x-9) + 5(x-9) = 0

⇒ (x-9) (x+5) = 0

Hence, x = 9, -5.

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look at the pic below
answer quick please I need this asap
i will mark thx, star you & mark brainliest

Answers

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[tex] \cos( \frac{5\pi}{12} ) = \cos( \frac{6\pi}{12} - \frac{\pi}{12} ) = \\ [/tex]

[tex] \cos( \frac{\pi}{2} - \frac{\pi}{12} ) = \sin( \frac{\pi}{12} ) \\ [/tex]

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Also we have :

[tex] \sin( \frac{5\pi}{12} ) = \cos( \frac{\pi}{12} ) \\ [/tex]

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So :

[tex] \cos( \frac{\pi}{12} ). \sin( \frac{\pi}{12} ) + \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]

[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) \\ [/tex]

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Hint :

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) . \cos( \alpha ) [/tex]

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So ;

[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]

[tex] \sin(2 \times \frac{\pi}{12} ) = \sin( \frac{\pi}{6} ) \\ [/tex]

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[tex] \sin( \frac{\pi}{6} ) = \cos( - \frac{\pi}{3} ) \\ [/tex]

Thus the correct answer is the first option.

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An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28

Answers

Answer: 28

Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28

Answer:

the answer is D $28

Step-by-step explanation:

Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?

Answers

Answer:

11

Step-by-step explanation:

\text{Compounded Daily:}

Compounded Daily:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365

A=70900P=37000r=0.057n=365

Given values

70900=

70900=

\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}

37000(1+  

365

0.057

​  

)  

365t

 

Plug in values

70900=

70900=

\,\,37000(1.0001562)^{365t}

37000(1.0001562)  

365t

 

Simplify

\frac{70900}{37000}=

37000

70900

​  

=

\,\,\frac{37000(1.0001562)^{365t}}{37000}

37000

37000(1.0001562)  

365t

 

​  

 

Divide by 37000

1.9162162=

1.9162162=

\,\,1.0001562^{365t}

1.0001562  

365t

 

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)

log(1.0001562  

365t

)

Take the log of both sides

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\color{blue}{365t}\log\left(1.0001562\right)

365tlog(1.0001562)

Bring exponent to the front

\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=

log(1.0001562)

log(1.9162162)

​  

=

\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}

log(1.0001562)

365tlog(1.0001562)

​  

 

Divide both sides by log(1.0001562)

4164.8632402=

4164.8632402=

\,\,365t

365t

Use calculator

\frac{4164.8632402}{365}=

365

4164.8632402

​  

=

\,\,\frac{365t}{365}

365

365t

​  

 

Divide by 365

11.4105842=

11.4105842=

\,\,t

t

t\approx

t≈

\,\,11

11

Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

Hence, the parameters are given as follows:

[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]

We have to solve for t, then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]

[tex](1.00015616)^{365t} = 1.91621622[/tex]

[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]

[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]

[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]

t = 11.41

Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.

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find the measurement of the diagonal if vt=22, then ZT=?

Answers

Answer:

ZT = 11

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

[tex] \therefore ZT = \frac {1}{2} \times VT\\\\

\therefore ZT = \frac {1}{2} \times 22\\\\

\therefore ZT = 11\\\\[/tex]

What is the equation of the line in the graph?

Answers

Answer:

                                                                                                                                         

Step-by-step explanation:

Victor has 1 and a half hours before he has to leave. He starts watching a movie that runs for 107 minutes. How many minutes of the movie will he miss?​

Answers

He does not miss any of the movie

DO Y'ALL KNOW THE ANSWER?

Answers

Answer:

C

Step-by-step explanation:

12000 feet equals about 2 miles.

5280 is about half of 12000 so it is about 1 mile.

PLEASE HELP!!! GIVING BRAINLIST

If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14

Answers

Answer:

D. 14

make y the subject of the formula in equation 1 and then substitute it in equation 2

Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.

Answers

Answer:

∠1 ≅ ∠4 because yeah

Step-by-step explanation:

Chau has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?

Answers

Answer:

50 meals.

Step-by-step explanation:

30 divided by 3/5= 50

Brainliest! Correct! Fast!

Answers

Answer:

c or the third one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5 and 4/5 as an improper fraction!

ANSWER ASAP! * 10 points *​

Answers

Answer:

29/5

Step-by-step explanation:

5 4/5=(25+4)/5

29/5

Hope I helped! Please mark Brainliest!!!

Answer: The answer is [tex]\frac{29}{5}.[/tex]

Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:

Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]

Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]

Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]

Conclusion Step-By-Step Explanation:

Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]

I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

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