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

Which number line correctly shows 1.5 + 2.5?

Answers

The first one is right.

Answer:

is A

Step-by-step explanation:

The answer choice A is correct because it correctly shows both numbers.All of the other answer choices didnt correctly show the answer choices,and they only showed part of the correct answers.So therfore your correct answer is A(hope this helps you if it doesnt tell me)

What is the increasing interval?

What is the decreasing interval?

What is the maximum?

What is the minimum?

What is the axis of symmetry?

Please help me

Answers

Answer:

The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Answer:The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Step-by-step explanation:

SMART PEOPLE HELP!!!! PLZ!!! I'll GIVE BRAINLYEST!! 10 POINTS!!!! I GEG YOU!!

Trinity created a game that uses 8 cards numbered 1 to 8 and six-sided cube numbered 1 to 6. Each player chooses one card and rolls the cube to ditermand the number of spaces to move on the game bored.
What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube?

A. 1/18
B. 1/16
C. 1/24
D. 1/12

Answers

Answer:

Correct option: A -> 1/24

Step-by-step explanation:

Answer:

The probability that Trinity will choose a card greater than six is

C. 1/24!

how do you write 4 more than A as an expression

Answers

Answer:

a + 4

Step-by-step explanation:

a is the initial value

you are adding four, so it becomes a + 4

Answer: Get ready....
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Answers

Answer:

really

Step-by-step explanation:

I NEED HELP IMMEDIATELY

Answers

Answer:

Step-by-step explanation:

Is 0.07 equal to 0.007

Answers

Answer:

< No

Step-by-step explanation:

Answer:

no because the one with more zeros is lower.

Step-by-step explanation:

I’m going to be posting 3 more of these plz helpppp

Answers

Answer:

with what

Step-by-step explanation:

How many people can ride in 1 car?

What is the constant of proportionality for the data in the table?

Explain how you can find the number of people that can ride in a rollercoaster with 10 cars.

Write an equation to represent the number of people, y, that can ride the rollercoaster with x cars.

Answers

Answer:

6 people

Step-by-step explanation:

take the 18 and divide it by three because this will help you solve for one car so 18 divided by three is six

Brainliest !!!!!!!!!! correct and fast answers only!!

Answers

Answer:

Step-by-step explanation:

That is the answer. The complex numbers have opposite real parts.

Five times a number plus three times the same number is the same as seven
times the number plus four. Write an equation using N as the number and
solve to find what N equals.

Answers

So I got 5N + 3N = 7N + 4

That would mean N = 4

Which one??? I need help

Answers

e is your answer. the domain is always the x values.

Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.
y ≥ 2
x ≥ 3
3 x + 8 y ≤ 40
6 x + 8 y ≤ 40
x ≤ 3
y ≤ 2
((You can select more than one))

Answers

Answer:

A. B. and D.

Step-by-step explanation:

is y=x/4 proportional or non proportional?

Answers

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:

What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
A)
(x - 3)2 + (y + 1)2 = 8
B)
(x + 3)2 + (y – 1)2 = 8
0)
(x + 1)2 – (y - 3)2 = 8
D)
(x + 3)2 - () - 1)2 = 8

Answers

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Given

[tex](x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)[/tex]

Putting the values in the formula

[tex]r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}[/tex]

Putting the values of h,k and r in general form of equation

[tex]\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8[/tex]

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Q: What did the athlete order when he needed a huge helping
of mashed potatoes?
letters: p,r,p,o,r,n,t,o,i,a,o

Answers

Answer:

The answer is proportional

Step-by-step explanation:

We have Given the following letters; p, p, r, o, m, n, t, o, i. The athlete will order A portion of mashed potatoes.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

We have Given the following letters;

p, p, r, o, m, n, t, o, i

We have to unscramble the given letters and make the word that is used by the athlete in order when he needed a huge helping of mashed potatoes.

The word which is formed with the help of the given letters used by the athlete is a portion.

Hence, the athlete will order A portion of mashed potatoes.

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kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?

Answers

48 cups!! hope this helps!!

simplify

1/4(1-2/3)^2+1/3

answer as a simplified fraction

Answers

Answer:

13/36

Step-by-step explanation:

Answer:

13/36

Step-by-step explanation:

1/4(1/3)^2+1/3

1/4(1/9)+1/3

1/36+1/3

1/36+12/36

13/36

The two triangles are similar, What is the length of DE?

Answers

Answer:

This is easy. All you need to do is set up a proportional relationship.

A proportional relationship uses variables to show similarities, in this case, in triangles.

[tex]\frac{2}{3} = \frac{x}{6.3}\\\\3x = 12.6\\\\x = 4.2[/tex]

x represents the missing side.

PLEASE ANSWER IM USING ALL MY 38 POINTS!
The local cable company charges $90 per month for basic cable and $12 per month

for each additional premium cable channel. The function cx x ( ) = + 90 12 represents

the monthly charge (in dollars), where x represents the number of additional premium

channels. How many additional premium channels would you have ordered if your bill

was $114 per month?

Answers

Answer:

114=90 + 12r

sub 90 from both sides 24=12r

divide both sides by 12

2=r

Answer: 2

Step-by-step explanation:

Answer:

you have ordered 2 additional premium channels

Fifty minus two plus the quantity three divided by six

Answers

Answer:

48.5

Step-by-step explanation:

Please mark B R A I N L I E S T

Juan made $253 for 11 hours of work. At the same rate, how many hours would he have to work to make $391?

Answers

Answer:

17 hours

Step-by-step explanation:

givens:

-he made $253 for 11 hours of work

-how many hours of work for $391

set a proportion

253 391

----- = ----

11 h h=hours

cross multiply

253h=391 times 11

253h=4301

divide 253 in both sides

4301/253

17 hours!

Which formulas return TRUE, if the value in cell B4 is 12 and the value in C4 is 29?

____ and ____ return TRUE, if the value in cell B4 is 12 and the value in C4 is 29.

Answers

Step-by-step explanDAdadadad

Answer:

Pretty sure the Answer is:

=XOR(B4=12;C4<9) and =AND(B4=12;C>9) return TRUE, if the value in cell B4 is 12 and the value in C4 is 29.

Step-by-step explanation:

An =XOR function returns TRUE if any of the clauses in it are true, while an =AND function returns true only if both are true. Therefore, since in =XOR(B4=12;C4<9) B4 does equal 12, since this is an =XOR function. =AND(B4=12;C>9) is correct because B4 = 12 and C4 is greater than 9.

Hope this made some sense...

Mark brainliest if it helped!

Sana deals in designer handbags. She bought 5 handbags at a price of 18,000 each and sold them all at a profit
of 32 percent
How much did Sana charge for the 5 handbags?

Answers

Answer:

$118,800

Step-by-step explanation:

5 handbags for 18000 each and sold at 32% profit

1 handbag=18000*1.32=$23,760

23,760*5=$118,800

IS THIS CORRECT PLZ ANSWER

Answers

yes i believe it is correct bc they are both multiplied by themselves

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.
Which terms should Paul write in squares M1 and M2?

a) 5x and −4x
b) –5x and 4x
c) –2x and 10x
d) 2x and −10x

Answers

Answer:

5x and -4x

Step-by-step explanation:

Because Paul is looking for M1 and M2 in order to get a total that is +x and a product that is equal to -20x^2, we can see that 5x and -4x help Paul get the products he wants.

Answer:

A; 5x and −4x

Step-by-step explanation:

2x + 4y-31=123 what is the equation for x and then y

Answers

Answer:

i would say

y = ( 77 - x ) / 2

Step-by-step explanation:

2x + 4y = 123 + 31

2x +4y = 154

4y = 154 -2x

y = ( 154 - 2x ) / 4

y = ( 77 - x ) / 2

can anyone help me i need my grade up bye tommorow in math pls help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

yeah I will help I got you my guy or girl

Answer:

Yea sure i'll help but um what u need help with

Step-by-step explanation:

HELPPP!!
The equation of the line in slope-Intercept form is

Answers

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b

b is the y intercept

m is the slope

the y intercept is 40

y = mx + 40

the slope is -1

y = -1x + 40

Find the missing number in the following equation.
k x 78 = 117

k = 1.5

k = 195

k = 39

Answers

The answer is 1.5 because if you divide 117 by 78 you’ll get exactly that ;)

Answer:

k=1.5

Step-by-step explanation:

[tex]k = 117 \div 78 = 1.5 [/tex]

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