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
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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how do you know that the repeating decimal 0.555... can be written as a fraction
Answer:
555/1000
Step-by-step explanation:
I guess it is the answer.
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Town A has 150 more residents per square mile than town B.
Town B has 150 more residents per square mile than town A.
Town A has 585 more residents per square mile than town B.
Town B has 585 more residents per square mile than town A.
Answer: b town b has 150 more residents per square mile than town A
Step-by-step explanation:
Answer:
Town B has 150 more residents per square mile than town A.
Step-by-step explanation:
I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
Please hurry bb :) Please don't put the wrong answer if u don't know <3
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
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1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answer:
4 feet and 2 inches
Step-by-step explanation:
First, find the difference between the number of feet in their throws:
21 - 17
= 4 feet
Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.
This gets us 4 feet and 2 inches, since there are 12 inches in a foot.
So, Bill's throw was 4 feet and 2 inches greater than John's.
The school that Jill goes to is selling tickets to fall musical. On the first day of ticket sales the school sold 2 senior citizen tickets and 5 student tickets for a total of $50.12 the school took in $78.12 on the second day by selling 6 senior or citizen tickets and 3 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
Answer:
The price of senior citizen ticket is $10.01 and the price of student ticket is $6.02.
Step-by-step explanation:
Let the price of senior citizen ticket be $x
and the price of student ticket be $y.
Now, from the question
The school sold 2 senior citizen tickets and 5 student tickets for a total of $50.12. That is
2x + 5y = 50.12 ...... (1)
Also from the question,
The school took in $78.12 by selling 6 senior or citizen tickets and 3 student tickets. That is
6x + 3y = 78.12 ...... (2)
Now, we will bring the two equations together and solve simultaneously
2x + 5y = 50.12 ...... (1)
6x + 3y = 78.12 ...... (2)
From equation (2)
6x + 3y = 78.12 ...... (2)
Make y the subject of the formula
Then,
3y = 78.12 - 6x
∴y = 26.04 - 2x ...... (3)
Substitute the value of y into equation (1)
2x + 5y = 50.12 ...... (1)
2x + 5(26.04-2x) = 50.12
2x + 130.2 - 10x = 50.12
Collect like terms
2x - 10x = 50.12 - 130.2
-8x = -80.08
8x = 80.08
x = 80.08 / 8
x = 10.01
Now, to determine y, substitute the value of x into equation (3)
y = 26.04 - 2x
y = 26.04 -2(10.01)
y = 26.04 - 20.02
y = 6.02
∴ x = 10.01; y = 6.02
Recall that, the price of senior citizen ticket is $x and the price of student ticket is $y.
Hence, the price of senior citizen ticket is $10.01 and the price of student ticket is $6.02.
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
Chandler tells Aubrey that the decimal value of − 1 17is not a repeating decimal. Should Aubrey believe him? Explain.
Answer:yes no maybe soooo
Step-by-step explanation:
(–6)² – (–7)²
I need a step by step process.
Given f(x) = 11 - 7x, evaluate f(-2).
Answer:
-7*-2=14+11=25
Step-by-step explanation:
100x 500 please help me with this quickly
Answer:
50000
Step-by-step explanation:
Answer:
The answer is 50000
Step-by-step explanation:
What is the image of (0,–8) after a reflection over the line y = –2?
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
greatest common factor.
32+44
Answer:
I'm pretty sure its 76
hope this helps
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%
Factor the following expression :x3 + x2
Answer:
x^2(x+1)
Plz let me know if im wrong!!!
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
A lacrosse player throws a ball upward from an initial height of 7 ft with an initial velocity of 70 feet per second. Write a function in the form h(t)=-16t^2+v0t+h0 to model this situation.
Answer:
Thats what i need help with plzzx help!!
Step-by-step explanation:
This table represents the number of ounces, u, a kitten grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−23, y-intercept=−0.2
slope=23, y-intercept=−0.2
slope=−32, y-intercept = 3
slope=32, y-intercept = 3
Weeks, w Weight in ounces, u
0 3
3 7.5
6 12
9 16.5
Is this the correct answer?
Answer:
yes
Step-by-step explanation:
What is 5(x+8)=7x+38
Simplify your answer as much as possible
Answer:
5*(x+8)-(7*x+38)=0
5 • (x + 8) - (7x + 38) = 0
2 - 2x = -2 • (x - 1)
-2 • (x - 1) = 0
-2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
x-1 = 0
x = 1
If the shirts $42 and it's on sale for $15 how much is a shirt now
Answer:
I think its 27
Step-by-step explanation:
If the vurrent cost is 15 then it took 27 dollars off the original amount
Please help will mark brainliest if correct
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
a tube is stretching
Answer:
h
Step-by-step explanation:
Pls helpppp I want good grades
I believe the answer is 2.7 but I'm not sure...
Answer:
2 7/9
Step-by-step explanation:
I think this is the answer. when you have a -- its adds. So i added the 3 to the -2/9.
Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows the amount he will pay if m=the number of miles driven?
A. 75m+.55
B. 75+0.55m
Answer:
B. [tex]75 + 0.55m[/tex]
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:
[tex]75 + 0.55m[/tex]
Hope this helps! :)
A shop sold 14 white shirts, 24 pink shirts, and 28 blue shirts, what is the radio of The number of pink shirt soul to the number of blue shirt sold?
A: 1 to 6
B: 4 to 11
C: 6 to 7
D: 6 to 13
Answer: Your Answer is C, hope this helps!
Step-by-step explanation:
if x=3 which shape has a greater perimeter
Answer:
Quadrilaterial 1
Step-by-step explanation: