Mathematics College

Where is the point of concurrency of the angle bisectors of a triangle?
A) outside the triangle
B) inside the triangle
C) on the triangle

Answers

Answer 1

Answer:

  B)  inside the triangle

Step-by-step explanation:

That point of concurrency is called the "incenter" as it is the center of the largest circle that can be inscribed in the triangle. It is always located inside the triangle.

Each angle bisector must be inside the triangle, so their point of intersection must be inside the triangle.

Answer 2

Final answer:

The point of concurrency of the angle bisectors of a triangle called the incenter, is always located inside the triangle.

Explanation:

The point of concurrency of the angle bisectors of a triangle is known as the incenter. This point is where all three angle bisectors of a triangle intersect, and it is always inside the triangle.

No matter what type of triangle it is—scalene, isosceles, or equilateral—the incenter is always located within the interior of the triangle, serving as the center of the triangle's incircle, which is a circle that is tangent to all three sides of the triangle. Thus , the correct option is B.

Related Questions

What is the solution to this equation?

3(4x + 3) = 2x - 5(3 - x) + 2

Answers

Remove the brackets.
12x + 9 = 2x - 15 + 5x + 2

Collect the like terms.
12x + 9 = 7x - 13 

Subtract 7x from both sides.
12x - 7x + 9 = -13
5x + 9 = -13

Subtract 9 from both sides.
5x = - 22

Divide by 9
x = - 22/5
x = - 4.4

Check
=====
3(4*-4.4 + 3) = 2(-4.4) - 5(3 - -4.4) + 2
3(-17.6 + 3) = -8.8 - 5(7.4) + 2
3(-14.6) = - 8.8 - 37 + 2
-43.8 =? - 45.8 + 2
-43.8 = -43.8

And it does check.

what is the simplified form of 3a4b-2c3?

Answers

Final answer:

The expression 3a4b-2c3 is already in its most simplified form because they are not like terms, thus cannot be combined.

Explanation:

The given expression 3a4b-2c3 cannot be simplified further because it consists of variable components. Each of these components -- 3a, 4b, and 2c3 -- represent distinct and separate entities in the equation. Unlike in some mathematics problems, these components cannot be combined or simplified because they are not like terms. In algebra, like terms are terms that contain the same variables and powers. So only if the given equation was 3a + 2a or 4b - 3b, then they could be combined. But as it stands, 3a4b-2c3 is already in its most simplified form.

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X^3-64=0
Solve the equation

Answers

x^3 - 64 = 0

We want to solve for x. Start by getting x by itself on one side.
We can do this by adding 64 to both sides of the equation.

x^3 = 64

Now, to get rid of the 3rd power that x is raised to, we can raise both sides to the 1/3 power

(x^3)^1/3 = 64^1/3

(x^3)^1/3 is the same as x 

So x = 64^(1/3) and 64^(1/3) = 4

So x = 4 :)

The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?

Answers

Consider this option:
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
for x of the 2d endpoint of the diameter: x=4*2-2=6;
for y of the 2d endpoint of the diameter: y=6*2-5=7.

answer: (6;7)

Answer:

(6,7)

Step-by-step explanation:

The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5)

Since center is the mid point of two end points of diameter .

So, we will use mid point formula

[tex](x,y)=(4,6)[/tex]

[tex](x_1,y_1)=(2,5)[/tex]

Mid point formula : [tex]x =\frac{x_1+x_2}{2}[/tex] and [tex]y =\frac{y_1+y_2}{2}[/tex]  

Substitute the values

[tex]4 =\frac{2+x_2}{2}[/tex] and [tex]6 =\frac{5+y_2}{2}[/tex]  

[tex]8 =2+x_2[/tex] and [tex]12 =5+y_2[/tex]  

[tex]6=x_2[/tex] and [tex]7=y_2[/tex]  

Thus [tex](x_2,y_2)=(6,7)/tex]

Thus the other endpoint of the diameter is (6,7)

Elliot buys a 5 pound package of ground beef for 12.50. At the same unit price, how much would 8 pounds of ground beef cost

Answers

12.5/5=2.5 which is the the price per pound
So 8*2.5=20
It should be 20 dollars
12.5 / 5 = 2.5

2.5 x 8 = 20

8 pounds of ground beef would cost $20.

NEED HELP ASAP PLEASE!

Answers

5(x+5) < 85
5x + 25 < 85
5x < 85 - 25
5x < 60
x < 60 ÷ 5 
x < 12
Answer:
x < 12

Explanation:
To solve this, we will need to isolate the x on one side of the inequality as follows:
5(x+5) < 85
x+5 < 85/5
x+5 < 17
x+5-5 < 17-5
x < 12

Hope this helps :)

the ratio of cookies to glasses of milk is 3:1 if there are 25 glasses of milk how many cookies are there

Answers

answer is 75:25 because if you multiply on one side, you do the same to the other

Frankie is practicing for a 5-kilometer race. His normal time is 31 minutes 21 seconds. Yesterday it took him only 29 minutes 38 seconds. How much faster was Frankie yesterday than his normal time?

Answers

31 min 21 sec
- 29 min 38 sec

=1 min 47 sec

Its Simple! 1 minute and 47 seconds! You gotta do 31 mins and 21 seconds - 29 mins and 38 seconds! Which give you a whooping 1 minute and 47 seconds! I hope i helped you!

The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. mc018-1.jpg How many roots of f(x) are rational numbers?

Answers

There are three rational roots

Answer: there are 3 root of f(x)  which are rational numbers (2,0), (3,0) and (4.5,0)

Explanation:

Rational numbers are those that can be written in the form of p/q: q should not be equal to zero

since, the graph cuts x-axis at three points but rational are two

all integers are rational numbers

attached is the graph please have a look at it

What is a counterexample for the conjecture? Any number that is divisible by four is also divisible by eight

Answers

The value 12 is a good counterexample. It is divisible by 4 (since 12/4 = 3 is a whole number with no remainders or decimal portions) but 12 is not divisible by 8 (note how 12/8 = 1 remainder 4 = 1.5)

To find other examples, add 8 to 12 to get 20. Then add on 8 more to get 28. This pattern continues on forever. 

what is the maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6
A. 3
B. 4
C. 5
D. 2

Answers

A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.


(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)

write an expression that is equivalent to 5 cubed

Answers

5*5*5

5^3 is three 5s multiplied together. 

A cruise boat travels 48 miles Downstream in 2 hours and returns Upstream in 3 hours. Find the speed of the boat in still water and the rate of the Stream.

Answers

Let x be the speed of the boat in still water and y be the speed of the current of the river.
The downstream speed will be x+y, the upstream speed will be x-y.
but:
distance=speed*time
therefore; as the boat travels in 2 hours downstream we shall have:
2(x+y)=48......i
and as the boat travels upstream we shall have:
3(x-y)=48........ii
simplifying i and ii we get:
x+y=24....iii
x-y=16....iv
adding the above iii and iv we get
2x=40
x=40/2=20
substituting x=20 into iii we obtain:
20+y=24
y=24-20
y=4
so the speed of the boat in  still waters is 20 miles per hour
the rate of the stream is 4 miles per hour

Final answer:

The speed of the cruise boat in still water is 20 mph and the rate of the stream is 4 mph.

Explanation:

The student is asking about a problem related to the rate of the boat in still water and the rate of the stream, given the times it takes to travel downstream and upstream. To solve this, we can use the following steps:

Let the speed of the boat in still water be b mph and the rate of the stream be s mph.Downstream, the effective speed is b + s and upstream it's b - s.Using the formula distance = speed  imes time, we have two equations based on the given information: 48 miles = (b + s)  imes 2 hours for downstream and 48 miles = (b - s)  imes 3 hours for upstream.Solve the two equations simultaneously to find the values of b and s.

Let's solve the equations:

48 = 2(b + s)  => 24 = b + s48 = 3(b - s)  => 16 = b - s

Adding both equations:

24 + 16 = (b + s) + (b - s)  => 40 = 2b  => b = 20 mph (boat speed in still water)Subtracting the upstream equation from the downstream equation:24 - 16 = (b + s) - (b - s)  => 8 = 2s  => s = 4 mph (rate of the stream)

Therefore, the speed of the boat in still water is 20 mph and the rate of the stream is 4 mph.

5 is one-fourth of a number c.

Answers

The value of number c is 20

5 as one-fourth of a number c is represented using the following equation

[tex]5 = \frac 14 \times c[/tex]

Multiply both sides of the above equation by 4

[tex]4\times 5 = \frac 14 \times c \times 4[/tex]

Evaluate the products

[tex]20 = c[/tex]

Rewrite the above equation as

[tex]c = 20[/tex]

Hence, the value of number c is 20

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There are 3 grams of sodium in 1/2 of a liter of soda.how much is in 2/3 of a liter

Answers

[tex]\bf \begin{array}{ccll} \stackrel{sodium}{grams}&\stackrel{soda}{liters}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 3&\frac{1}{2}\\\\ g&\frac{2}{3} \end{array}\implies \cfrac{3}{g}=\cfrac{\quad \frac{1}{2}\quad }{\frac{2}{3}}\implies \cfrac{3}{g}=\cfrac{1}{2}\cdot \cfrac{3}{2}\implies \cfrac{3}{g}=\cfrac{3}{4} \\\\\\ 12=3g\implies \cfrac{12}{3}=g\implies 4=g[/tex]

The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression. A. The initial number of bacteria is 57, and the growth rate is 3.1% per hour. B. The initial number of bacteria is 57, and the growth rate is 31% per hour. C. The initial number of bacteria is 131, and the growth rate is 5.7% per hour. D. The initial number of bacteria is 131, and the growth rate is 57% per hour.

Answers

Answer:

The answer on edgenuity for dividing fractions is -3 on the assignment good luck!

Step-by-step explanation:

The circle has a diameter of 16 inches. What is the area of the circle?

Answers

A≈201.06 Do a google search

Formula for area of a circle is pi*radius^2. The radius of a circle is half the diameter.

Since the diameter given is 16 inches, the radius is 8 inches.

Using the formula, we find that the area is pi*(8 inches)^2 = 64pi inches^2

A slice is made parallel to the base of a right rectangular pyramid, as shown.

What is the area of the resulting two-dimensional cross-section?

Enter your answer in the box.


in²

Answers

The answer is 5 I just took the test

Can you share 35 equally?

Answers

it depends how many people or things
Most numbers can be divided equally with fractions. 17 1/2 is your answer. Hope this helps.

$10.00 divided by $1.49

Answers

$6.71 is the answer that you are looking for. 
10.00/1.49
6.7 is the answer

In the Chang family's budget, 0.6% of the expenses are for internet service. What is the fraction of the family's expenses is for internet service? Write the fraction in the simplest form.

Answers

A percent is actually a fraction already. (If you break up the words to have "per cent," this might seem more intuitive. "Cent" is from Latin centum, and is the same root in words like century. Here, it's like per hundred.)

You probably know intuitively that 100% is one whole, for example. But it's also the same as saying [tex] \frac{100}{100} [/tex]. Likewise, 67%, for instance, is actually [tex] \frac{67}{100} [/tex].

In this case, you can write [tex] \dfrac{0.6}{100}[/tex]. But you may realize that you shouldn't have a decimal in a fraction. For every number after the decimal, you multiply the whole thing by a corresponding power of ten. Here, you write [tex] \dfrac{0.6}{100} * \dfrac{10}{10} = \dfrac{6}{1,000} [/tex]. Since 10/10 is equal to 1, we aren't changing anything (Identity Property). If you had 0.06/100, you would multiply by 100/100, and so on...

So, now we have [tex] \dfrac{6}{1000} [/tex]. Our next step is to simplify. The greatest common factor of these two numbers is 2, we rewrite as [tex] \dfrac{3}{500} [/tex] to put it into simplest form. And that's all there is to it. 

what is the value of x in the diagram
a.1/2
b.4/21
c.2
d.4

Answers

◆ Triangles ◆

Hey !!

Check the attachment.
Hope it helps you :)

Answer:

2 so your answer would be C.

Consider the system of equations. x – 3y = 9 1/5x - 2y = -1

Answers

 x – 3y = 9  ------------ (1)
1/5x - 2y = -1---------- (2)

(1):
x - 3y = 9
x = 9 + 3y ----------- (1a)

(2):
1/5x - 2y = -1
x - 10y = -5 --------- (2a)

Sub (1a) into (2a):
9 + 3y - 10y = -5
9 - 7y = -5
-7y = -5 - 9
-7y = -14
7y = 14
y = 2 ---------- Sub into (1a)

x = 9 + 3y 
x = 9 + 3(2)
x = 9 + 6
x = 15

Ans: x = 15, y = 2


Answer:

B

Step-by-step explanation:

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 130 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last box? Please explain how you get the answer

Answers

12 boxes are needed and 20 will be in the last box.

1450/130 is 11.15 so You round up and need 12 boxes (because you can’t have .15 of a box) so you get the 11 boxes and multiply by how much it can hold (130) and get 1430 which is 20 short of 1450 so 20 would be in the last box .
Answer:

12 boxes are needed  in all.

Last box will contain only 20 kernels.

Step-by-step explanation:

Given is :

The popped corn is put into small popcorn boxes that each hold 130 popped kernels.

There are 1450 kernels in a pound of un popped popcorn.

If all the boxes are filled except for the last box, then how many boxes are needed?

Number of boxes  = Total number of kernels/Number of kernel in each box

=> [tex]\frac{1450}{130}= 11.15[/tex]

Therefore, a total of 11+1 = 12 boxes are needed as 11.15 is more than 11.

And the last box will contain = [tex]1450-1430=20[/tex] kernels.

Therefore, the last box will have 20 kernels.

If y varies inversely as x and y is 6 when x is 12 what is x when y is 14.4

Answers

1. To solve this problem and calculate the value of  "x" when "y" is 14.4, you must apply the following formulla:
 
 y=k/x
 
 k:  It is the constant of variation or constant of proportionality.
 
 2. So, keeping this on mind, you must calculate the value o the constant of variation "k", with the values given in the problem. Then, you have:
 
 k=yx
 k=(6)(12)
 k=32
 
 3. Now, you can apply the equation y=k/x and clear the "x" to find its value:
 
 yx=k
 x=k/y
 
 k=32
 y=14.4
 
 4. Then, you have:
 
 x=32/14.4
 
 5. Therefore, the answer is:
 
 x=2.22

the answer is option A. 5

A square is ____ a parallelogram. always sometimes never submit

Answers

A square is ALWAYS a parallelogram.
You may recall that a square is a special case of rectangle, that is, one in which all the sides are equal (congruent). Additionally, a rectangle is a special case of a parallelogram, that is, one in which each angle is equal to 90° (a right angle). A parallelogram is a quadrilateral (four-sided polygon) with parallel and congruent opposite sides. A square meets these criteria 100 percent of the time, because all its sides are parallel and congruent, so choose always.

A radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station. Identify a problem with the study.
A) Some of the sample data are missing
C) The data are based on reported results
D) The correlation between the variables implies causality

Answers

The problem is that the data are based on reported results, answer C.

This is a problem because when someone self-reports information it is not always accurate.  In some instances, those who self-report are not always honest when filling out survey information.

The correct answer is D) The correlation between the variables implies causality.

What is a survey?

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.

Now it is said that, A radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station.

So, here the problem with the survey that the survey is the self filled thus there is a possibility that the people may not be honest while filling the survey.Hence causing casualities.

Thus the correct answer is D) The correlation between the variables implies causality

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Mama Mia restaurant used start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 646464 ounces making pasta.
How many pounds of mozzarella cheese did Mama Mia start with?

Answers

the correct question is
Mama Mia restaurant used start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 64 ounces making pasta.
How many pounds of mozzarella cheese did Mama Mia start with?

Let
x---------------> total ounces of mozzarella

we know that

making pizza-----------> (1/2)*x------> x/2
therefore
making pasta-------> [x-x/2]--------> (2x-x)/2-----> x/2
making pizza=making pasta=x/2
(x/2)=64---------------> x=64*2-----------> x=128 ounces

remember that
1 ounces----------------> 0.0625 pounds
then
128 ounces*0.0625=8 pounds

the answer is 8 pounds


5a - {3b - 5[a - (b + -4a)]}

Answers

Interesting problem. When computers first came out (when dinosaurs ruled the planet), we had to deal with problems that were many brackets deep.  So  this has practical applications.

Start at the very right and keep on removing brackets and collecting like terms.

5a - {3b - 5[a - (b - 4a)]} I just changed the sign on the right bracket.
5a - {3b - 5[a - b + 4a]}
5a - {3b - 5[5a - b]} Now deal with []. You are still on the right.
5a - {3b - 25a + 5b}
5a - {8b - 25a} Finally remove {}
5a - 8b + 25a
30a - 8b
If you can solve another like this, you are well on your way to being good in computer science.

Three consecutive even integers add to −6. What are these integers?

Answers

The actual answer is 0, -2, and -4. This equals -6 and the numbers are even.
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