Totally blanking on how medians work

Totally Blanking On How Medians Work

Answers

Answer 1
Answer: FC = 16

===============================================

The three medians of this triangle are:

PFREQD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.


Related Questions

Express in the form 1:n
Give n as a fully simplified fraction.

12:2

Answers

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160

Answers

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge

Rotate the vector (5,1) 90°
clockwise about the origin.

Answers

Answer:

(-1, 5)

Step-by-step explanation:

this is correct

The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.

In this case, the original x-coordinate is 5 and the y-coordinate is 1.

When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).

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Which operation can be used to solve for x? -3.2x = -4.8​

Answers

Answer:

-3.2x=-4.8 ÷(-3.2)

x=1.5

Step-by-step explanation:

prove me wrong

6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.

Answers

Answer:

The sale price of your ticket would be $9.22

Step-by-step explanation:

First you subtract 20% off from $10.90

Which is $8.72 , then you add 5.75%

so $8.72 + 5.75% = $9.22

Hope this helps have a nice evening please give me brainliest

Alex says, if I split a shape into four parts,I have split it into quarters

Answers

The four parts need to be equal, only then the shape will be said to have splitted in quarters.

Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

a + bx: a = 15,b= -4, and x = -3

Answers

answer: 27

explanation:
plug in the numbers for their corresponding letter...
15 + (-4)(-3)
then use PEMDAS...
15 + (12)
= 27

help pls brainlest to first make sure it's correct Hank you ​

Answers

Answer:

It’s 32

Step-by-step explanation:

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?

Answers

Answer:

k= 4/3

Step-by-step explanation:

distribute 9     9k- 18=-6

add 18 to both sides  9k= 12

divide by 9

The value of k is 4/3 or 1.334.

What is Equation?

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

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1. A television is advertised for sale at 33% off. The original price is x dollars. (a) Write two different equivalent expressions to represent the sale price of the TV. (b) What do the two different expressions reveal about the relationship between the sale price and the original price? Answer:

Answers

Answer:

1. (a) x-0.33x and 0.67x

1. (b) The differences between the two is the expression and the variable (x) are in difference place.

2. (a) 7h

2. (b) 5h

2. (c) I'm not complete sure but I assume you add 7h and 5h but add a expression using those numbers and variable.

Step-by-step explanation:

~~I hope this helps~~

I'm sorry if it's late. I go to 12k as well, I'm in 7th grade. :)

Anyone help please, can anybody help me with these questions?

Answers

Answer:

what are they

Step-by-step explanation:

we cant see anything

how do you math please help me

Answers

Math is math math gives more math math is math math is more math more math is tons of math tons of math is big brain math knowledge big brain math knowledge means your math

Triangle ABC is reflected across line n to create A'B'C'.
C
57
59°
A
61
67
B
B
n
А
What is the measure of

Answers

Answer:

Angle C is 54 degrees

Step-by-step explanation:

Angle B is 67 degrees and Angle A is 59 degrees. You add those two together to get 126 and subtract that from 180 to get the measure of Angle C

The measure of angle C is 54°.

From the diagram given, triangle A'B'C is a reflection of triangle ABC, therefore, triangle A'B'C' is similar to triangle ABC.

This implies that:

angle A = angle A' = 59°

angle B = angle B' = 67°

angle C = angle C' = ?

Therefore,

angle C = 180 - (angle A + angle B) ---> Sum of angles in a triangle equals 180°.

Plug in the values

angle C = [tex]180 - (59 + 67)\\[/tex]

angle C = 54°

Therefore, the measure of angle C is 54°.

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What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin

Answers

If A is 1/3 of B then A = 1/4 the sum of A and B. 1/4 times 48 = 12

Coin A = $12
Coin B = $48 - $12 = $36

1.) Given : S is the midpoint of RT; PR = PT

Prove : PRS = PTS


2.) Given : E is the midpoint of AB and CD

Prove: AEC=BED

Answers

Answer: 1.

Given: S is the midpoint of RT

PR=PT

To Prove: PRS=PTS

Step-by-step explanation:

If PR=PT in a triangle PRT, then the triangle is isosceles triangle.

Therefore,  ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)

In ▲PRS and ▲PTS

PR=PT

∠PRT=∠PTR

PS=PS (PS is common)

therefore, ▲PRS≅▲PTS

Therefore, ∠PRS=∠PTS

Hence proved.

Answer: 2.

Given: E is the midpoint of AB and CD.

To Prove: AEC=BED

Step-by-step explanation:

If AB and CD are the diagonals of rectangle, then

diagonals AB=CD,  sides AC=BD and AD=BC

In ▲AEC and ▲BED,

∠AEC=∠BED(vertically opposite angles)

AE=BE

AC=BD

therefore, ▲AEC≅▲BED

Therefore,  ∠AEC=∠BED

Hence Proved.

The proofing of each part should be explained below.

Prove:

a.

In the case when

PR=PT in a triangle PRT,

So the triangle is an isosceles triangle.

Therefore,  ∠PRT=∠PTR

Now

In ΔPRS and ΔPTS

PR=PT

So,

∠PRT=∠PTR

So,

PS=PS (PS is common)

ΔPRS≅ΔPTS

Hence proved.

2.

In the case when AB and CD are the diagonals of the rectangle,

So,

diagonals AB=CD,  sides AC=BD and AD=BC

In ΔAEC and ΔBED,

So,

∠AEC=∠BED

That means

AE=BE

AC=BD

therefore, ΔAEC≅ΔBED

Hence Proved.

Learn more about the midpoint here; https://brainly.com/question/24600215

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

There should be 675 boys
i think the answer is 675:)

Is it a function or not a function? Please help me??

Answers

Answer:

No

Step-by-step explanation:

wich structure ate found in plant cells but not in animal cells multiple choice​

Answers

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =

Answers

The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1

How to evaluate the piecewise function f(x) for the input values

From the question, we have the following parameters that can be used in our computation:

The graph of a function and a set of input values

The input values are given as

–2, 0, and 4

Next, we read the above input values from the graph

Using the above as a guide, we have the following:

f(-2) = 2

f(0) = 3

f(4) = -1

Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1

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the quotient of 5 ÷A is equal _ the quotient of A ÷ 5 ​

Answers

Answer:

5÷A and A÷5=A×A and 5×5=A=25

What is 40/9 as a mixed number

Answers

Answer:

4 4/9

Step-by-step explanation:

40÷9=4r4

Therefore:

409=449

Answer:

4  4/9

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hope this helps :)

PLZ HELP ME. 3 questions be my angel.

Answers

53% for the first oneeee

Answer:

82

Step-by-step explanation:

eat good


Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?

Answers

Answer:

40.39

Step-by-step explanation:

70% of 57.70

70x57.7/100 =4039/100 = 40.39

The coat will cost 40.39 on sale

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

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