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The three medians of this triangle are:
PFREQDThese 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.
how do you math please help me
Express in the form 1:n
Give n as a fully simplified fraction.
12:2
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
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.
I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!
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.
Which operation can be used to solve for x? -3.2x = -4.8
Answer:
-3.2x=-4.8 ÷(-3.2)
x=1.5
Step-by-step explanation:
prove me wrong
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?
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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There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
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.
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
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.
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
4X + 11 < -21 graph represents
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
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
What is 40/9 as a mixed number
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 :)
Is it a function or not a function? Please help me??
Answer:
No
Step-by-step explanation:
Alex says, if I split a shape into four parts,I have split it into quarters
The four parts need to be equal, only then the shape will be said to have splitted in quarters.
the quotient of 5 ÷A is equal _ the quotient of A ÷ 5
Answer:
5÷A and A÷5=A×A and 5×5=A=25
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:
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. :)
Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =
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 valuesFrom 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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help pls brainlest to first make sure it's correct Hank you
Answer:
It’s 32
Step-by-step explanation:
wich structure ate found in plant cells but not in animal cells multiple choice
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.
Anyone help please, can anybody help me with these questions?
Answer:
what are they
Step-by-step explanation:
we cant see anything
a + bx: a = 15,b= -4, and x = -3
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
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 valuesangle C = [tex]180 - (59 + 67)\\[/tex]
angle C = 54°
Therefore, the measure of angle C is 54°.
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Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?
Answer:
40.39
Step-by-step explanation:
the sum of 1 1/3 and 5/6
Answer:
2 1/6
Hope this helps!
Answer:
the right answer is 9/2
Step-by-step explanation:
thanks
PLZ HELP ME. 3 questions be my angel.
Answer:
82
Step-by-step explanation:
eat good
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
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.
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Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39
Answer:
0.38
Step-by-step explanation:
Answer:
0.38
Step-by-step explanation:
please help what would the 5 be in gallons
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
Rotate the vector (5,1) 90°
clockwise about the origin.
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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What is the slope of the line whose equation is y=3/5x-4