If J is the centroid of CDE, DE=52, FC=15, and HE= 14, find each missing measure
Answers
Answer:
DG = 26
GE = 26
DF = 15
CH = 14
CE = 28
Step-by-step explanation:
Find the image attached for the complete question
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.
The following expressions are therefore true
DG + GE = DE and DG = GE
Substituting
DG + DG = DE
2DG = DE
Given DE - 52
2DG = 52
DG = 52/2
DG = 26
Since DG = GE, hence GE = 26
Also DF + FC = DC and DF = FC
Since FC = 15, hence DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14, hence CH = 14
CE = 14+14
CE = 28
DG = 26, GE = 26, DF = 15, CH = 14, CE = 28
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts
Therefore,
DG + GE = DE ....(1)
DG = GE ...(2)
Substituting (2) in (1) ,we get
DG + DG = DE
2DG = DE
Also, DE = 52 (Given)
So, 2DG = 52
DG = 26
As, DG = GE,
Therefore, GE = 26
Also, DF + FC = DC and DF = FC
As, FC = 15,
So, DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14,
So, CH = 14
CE = 14+14=28
So, CE = 28
Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28
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Related Questions
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Answer:
[tex]\frac{7}{10}=\frac{14}{20}[/tex]
[tex]\frac{3}{4}=\frac{15}{20}[/tex]
so, [tex]\frac{7}{10}<\frac{3}{4}[/tex]
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
(4,6,4,-8,-3)
Step-by-step explanation:
Domain means of function is the set of all possible inputs for function
A yard is equal in length to 3 feet the function takes a measurement in yards and returns a measurement and see what number will be the function return if the input is 10.5
Answers
Answer:
It will return 31.5 ft
Step-by-step explanation:
Here, the function is as follows;
let the yard be represented as y and the f be the feet
It takes in yards and return feet
Mathematically, using the relation between the two;
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In de pas monch. Goran rencad 6 video games and 3 DVDS. The rental price for each video game was $290. The rental price for each DVD was $3.30. What is the total amount that Quran pent on video game and DVD rentals in the past month? X ?
Answers
Answer:
$27.30
Step-by-step explanation:
just do 290x6+330x3=2730
but just do this $27.30
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AT LEAST how many cubes like this one need to be joined together to form another LARGER SIZED CUBE?
Answers
Answer:
25?
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Create a Sample Space diagram and work out the probability - There is a 4 sided dice (numbers 1 to 4) and an 8 sided dice (numbers 1 to 8), the numbers on the 2 die are added together. What is the probability of scoring a number greater than 7? (write your answers in the form 1/2 with no spaces)
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Answers
Answer:
7 / 16
Step-by-step explanation:
Sample space is attached below :
Theoretical Probability of any event A
P(A) = (number of required outcome / Total number of possible outcomes)
Required outcome = sum greater than 7 = 14
Total number of possible outcomes = 32
P(sum greater than 7) = 14 / 32
P(sum greater than 7) = 7 / 16
Which statement about equations and expressions is true?
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An example of an expression is StartFraction z Over 365 EndFraction because it shows that two equations are equal.
An example of an equation is StartFraction z Over 365 EndFraction because it is a mathematical phrase represented by numbers, a variable, and an operation.
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Answers
Answer:
its d
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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James buys a shirt and a pair of socks on sale for 25% off.
If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks?
Enter your answer in the box.
Answers
I love these questions!
Anyway, let's figure out the original price, discount in percent, and new price. 25% is the discount in percent, the original price is unknown, and the new price is $24. Here is the equation.
O - Original price
d% - discount in percent
N - New price
O x (1 - d%) = N
O x (1 - 25%) = $24
O x (1 - 0.25) = $24
O x 0.75 = $24
0.75 0.75
O = $32
$32 - $24 = $8
Therefore, the original price of the socks is $8.
Answer:The Price of socks is
=$8
Explanation:Given -
Discount 25%
Price of shirt before discount =$24
Amount spent on both shirt and socks after applying discount
=$24
Assume the price of socks =$x
Then Shirt + Socks before discount =$(24+x)
After discount one has to pay 75% of the article.
Then = 75/100(24+x)=24
0.75(24+x)=24
18+0.75x=24
0.75x=24−18=6
x=6/0.75=8
The Price of socks is =$8
How to verify your answer -
One way
Price of shirt =$24
Price of socks =$8
Total =$32
Discount =25%
Discount for $32 is 32×25/100=$8
Amount one has to pay after discount =32−8=$24
Another way is -
Discount 25%
It means after discount it is enough if he pays 75% of the price.
In our case - Actual price is =$32
75% of $32 is =32×75/100=24
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
Your answer is dc
Step-by-step explanation:
Four pets in “Among Us” cost $16. Mr. Maxine says, at that rate, he will be able to purchase all 10 pets for $35!!! Is he right? Explain the solution
Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
factor out negative sign.
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Answers
Answer:
the perimeter would be 34 m
Step-by-step explanation:
Answer:
34 is the perimeter
Step-by-step explanation:
so first you have to divide 72 into 9 to get the other length for other side then add all the sides (9+9+8+8) to get 34
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
3e <= 6
e <= 2 (divide 3 on both sides)
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e = 1 and e = 2.
Answer:
Solutions: e = 1 and e = 2
Step-by-step explanation:
3(1) ≤ 6
3 ≤ 6
3 is less than 6, so this works.
3(2) ≤ 6
6 ≤ 6
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3(3) ≤ 6
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9 is not less than or equal to 6, so this does not work.
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Answers
Answer:
B=-12
Step-by-step explanation:
b/4+2=-1
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Answers
Answer:
5/6 is greater than 4/5
Step-by-step explanation:
4/5 = 0.8
5/6 = 0.833333
Answer:
no
Step-by-step explanation:
5/6 is greater than 4/5
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What is the common difference or ratio?
The common difference is 0.48.
The common difference is 0.50.
The common ratio is 0.98.
The common ratio is 1.02.
Answers
The common ratio is 1.02
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
From data the differences between two consecutive terms are:
24.48 - 24 = 0.48
24.97 - 24.48 = 0.49
25.47 - 24.97 = 0.5
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Answers
Answer:
Ok so I used an app called Cymath it helps with checking your work and it goes down step by step and I use it for these kind of problems....the last step (3) is your answer.
Step-by-step explanation:
I hope I helped! :)
Sarah was thinking of a number. Sarah adds 5 then divides by 5 to get an answer of 8. Form an
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Answers
Answer:
(x + 5)/5 = 8.
Step-by-step explanation:
Let the number she thought of be x, then:
(x + 5)/5 = 8.
If the picture isn't clear I can provide another if it helps
Answers
Thanks.
5x+7= 7x-11
-2x= -18
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solve the following inequality for h. h-8> 4h+5
Answers
Answer:
h < -13/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
h - 8 > 4h + 5
Step 2: Solve for h
Subtract h on both sides: -8 > 3h + 5Subtract 5 on both sides: -13 > 3hDivide 3 on both sides: -13/3 > hRewrite: h < -13/3Here we see that any value h smaller than -13/3 would work as a solution to the equation.
Plz help! Identify the function represented by the graph or table is linear or nonlinear
Answers
6p + 3p + 3
it needs to be simplified !!
Answers
the answer is:
9p = -3
p = -1/3
In 1995, the population of a town was 33,500. It is decreasing at a rate of 2.5% per decade.
a. Identify whether the function is a growth or decay function.
b. Write the function, f(n), that expresses the population of the town after (n) decades.
c. What is the population in the year 2025 to the nearest hundred?
Answers
Answer:
a. The function is a decay function
b. The function is f(n) = 33500 [tex](0.975)^{n}[/tex]
c. The population in the year 2025 is 31,800 to the nearest hundred
Step-by-step explanation:
The form exponential growth function is y = a [tex](1+r)^{x}[/tex] , where
a is the initial valuer is the rate of increase in decimalThe form exponential decay function is y = a [tex](1-r)^{x}[/tex] , where
a is the initial valuer is the rate of decrease in decimal∵ In 1995, the population of a town was 33,500
∴ a = 33,500
∵ It is decreasing at a rate of 2.5% per decade
→ The decrease means, it is a decay function, then use the 2nd form above
∴ f(n) = a [tex](1-r)^{n}[/tex] , where f(n) is the population in n decades
∴ It is a decay function
a. The function is a decay function
∵ The rate is 2.5% per decade ⇒ 2.5% each 10 years
∴ r = 2.5%
→ Divide it by 100 to change it to decimal
∵ 2.5% = 2.5 ÷ 100 = 0.025
∴ r = 0.025
→ Substitute the values of a and r in the f(n)
∴ f(n) = 33500 [tex](1-0.025)^{n}[/tex]
∴ f(n) = 33500 [tex](0.975)^{n}[/tex]
b. The function is f(n) = 33500 [tex](0.975)^{n}[/tex]
∵ We need to find the population in 2025
→ Find how many decades from 1995 to 2025
∵ There are 20 years from 1995 to 2025
∵ 1 decade = 10 years
∵ n is the number of decads
∴ n = 2 ⇒ (20/10 = 2)
→ Substitute n in the function by 2
∵ f(2) = 33500 [tex](0.975)^{2}[/tex]
∴ f(2) = 31845.9375
→ Round it to the nearest hundred
∴ f(2) = 31800
c. The population in the year 2025 is 31,800 to the nearest hundred
Pls HELP WHOEVER ANSWERS FIRST GETS BRAINLIEST!!
Mindy bought 1¾ pounds of candy for herself and for each of three
friends while she was at the candy store. How many pounds of candy
did she buy?
Answers
Answer:
The answer is 7
Step-by-step explanation:
1 3/4 x 4 = 7
What value of x makes the equation true?
-7x-5=-10x-26
Please show work
Answers
Answer:
-7
Step-by-step explanation:
-7x-5= -10x-26
-7x= -10x-21
3x= -21
x=-7
In a group of 31 students, 7 study both Art and Biology.
14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answers
Answer:
it is 358
Step-by-step explanation:
Hope this helped have an amazing day!