Answers
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
Learn more on centroid here: https://brainly.com/question/25845737
Related Questions
Select all that apply.
Which of the following are proportions?
Answers
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
Answers
3x + 0.5y = 35
x + y >/= 15
Possible solution: (11, 4)
11 cupcakes, 4 cookies
____________
Cupcakes = x
Cookies = y
Cupcakes are $3 each —> 3x
Cookies are $0.50 each —> 0.5y
$35 to spend: less than or equal to =
3x + 0.5y = 35
Minimum of 15: greater than or equal to >/= 15
x + y >/= 15
____________
3x + 0.5y = 35
x + y >/= 15
Solve second for y:
y >/= 15 - x
Substitute into first:
3x + 0.5(15 - x) = 35
3x + 7.5 - 0.5x = 35
Combine like terms
2.5x + 7.5 = 35
Subtract 7.5
2.5x = 27.5
Divide by 2.5
x is less than or equal to 11
So y is less than or equal to 4
Check:
4 + 11 = 15 :)
3*11 + 0.5*4 = 35
33 + 2 = 35
35 = 35 :)
Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.
Answers
Answer:
[tex]10cm^2[/tex]
Step-by-step explanation:
We are given that
Two parallel sides of trapezoid are
[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]
[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]
Height of trapezoid, h=4 cm
We have to find the area of the trapezoid.
We know that
Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]
Where a and b are two parallel sides
h=Height of trapezoid
Using the formula
Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]
Area of trapezoid=[tex]10cm^2[/tex]
What is the missing value of 5x-2y=30 (8,)
Answers
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
help me please!!!!!!!!!!!!!!!!
Answers
Answer:
The second store is cheaper
1st store is $290 and the 2nd is $257
What is the value of x?
Enter
X :
(Look at the photo)
Answers
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
Plz help due tomorrow
Answers
Answer:
4n+2=15
Step-by-step explanation:
If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~
Simplify expression below (7 + i)-(6-4)
Answers
Answer:
5 + i
Step-by-step explanation:
Answer:
5+i is the answer
Step-by-step explanation:
cause 6-4=2-7=5+i
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answers
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answers
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
HElppppppppppp
I don’t get it
Answers
Answer:
You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps
Step-by-step explanation:
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answers
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?
Answers
Answer:
16 years
Step-by-step explanation:
Principal amount (P) = $600
Rate of interest (R) = 2.75%
Simple interest (S.I.) = $264
Let t denotes time period.
[tex]S.I.=\frac{PRT}{100}[/tex]
[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]
[tex]t=16[/tex] years.
Therefore,
interest of $264 will be earned in 16 years.
PLEASE HELP ASAP Will MAKE BRAINLIST
Answers
Answer:
The second answer is correct
This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?
Answers
Answer:
It's a Rhombus!
The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house
Answers
Answer:
12 i think
Step-by-step explanation:
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answers
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
Someone please helppppp!
Answers
Answer:
AB=24.5
Step-by-step explanation:
5x+7=7x
7=2x
x=3.5
7(3.5)=24.5
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answers
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°What is the y-intercept of y=5x-2
Answers
Answer:
the y intercept is -2
Step-by-step explanation:
the y intercept is always the value on the end
Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.
Step-by-step explanation:
3x - 6 less than or equal to -3 on a graph
Answers
The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers, how many readers does the newspaper have?
Answers
Answer:
The newspaper has 1,600 readers.
355+480 is the same as 335+ ?
Answers
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2
Answers
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
Pls help me ASAP thank you!!
Answers
8(9f + 5)
72f + 40
Solution
72f + 40
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?
Answers
Given:
The function that represents how the amount of fuel changes as a function of distance flown is
[tex]f(x)=-0.9x+665[/tex]
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
[tex]f(x)=-0.9x+665[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-0.9[/tex]
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answers
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answers
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
To know more about the general form of equation of circle, here
https://brainly.com/question/1506955
#SPJ2
-2(v - 2) = -3 – 2v
Answers
Answer:
no solution
Step-by-step explanation:
Given
- 2(v - 2) = - 3 - 2v ← distribute left side
- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )
- 2v = - 7 - 2v ( add 2v to both sides )
0 = - 7 ← not possible
This indicates the equation has no solution
Expression 3x²+4x-5
x=0
Answers
Answer:
x = {1/3, 0}
Step-by-step explanation: