A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
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Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Tyrone and Neil got in trouble at football practice and have to run laps as a consequence.
Tyrone, who runs at a rate of 2 laps per minute, had completed 4 laps already when he was
joined on the track by Neil. Neil's pace is 6 laps per minute. At some point, the two will have
run the same distance. How many laps will each boy have run? How long will that take?
Tyrone and Neil will each have run
laps in
minutes.
which integer is √45 closest to
Answer:
√45 lies between 6 and 7 .
Step-by-step explanation:
We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .
On Saturday, Jay went on a trail run. The posted mileage for the trail was 3.8 miles. On Sunday, he ran his usual route
of 4 3/4 miles. How many total miles did Jay run over the weekend?
A 7.5 miles
B 7 3/4 miles
C 8.3 miles
D 8 11/20 miles
Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
How many pods of peas are there?
Answer:
There are 38 pods, because 228 divided by 6= 38
Step-by-step explanation:
(number of pods)×(peas per pod)=(total peas)
Whats 3^2 in standard form?
Answer:
9
Step-by-step explanation:
3*3 = 9
if that's what you're asking
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
will mark highest !
Answer:
59 degree
Step-by-step explanation:
Since it is right angle
so 90-31
59 degree
Answer:
59
Step-by-step explanation:
this is a right angle according to the picture so it measures 90 degrees
a=90-31=59degrees
A. No solution
B. All solutions
C. One solution
Answer:
A. No solutions
Step-by-step explanation:
The solution of the equations would be a point where both functions meet but in our case since the functions are parallels to each other they will never meet there for there will never be a solution to the following system of equations.
Given=42and=16, find DG. (help fast please)
A. 38.8
B.26.4
C.44.9
D.13.6
A boy at an amusement park has 38 ride tickets. Each ride on the roller coaster costs 5 tickets. After riding the roller coaster as many times as he can,how many tickets will the boy have left?
Answer:
He will expend 35 tickets for 7 rides. 3 tickets are left.
Step-by-step explanation:
Giving the following information:
Number of tickets= 38
Tickets per ride= 5
To calculate the number of rides he can make, we need to use the following formula:
Number of rides= number of tickets / tickets per ride
Number of rides= 38/5
Number of rides= 7.6 = 7 rides
He will expend 35 tickets for 7 rides. 3 tickets are left.
Bella purchased 4.2 pounds of apples for $7.77. what is the cost of one pound of apples?
Answer:
Its $1.85 per 1 lb of apples
Step-by-step explanation:
Divide $7.77 by 4.2lb
Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?
Answer:
18%
Step-by-step explanation:
413-350=63%
(63/350)*100=18%
Car A has an initial value of 30,000 and depreciates at a rate of 20% per year. Car B has an initial value of 20,000 and depreciates at a rate of 15% per year.Car B will become greater than the value of car A during the ninth,seventh,third, or fifth year
Answer:
The value of Car B will become greater than the value of car A during the fifth year.
Step-by-step explanation:
Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.
In the attached excel file, the following are used:
Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000
Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000
Annual Depreciation expense of Car B in Year 7 = Beginning value of Car B in Year 7 = 2,000
Conclusion
Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.
It’s the 7th year
Plato
Please help me with this I’ll mark brainiest
Answer:
44/2 = ?/22
I am so glad I could help!
If you need any more help, make sure to send me a friend request.
Make sure to rate, like and give brainliest so I know how well I did.
-maddy <33
How do I give brainliest I forgot whoever lets me know how I will give them it
Give good evidence to back it up and i will give brainliest. thnx to whoever helps.
Answer:
Step-by-step explanation:
well, every hour she drives, she loses 2 gallons. so when she was 2 hours in, she was at 8 gallons, when she was 1 hour in, she was at 10 gallons, and when she started, she was at 12 gallons.
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
2 [32-(4-1) power of 3
A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?
Answer:
They will Markup the price by $19.76.
Step-by-step explanation:
Markup percent = 38%
Wholesale Price = $52
Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.
so
Markup price = 38% of 52
= 38/100 × 52
= 0.38 × 52
= $19.76
Therefore, they will Markup the price by $19.76.
Can someone please help me answer this
Answer:
45/100 and 55/100
Step-by-step explanation:
Simplify the Fraction, if you dont know how just look up fraction simplifier
Which of the following shapes is a parallelogram that always has four congruent sides?
rhombus
trapezoid
rectangle
kite
square
Answer:
Square and Rhombus
Sorry for being late
-6(-2x - 1) + 2
please i need help
Answer:
12x + 8
Step-by-step explanation:
Distribute -6 to the parentheses:
-6(-2x - 1) + 2
12x + 6 + 2
Add like terms:
12x + 8
So, the simplified expression is 12x + 8
Algebra
Please help me
Answer:
Step-by-step explanation:
3) slope is rise over run.. look at the graph and count
from the dot rise=4 run=2 4/2 = 2 slope of 3) is 2
4) rise = -3 run =1 slope of 4) is -3
5) rise =1 run =2 slope of 5) is 1/2
6) rise = ∞ run = 0 slope of 6) is undefined
Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
Need help finding x
Answer:
x= 50°
Step-by-step explanation:
the total angles in a triangle must equal 180 so just subtract 80 and 50 from 180
Answer:
x = 130°
Step-by-step:
I looked at the triangle with the angles 50° and 80°. to find the missing angle in that triangle, you want to add the numbers and then subtract 180° from that because when you add all three sides of a triangle, it equals 180°. So when you add 50° and 80°,you get 130°. Now you have to do 180° - 130° and you get 50°. Now that you have the missing angle for the last triangle, you can use that angle to find the measure for the line across from that. To do that, you have to take 180° and subtract 50°. You would get 130°. Your answer for x is 130°.
(2x-3)^2 = 4x-6
Find one value of x that is a solution to the equation
Answer:
one value of x would be x=5/2 and x=3/2
Step-by-step explanation:
-8 + (6/7) plz help i need hlep
Answer:
The answer is -0.14
Answer:
0.14 is correct i looked it up to make sure
Step-by-step explanation:
[tex] - 10 = 2x + 6[/tex]
how do I do this
Write a system of inequalities
Four friends played darts last weekend. The table below shows the number of times that each friend hit the bulls-eye and the total number of darts that each friend threw.
Friend's Name Bulls-eyes Darts Thrown
Austin 9 45
Aaron 8 20
Carey 8 10
Becky 21 35
Who had the greatest ratio of bulls-eyes to darts thrown?
A.
Becky
B.
Aaron
C.
Carey
D.
Austin
Answer:
Becky
Step-by-step explanation:
Look at it.... i mean 21:35 is the greatest in fraction, decimal and percentage.
Answer:
it's answer is C 0.8
hope it helps you