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.
13. The seniors and juniors at Sweet Valley High School are going on a trip to Busch Gardens. The seniors filled 12 vans and 12 buses with 564 total students. The juniors filled 6 vans and 13 buses with 492 students. How many students were in each van? In each bus?
PLZZZ HELP <3
Answer:
Step-by-step explanation:
The answer is give me the answer
What percent of 65 is 13
Answer:
20 percent
Step-by-step explanation:
Just divide 100 by 65 and multiply that number by 13.
Answer:
20%
Step-by-step explanation:
This is the answer because:
1) Convert the fraction to a decimal, then multiply by 100:
13 x 100 ÷ 65 = 20
Therefore, the answer is 20%
Hope this helps! :D
I NEED HELP PLZ ANSWER THIS
Answer:
A
Step-by-step explanation:
(✓x)^5
(x^1/2)^5
x^5/2
PLSSS HELP MEEEEEEEEE
Answer:
Ryan's raft
Step-by-step explanation:
Ryan's raft has greater rate of change
It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
35 : ? = 20 : 24
QUICKLY PLEASE!!
Answer:
35:42=20:24
Hope this helps!
a rectangular prism has a volume of 4x^3 - 40x^2 + 36x
What is the distance between the points (4, -2) and (1, 2)
Step-by-step explanation:
because
so √(-3)²+(4)²
√25=5
What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)
I need help please......
The relationship between the quantities is: multiply by 25
what is the soulution to the equation 13 3/4+x=7 1/4
Step-by-step explanation:
[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]
[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]
[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]
[tex]x = - \frac{13}{2} [/tex]
Can y’all plz help me
Answer: 4.5
Step-by-step explains: 1) 2r - 9 = -18
2r - 9 + 9 = -18 + 9
2) ( 9 + 9 ) Add the numbers
( -18 + 9 ) add the numbers
2r = -9
3) Divide both sides of the equation by the same term
4) Cancel terms that are in both the numerator and denominator
r = 9/2 = 4.5
help me please!!!!! :D
Answer:
13 or 30
Step-by-step explanation
PLEASE HELP I NEED HELP!!!
Answer:
$2=1
Step-by-step explanation:
6 =$3
Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26
Answer:
C would be the correct answer. :D
Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?
A. 3
B. 9/12
C. 2 1/4
D. 4
Answer:B.9/12
Step-by-step explanation:
Answer:
2 1/4 cups
Step-by-step explanation:
3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:
3/4 x 3 = 9/4
9/4 = 2 1/4 or 2.25
So, Carlos needs 2 1/4 cups of sugar for 3 cakes
need a quick answer
A B C D E F
what function is the sequence 5, 10, 15, 20, 25, 30
Answer:
a[tex]n[/tex]=5n
Step-by-step explanation:
ASAP!! plzz help! thanks
What is the value of (-15/8 + 1.5) divided by (15 - 14 3/4) Please help :( this is worth my whole year grade
Answer:
-3/2 which is a
Step-by-step explanation: finding the exact value
The value (-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex]) = -3/2,
Hence, Option A is correct.
The given expression is,
(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])
Since we know,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
Here we have to find the value of the given expression is,
We can write it as,
⇒ (-15/8 + 1.5) ÷ (15 - 59/4)
⇒ (-15 + 12)/8 ÷ (60-59)/4
⇒ -3/8 ÷ 1/4
⇒ -3/8 x 4/1
⇒ -3/2
Hence,
(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex]) = -3/2
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There were 45 runners sister erased in the first half of the race 2/3 of them dropped out in the second half of the race to fifth of the remaining runners chopped out how many runners finish the race
Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!
Answer:I feel like it’s either C or B
Step-by-step explanation:
Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50 and put any additional money towards paying down debt. How much more can Xi-ling put towards paying down debt each month?
a.
$55.75
b.
$65.75
c.
$115.75
d.
$165.75
Answer:
it going be b 65.75
Step-by-step explanation:
just did test
The total amount of money put down by Xi-ling monthly is mathematically given as
y=65.75
What is the total amount of money put down by Xi-ling monthly?Question Parameters:
Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50
Generally, 5% of her monthly salary is mathematically given as
x=0.05*2315
x=115.75
Therefore, if she has a net income equal to 115.75
y=115.75-50
y=65.75
Xi-ling puts y=65.75 towards paying down debt each month.
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If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
7:5 is equivalent to 21: ?
Answer:
7:5 is the same as 21: 15
Step-by-step explanation:
21/7 = 3 and 3*5=15
i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5
I hope this helps :)
Answer:the answer is 15
Step-by-step explanation:
I got it right lol
HELP THIS IS DUE TODAY
A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.
Answer:
210 students
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
help me please please.
9514 1404 393
Answer:
$6.56
Step-by-step explanation:
The value is found by multiplying:
32% of $20.51 = 0.32 × $20.51 = $6.5632 ≈ $6.56
Which one is greater 10.20 or 10.02?
Answer:
10.20 is the greater one
Answer:
10.20
Step-by-step explanation:
Becuase that has .18 more than 10.02. Hope this helps
