Answer:
Step-by-step explanation:
Slope = (6-3)/(2-1) =3
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
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.
To know more about triangle click on,
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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.
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
−9,000÷3=−3,000 What does -3,000 tell me
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
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
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
If you tell me all the right answers I will mark you brainliest!!
Answer:
11 is natural, real, integer and whole number.
1% is irrational and real, integer.
√25 = 5 hence it's natural, real, integer and whole
√50 is rational and real, integer.
1.333… is natural, real and integer
2.3×10^5 is natural, real, integer and whole number.
3(x-2)+1=
I have to turn this in, in 10 minutes. Help.
Answer:
3x-6+1
Step-by-step explanation:
I know algebraaaaaa
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
which of the following is a solution to the linear function y = 4/5x+7
A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?
Answer:
Length of ladder =L =15
Distance from wall = D =9
Height on wall = H =??
Pythagoras equation L*L = D*D + H*H
15×15= (9×9) + H×H
225-81 = 144 =HxH
H= 12 feet.
I am right or wrong
please check
38=p−15
PLEASE HELP MEHHHHH
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
Easy points, what’s 9+10?
Answer:
19
Step-by-step explanation:
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
Where would be located on the number line below?
between P and Q
between Q and R
between M and N
between N and P
2 + 2 = ______________________________________________
Answer:4
Step-by-step
7x-6y=9
5x+2y=19 Solve the system using elimination.
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
help please i have an f!!
Answer:
1x=3y
-9x=-2y
Step-by-step explanation:
6x=-4y
17x=-2y
4y
17x=-2y
The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.
Answer: 525
Step-by-step explanation:
450+15+60=525
Answer:
The cost of each ticket is $30.
Step-by-step explanation:
$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.
450 ÷ 15 = 30
Help pleaseeeeeeeeee
Answer:
The value for X is 25
Step-by-step explanation:
I hope this helps you out!
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
Solve for x
PLS HURRY
If you want to show an increase to the original quantity, how could you change the bar diagram?
Answer:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
Step-by-step explanation: