Given:
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).
To find:
The intersection point of medians DG and EH.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is
[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]
[tex]Centroid=\left(-0.666...,2.333\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(-0.7,2.3\right)[/tex]
Therefore, the correct option is C.
If Jill and Erika charge $2.00 per quart, how much money will they make if they sell all of their lemonade?
Answer:
Number of quarts=16
Money earned=$32
Step-by-step explanation:
Given
4 Gallons of lemonade is prepared
They charge $2 for a quart
1 Gallon= 4 Quarts
Therefore Number of quarts
Therefore Number of quarts of lemonade prepared by them = 16 quarts
As they charge $2 for each quart
⇒
Total money made if they sell it all
Therefore, if they are to sell all the lemonade that they prepared
They would earn=$32
Step-by-step explanation:
https://brainly.com/question/13881728
ASAPPPPPP ASWERRRR
I NEED HELPPPP
Answer:
3/12 = 2/8
Step-by-step explanation:
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?
Answer:
58.333....
Step-by-step explanation:
8cm=50
1cm so 25/3
8.3333333333
Answer:
56.25 or 56 1/4
Step-by-step explanation:
If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.
25 divided by 4 is 6.25 or 6 1/4
Therefor 1 cm is equal to 6.25 miles.
Now we multiply 9 by 6.25 to get 56.25
NEED HELP ASAP WILL GIVE BRAINLIEST! :)
Answer:
it adds up to 180 so the missing parts would be whats left.
Step-by-step explanation: 35 +105=( you fill it in)
the numbe you filled in minuse 180
Ronald bikes 6.9 miles each day. How far has Ronald biked in seven days.
Answer:
48.3
Step-by-step explanation:
6.9 times 7= 48.3
Mary pays $72 for sand. If the cost per pound is $0.45, how many pounds did she purchase?
Answer:
Mary purchased 160 pounds of sand
Step-by-step explanation:
$72÷$0.45=160
Make this brainiest if you felt this helped you the most have an awesome day or night!
Convert 45.1% to a decimal.
Answer:
Queen Messy here!
0.451
moving the decimals to the left when dividing (:
Step-by-step explanation:
How would you use distrubutive property for the eqaution 3(x+y)
ANSWER FAST PLSSSSS WORTH 50 BRAINLY POINTS
Answer:
3(x+y)
=3x+3y
Here he have to multiply 3 with x and y.
Answer:
please mark me brainliest and follow me my friend.
Order the decimal from least to greatest.
0.2, 0.17, 0.02, 0.72, 2.27
help me please
Answer:
0.02, 0.17, 0.2, 0.72, 2.27
Step-by-step explanation:
that's the answer!
complete the equation 4/5= ____×
1/5
Answer:
HI! I think the answer is 4.
Answer:
4/5 = 4 x 1/5
Step-by-step explanation:
Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.
Untitled Question
5 points
Which of the following points lies in the solution set of the inequality
y 3x + 10?
a) (1, 10)
c) (4, 20)
b) (-1,3)
d) (2, 16)
All you got to do is answer question means 4, 5, 7, 8! Basically all you Gotta do is read the sentence and then match it with one of the equations to the right that aren’t crossed off, !
4?
5?
7?
8?
There's no picture to it.
What is the calculated interest for $650, with a 3% simple annual interest rate, after 4 years?
Answer:
650/100 X 3 = 19.5
19.50 X 4 = 78
$78
Work out the answers
a)200
b)120
c)410
d)37.3
After swimming 55 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.
-80 -70 -60 -50 40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
Answer:
c.
Step-by-step explanation:
when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.
Answer:
C
Step-by-step explanation:
Select the correct
inswer
Which term is a term in this expression?
-3x - 7(x + 4)
A.-3
B. 3x
C.-7
D. X+4
Why did most ancient cultures writ out their mathematical texts in words
Answer:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
Step-by-step explanation:
make it braintliest please
17 - 4x = 33
What does X=?
Answer:
x = -4
Step-by-step explanation:
17 - 4x = 33
Subtract 17 from each side
17-17 - 4x = 33-17
-4x = 16
Divide each side by -4
-4x/-4 =16/-4
x = -4
Ross drives 420 miles in 6 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours?
Answer:
He can drive 840 miles
Answer: 840 miles
I hope this helps.
Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square units 18.5 square units 21 square units
9514 1404 393
Answer:
18 square units
Step-by-step explanation:
Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...
AB = 6√2
CD =3√2
The area is half the product of the base (AB) and height (CD) so is ...
A = 1/2bh = (1/2)(6√2)(3√2) = 18
The area of ΔABC is 18 square units.
_____
Additional comment
It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...
c² = a² +b²
c = 1² +1² = 2
c = √2
Answer:
B: 18 square units
Step-by-step explanation:
I'm taking the exam
Square describe it in your own words.
Answer:
square is a geometrical figure have all side equal .
49x + 9 = 49x + 83
PLEASE quickkkk i need a specific explanation on how to do this
Answer:
Step-by-step explanation:
49x + 9 = 49x +83
-49x -9
---------------------------
74
Determine the basic probability.
Will give brainliest to a good explanation and some strong evidence to back it up (i rlly need help)
250 adults were randomly selected in a grocery store they were asked how they feel about the stores coupon policy 180 were satisfied with the current policy based on the results of the sample 940 adult shop in the Store that day about how many would be expected to be happy with the current coupon policy
Answer:
870
Step-by-step explanation:
250-180=70
940-70=870
Answer:
The answer to this question is 677
answers for the 2 boxes please :)
Find the product.
-3( -12)
-3( -12) =
Find two consecutive even integers such that the sum of the smaller and 3 times the larger is 330
I am so stuck please any one help
Answer:
The 2 numbers = 81 and 83
Step-by-step explanation:
As, one number = x
The other, because it's an even number and consecutive = x + 2
So the larger numbef here is x + 2
And they are saying 3 times x + 2 plus x = 330
So let's solve!
3 times x + 2 = 3(x+2) = 3x + 6
So we will add it to x = (3x + 6) +(x) = 4x + 6
So they are saying the sum of them will be 330
So, 4x + 6 = 330
4x = 330 - 6
4x = 324
x = 324/4
x = 81
So x is the first number = 81
And the second is x + 2 = 81 + 2 = 83
So the 2 numbers are 81, 83
Lets check!
3 times the bigger number = 83 x 3 = 249
We will add it to 81 and we will get 330
So, 249 + 81 = 330
So the answer is right
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
