Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x
x=
Based on the centroid theorem, the value of x is: 2.5.
What is the Centroid Theorem?The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Substitute4x + 5 = 2/3(9x)
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
Therefore, based on the centroid theorem, the value of x is: 2.5.
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solve pls brainliest
a
distance is -8
b
-7 - 1 = -8
1 - (-7) = 8
c
l-7 - 1l = 8
l 1 - (-7)l = 8
hope this helps
if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute
Answer:
John can cover 2 miles in 1 minute
Step-by-step explanation:
There are 180 minutes in 3 hours. So 360 ÷ 180 = 2
Enjoy your day! ( ･U･)♡
How much would it cost to build 10 houses if it costs 7 500 000 per house.
Answer:
75 000 000
Step-by-step explanation:
7 500 000 times 10 = 75 000 000
PLS HELP ME if you don’t know then don’t comment simple as that
Answer:
Step-by-step explanation:
calculated using excel
0.233529450857587
0.000138256957819058
Aliza plays basketball every Tuesday and
Thursday. She practices piano every other
day. If June started on a Monday, and if
Aliza played piano that day, on how many
days did she both play basketball and practice piano in June (which has 30 days)?
A. 2 days
B. 4 days
C. 5 days
D. 7 days
Answer:
4 days
Step-by-step explanation:
June starts on Monday
for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday
so we have 5 mondays and tuesdays
4 wed, thu, fri, sat, sun
Aliza played piano on june1 monday
So aliza played basketball on 5 tues + 4 thurs = 9 days
for calculating both basketball and paino
piano day should be on tuesday or thursday
from the below picture u can see pink dots are piano days
and yellow circles are both piano and basketball days
so on alternate weeks they are coinciding
so there are 4 days
what is the value of X and what is the value of Y
PLEASE HURRY
The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.
Describe the order of operations you would use to
evaluate 8 +
4(32)
"The first step is to…then..finally
Write 21/5 x 5/14 in its simplest form
Pls help
Answer:
3/2
Step-by-step explanation:
21/5×5/14
105/70
divide by 5
21/14
divide both by 7
3/2
Last person got it wrong so, give it a try? At the beginning of the year, Sam weighs 57 pounds. During the year, he loses 4 pounds and then gains 9 pounds. What is Sam's weight now? Also, its not 64 so, dont tell me 64 thx
Answer:
62 Pounds
Step-by-step explanation:
Sam weighs 57 pounds
he loses 4 pounds So he has 53 pounds now
then gains 9 pounds
53 + 9 = 62
Therefore Sam weighs 62 pounds
Define "risk".
1. A mutual fund fee used to pay brokers for steering clients to the fund.
2. What a job will pay you.
3. Unemployment due to job switching.
4. The potential for loss.
Suppose the matrix R represents a railroad map between cities 1, 2, 3, 4, and 5.
How many different ways can you travel from city 1 to city 3 with exactly 1 connection
How many different ways can you travel from city 2 to city 5 with exactly one
connection?
Observing the given matrix we can say that:
1) The value is 4.
2) The value is 2.
So analyzing the different paths that can connect city 1 to city 3: The value is 4. It represents the number of one-stop routes between City 1 and City 3 that pass through City 2.
For the second statement we will have the value is 2. It is the number of direct routes from City 2 to City 5.
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How to Solve 3x = 18?
Step-by-step explanation:
devide both sides on 3 and x=6
as u can see 3*6=18
u have to find a number hat when its multiplied on 3 equals 18
so x(the number were searching for) is 6
Answer:
x = 6
Step-by-step explanation:
1. Divide Both Sides By The Coefficient
18/3 = 3x/3
6 = x
2. Move the variable to the Left
x = 6
Topic: Mathematics 8, Pre-Algebraic Skills
I think of a number ÷ 4 and add 11 result is 19 find the number
Answer:
32
Step-by-step explanation:
work backwards, 19-11=8 then x 4 makes 32.
Answer:
32
Step-by-step explanation:
Let the number be 'x'
[tex]\dfrac{x}{4}+11=19[/tex]
Subtract 11 from both sides
[tex]\dfrac{x}{4}=19 - 11\\\\\dfrac{x}{4}=8\\[/tex]
Multiply both sides by 4
x = 8*4
x = 32
The first three terms of a geometric sequence are
-2, 8 ,-32
Find the next two terms of this sequence.
Answer:
a4 = 128
a5 = -512
Step-by-step explanation:
a1= -2
q= (-1)^(n+1) × 4
a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128
a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512
In a class of 33 students, the ratio of girls to boys is 6:5. How many are there
3. $ 70 is to be divided among Joseph, Ann and Mary in the ratio 3:5:6. How much would
each receive?
Answer:
18 girls and 15 boys.
Step-by-step explanation:
not sure on question 2. $21.33, $23.33, $25.33???
pls help me with this:((((((
Answer: Multiple answers
Step-by-step explanation:
Answer: Multiple answers
Step-by-step explanation:
P.E.M.D.A.S (order of operations)
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)
M=Multiplication
D=Division
Multiplication is done before division.
So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.
1.
24/(1.21)2 becomes 24/2.42
24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)
2.
29/(1.20)2 becomes 29/2.4
29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)
3.
40/(1.20)2 becomes 40/2.4
40/2.4= 16.6666666667 (or 16.7 rounded)
I am not sure if you have to round your answers up, so I provided those answers as well in case.
Hope this helps!
Two friends collect boxes of cereal for charity. One friend collects 22 bins with 36 boxes each, and the other collects 18 bins with 24 boxes each.
How many boxes did they collect altogether?
Answer:
1224 boxes altogether
Step-by-step explanation:
Form two products and add the products together, as follows:
(22 bins)(36 boxes) + (18 bins)(24 boxes) = 1224 boxes altogether
-x+3y=0
x+3y=12
System of linear equation by elimination
Answer:
x=6
y=2
Step-by-step explanation:
-x+3y=0 (1)
x+3y=12 (2)
(1)+(2)<=> 6y=12
Pleassseee help answer without an actual answer you will be reported
Thomas is a car salesman. He is paid a salary of $1600 per month plus $300 for each car that he sells. His salary can be modeled by the equation f(x) = 300x + 1600 where x is the number of cars sold. Graph this equation and give its domain and range.
Answer: D: 0, 1, 2, 3
R: ($1600, $1900, $2200, $2500,...)
Fyi: If you want answers to something I don't think threating to reporting people trying to help you is a good idea.
The Domain is {0, 1, 2, 3, 4} and Range is { 1600, 1900, 2200, 2500, 2800}.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
He is paid a salary of $1600 per month plus $300 for each car that he sells.
and, His salary can be modeled by the equation f(x) = 300x + 1600
The Domain can be taken as
x= 0, 1, 2, 3, 4
and, the range is
f(0)= 1600
f(1)= 1900
f(2)= 2200
f(3)= 2500
f(4)= 2800
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a poultry farmer sold 1/2 of his eggs and ate 1/3 of the remainder if he has 400 left how many eggs had he originally
Answer:
2400 eggs
Step-by-step explanation:
1. To find out how many eggs the poultry farmer had originally, we have to reverse the steps of him selling and eating this eggs.
This means to basically multiply 400 by the reciprocal (inverse) of 1/2 and 1/3.2. (Solving)
[tex](2)(3)(400)[/tex] [tex](6)(400)[/tex] [tex]2400[/tex]Therefore, he had 2400 eggs originally.
14. The supervisors of a rural county are interested in the proportion of property owners who
support the construction of a new high school for the area. Rather than contact all 7,000 of
the owners, the supervisors decide to take a random sample of 300.
(a) During each interview, the supervisor's representative asks, “Do you support the building
of a new high school for the area?” For this sample, 58% of the respondents said yes. If
the representative took a second random sample of 300 property owners, would this
second sample proportion of those who support building a new high school be exactly the
same as that found in the first sample?
(b) If the representative has increased the sample size to 600 owners, what effect would this
have on the estimated proportion of owners who would support building the high school?
The first four terms of a sequence are 5,-3,-11,-19. Which of the following is an equation for the nth term of the sequence?
an=8n−3A sub n is equal to 8 n minus 3
an=n−4A sub n is equal to n minus 4
an=−8n+13A sub n is equal to negative 8 n plus 13
an=−8n−8
Answer:
Step-by-step explanation:
-3-5=-8
-11-(-3)=-11+3=-8
-19-(-11)=-19+11=-8
it is an A.P. and c.d.=-8
so nth term is
an=a1+(n-1)d
an=5-(n-1)(-8)
an=5+8n-8
an=8n-3
Find the measures of the interior angles.
what is angle B and C?
Answer:
x = 42
Step-by-step explanation:
The square at ∠C means it is a right angle (90°). The sum of the angles of a triangle is 180°. Use the information to solve for ∠B.
[tex]x+48+90=180\\x+138=180\\x=42[/tex]
Answer:
B = 41 degreed
Step-by-step explanation:
Square of C = 90degrees
A = 49degrees
90 + 49 = 139degrees
180degrees - 139degrees = 41 degrees
Write 15 as a product of primes.
Answer:
15 is a composite number. 15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15. Prime factorization: 15 = 3 x 5
Step-by-step explanation:
Answer:
15= 3 x 5
Step-by-step explanation:
15
/ /
5 x 3
3 and 5 both multiply together to make 15
Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?
The angles in a quadrilateral ABCD are A(3x+10), B(3x+4), C(x+50) and D(5x+8). Find the angles of the quadrilateral ABCD
please answer it fast..thank u
Answer:
A 8º
B 76º
C 74º
D 128º
Step-by-step explanation:
The sum of the angles is 360
(3x + 10) + (3x + 4) + (x + 50) + (5x + 8) = 360
Combine like terms
12x + 72 = 360
Subtract 72 from both sides
12x = 288
Divide both sides by 12
x = 24
--------------
A (3x+10) = 3*24 + 10 = 82
B (3x+4) = 3*24 + 4 = 76
C (x+50) = 24 + 50 = 74
D (5x+8) = 5*24 + 8 = 128
question 9, literally almost done
Answer:
A 4
Step-by-step explanation:
2(3)=6-2=4
Answer:
D. 8
Step-by-step explanation:
f(3) = 2·3 - 2 = 4
2·f(3) = 2·4 = 8
PLEASE PLEASE ANSWER
Answer:
Step-by-step explanation:
So the sum of 128 and x+10 is on a straight line which is 180º right?, so:
x + 10 + 128 = 180
x = 180 - 128 - 10
x = 42º
Answer:
42
Step-by-step explanation:
x +10 +128 = 180 {Linear pair}
x + 138 = 180
x = 180 - 138
x = 42
Karen is reading the book Tangerine in English class. SO far, she has read 30 pages. If she reads 18 pages a day and there are 192pages in the book, how many days will it take her to finish the book? TYPE THE EQUATION WITH A VARIABLE THAT REPRESENTS THIS SITUATION
Answer:
0.09375
Step-by-step explanation:
