Answers
Given:
In triangle ABC, Q is the centroid and FQ=9.
To find:
The length of FC and QC.
Solution:
We know that, centroid is the intersection point of medians of a triangle and medians divide teach other in 2:1. So, centroid divided each median in 2:1.
CF is a median and Q is the centroid. So,
[tex]QC:FQ=2:1[/tex]
Let the length of QC and FQ are 2x and x respectively.
We have, FQ=9.
[tex]x=9[/tex]
Now,
[tex]QC=2x[/tex]
[tex]QC=2(9)[/tex]
[tex]QC=18[/tex]
And,
[tex]FC=FQ+QC[/tex]
[tex]FC=9+18[/tex]
[tex]FC=27[/tex]
Therefore, the length of FC is 27 units and length of QC is 18 units.
Related Questions
if you got a 23/25 on a quiz, what is your grade? How do you determine that?
Answers
Answer:
well 25x4=100 so multiply 23 by 4 and that would be 92 so you would have an A or 92%
Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.
Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....
Based on the information in the table, how much will Ben pay for 4 tires?
Answers
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
Answer:
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
The grocery store sells 2 pounds of potatoes for $1.50. At this price, how much do 5 pounds of potatoes cost? What is the unit rate?
Answers
Answer:
5 pounds of potatoes is $3.75 1 pound is .75 cents
Step-by-step explanation:
Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?
Answers
Answer:
No
Step-by-step explanation:
I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)
The local museum had 10,000 visitors in 1995.
The number of visitors has increased by 5% each year since 1995.
7
Enter a function m(x) to represent the number of visitors to the museum x years after 1995.
Answers
Answer:
Step-by-step explanation:
Vbvvbnn. N m
Find the missing angle measure
Answers
Answer:
what is the missing angle measure pls attach a pic if you do so I can help you
enjoy your day
#Captainpower:)
Need help with question 2
Answers
Enter an algebraic equation for the word sentence. Use x as your variable.
90 is five times a number.
The equation is
Answers
Answer:
5X=90
Step-by-step explanation:
5x=90
5x=90
5 5
x=18
What is the value of fraction 1/2*x*4 + 5.2y, when x = 2 and y = 3
Answers
19.6
*i think*
1/2 times 2 is 1;1 times 4 is 4;4 plus 5.2(3)= 4 plus 15.6 = 19.6
In order to compare functions we need to identify the
and the _______ and the _______
1) x and y
2)slope and y-intercept
3) domain and range
Answers
If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?
Answers
Answer:
105,000
Step-by-step explanation:
2500/5 gives you 500 x 210 =105,000
Melissa makes and sells necklaces and bracelets. One day she made a total of 28 pieces of jewelry. On this day the number of bracelets crafted was 4 more than twice the number of necklaces.How many of each type of jewlery did she make that day
Answers
Answer:
Number of necklaces = 8
Number of bracelets = 20
Step-by-step explanation:
Given that:
Mellisa is making and selling the necklaces and bracelets.
Number of pieces of jewelry made on one day = 28
Number of bracelets was 4 more than the twice the number of necklaces.
To find:
Number of each type of jewelry made = ?
Solution:
Let number of bracelets = [tex]b[/tex]
Let number of necklaces = [tex]n[/tex]
As per question statement:
[tex]b+n=28[/tex] ...... (1)
[tex]b = 2n+4[/tex] ...... (2)
Putting the value of [tex]b[/tex] in equation (1):
[tex]2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}[/tex]
By equation (1):
[tex]b + 8 =28\\\Rightarrow b = \bold{20}[/tex]
So, the answer is:
Number of necklaces = 8
Number of bracelets = 20
3. Find the first five positive values (correct to three decimal places) of the inverse circular
relation arccos(0.6)
Answers
its 12.0
Step-by-step explanation:
(6.01 )which points on the scatterplot is an outlier point A point B point C point D
Answers
Answer: it’s point c
Step-by-step explanation:
Answer C
Answer:A
Step-by-step explanation:
you just told me but thanks for the points message me if you need more answers
Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age
Answers
Answer:
13
Step-by-step explanation:
2x+x=39
3x=39
divide both sides by 3 and then you get 13
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?
Answers
Answer:
24 children
Step-by-step explanation:
If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;
[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]
k is the constant of proportionality
If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6
Substitute:
6 = k/16
k = 6*16
k = 96
W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x
y = 96/4
y = 24
Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours
Alicia received a utility bill in the amont of $90. This number represents 12% of her weekly income. Find Alicia's weekly Income amount.
O $1080
$780
O $102
$750
Answers
Answer:102
Step-by-step explanation:
Answer:
Alicia's weekly income is $750
Step-by-step explanation:
ok so to find the weekly income we have to see which of this options gives $90 when you multiply by 12%.
A. 1,08012% = 0.120.12 x 1080 = 129 too high❌
B. 7800.12 x 780 = 93 close❌
C. 1020.12 x 102 = 12.24 too low❌
D. 7500.12 x 750 = 90 correct answer✅
Please mark brainlest if you got it right, its just by clicking the crown on bottom of answer....you can do that when theres already two anwers,thank you :3❤️Under what conditions is a trinomial said to be completely factored?
Answers
Answer:
We say that a polynomial is factored completely when we can't factor it any more. Here are some suggestions that you should follow to make sure that you factor completely: Factor all common monomials first. Identify special products such as difference of squares or the square of a binomial.
Step-by-step explanation:
can you mark brainliest yes thanks you the best
What is the area of the following square? (Be sure to include units.)
5 cm
5 cm
Answers
PLS HELP ME IT IS SO HARD
Answers
Answer:
180-28.4 DIVIDED BY TWO SHOULD BE THE ANSWER SO C
A rectangle has a height of m + 8 and a width of 2m3 + m2 + 3m.
Answers
Answer:
A=2m⁴+17m³+11m²+24m
Step-by-step explanation:
The area of rectangle is length × width
A=LW
A=(m+8)(2m³+m²+3m)
A= 2m⁴+m³+3m²+16m³+8m²+24m
A=2m⁴+m³+16m³+3m²+8m²+24m
A=2m⁴+17m³+11m²+24m
The question is in the picture
- I could really use some help !! Thank you so much !!
Answers
Answer:
Could you retake the photo plz so i can see the full question and answer choices
Step-by-step explanation:
Katherine earned $105.00 at her job when she worked for 7 hours. How much money did she make earn each hour?
Answers
Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false
Answers
Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
true
Step-by-step explanation:
Give the scale factor of figure A to figure B
Answers
Answer:
4
Step-by-step explanation:
The Pythagorean theorem is a2+b2=c2. Solve for b.
Answers
Answer: what is a and c
Step-by-step explanation:
We need a and c to solve for b.
One less than three times a number
Answers
Answer: 3n - 1
Step-by-step explanation:
n = the number
3n - 1
One less is subtracting one.
Answer:
[tex]1-3[/tex]n
Step-by-step explanation:
One less 3 times a number.
1 less is 1-.
3 times a number would be 3n.
So, we get
[tex]1-3n[/tex]
The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in
the slope- intercept form.
Answers
Answer:
the formula = y = mx+c,
if slope is -5 and y intercept is 8,
y = -5x+8
or
y= 8-5x
Need help please for extra credit for my class
Answers
height versus age domain and range
Answers
Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation: