Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answers
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
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Related Questions
The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?
G (10, 10)
H (12, 12)
I (14, 14)
A
(12, 10)
B
(10, 9)
C
(12, 9)
D
(12, 14)
Answers
(3ax + 4a) - (9x + 15a)
Answers
Answer:
3ax−11a−9x
Step-by-step explanation:
3ax+4a−(9x+15a)
Distribute the Negative Sign:
=3ax+4a+−1(9x+15a)
=3ax+4a+−1(9x)+−1(15a)
=3ax+4a+−9x+−15a
Combine Like Terms:
=3ax+4a+−9x+−15a
=(3ax)+(4a+−15a)+(−9x)
=3ax+−11a+−9x
Hector made a scale drawing of the front of a
building.
• The front of the actual building is in the
shape of a rectangle with a height of
21 feet and a width of 15 feet.
• The height of the building in Hector's
drawing is 3.5 inches, and the width is
2.5 inches.
What scale factor did Hector use in his scale
drawing?
A. 1 inch : 2 feet
B. 1 inch : 4.3 feet
C.1 inch : 6 feet
D. 1 inch : 8.4 feet
Answers
Option B is correct. I did the test and it shows 100% I hope it helped!
Point K is located at (1.5) on the coordinate plane. Point K is reflected over the Z-
acis to create point K'. What ordered pair describes the location of K"?
Answers
Answer:
hold on i'm abt to answer it
Step-by-step explanation:
if an is defined as a geometric sequence, is the sequence 1/an also a geometric sequence? explain your reasoning.
Answers
Answer:
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
so, the ratio between terms is still constant.
Step-by-step explanation:
If an is defined as a geometric sequence, is the sequence 1/an also a
geometric sequence because the ratio between terms remain constant.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be[tex]T_n = ar^{n-1}[/tex]
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
Therefore, the ratio between terms is still constant.
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GUYSSSSSS!!!SOLVE IT WITH EXPLAIANTION
Answers
Answer:
Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]
Step-by-step explanation:
Can you help me with my work don’t send no link
Answers
Answer:
A and C!
Step-by-step explanation:
a: for a just move all the terms not containing x to the right side of the equation!
c: divide each term by 4 and simplify!
-
hope this helped <3
Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit
Answers
Answer:
(3x - y)(x + y)²Step-by-step explanation:
3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²Answer:
[tex](3x-y)(x+y)^2[/tex]
Step-by-step explanation:
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Multiply and combine like terms.
[tex]3x^3+xy^2-y^3+5xy^3[/tex]
Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.
[tex]3x^3+5xy^2+y^2x-y^3[/tex]
Find one factor of the form kx^m +n, where kx^m divides the monomial with the highest power 3x^3 and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.
[tex](3x-y)(x^2+2xy+y^2)[/tex]
Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.
[tex](x+y)^2[/tex]
Rewrite the complete factored expression.
[tex](3x-y)(x+y)^2[/tex]
which expression fits this description
.the expression is the quotient of two quantities
. the numerator of the expression is the product of 5 and sum of x and y
. the denominator is the product of negative 8 and x
Answers
Answer:
Step-by-step explanation:
Please help me with this!!!
Answers
Answer:
True
they intersect at only one point
hope it will help you
your day will full of happiness
Answer:
i think true
Step-by-step explanation:
corret because vertical Lines intersect at one point after a certain amount of time
write an equation for the table below representing the relationship between the number of games and the total cost
Answers
Answer:
Answer is the Equation is 2x+2
Answer:
2x+2
Step-by-step explanation:
hope it helpssssss
4x + 3 = x + 2(x + 7)
step by step
Answers
Answer:
x=11
Step-by-step explanation:
4x + 3 = x+ 2x + 14
4x + 3 = 3 x + 14
4x - 3x = 14 -3
x= 14 - 3
x= 11
Answer:
x=11
Step-by-step explanation:
Distribute :
4x + 3 = x + 2( x+ 7)
4x + 3 = x + 2x + 14
Combine like terms :
4x + 3 = x + 2x + 14
4x + 3 = 3 x+ 14
Subtract 3 from both sides of the equation :
4x + 3 = 3x + 14
4x + 3-3 = 3x + 14 -3
Simplify :
what ever way you know how to subtract the numbers you should get this answer :
4x = 3x + 11
Subtract 3 from both sides of the equation :
4x = 3x + 11
4x - 3x = 3x + 11 - 3x
Simplify :
combine like terms
multiply by 1
combine like terms
x= 11
Which of ratio is equivalent to 3:4 ?
12:9
9: 20
9:12
803 : 804
Answers
Answer:
C
Step-by-step explanation:
3/4 = 9/12
This is because
3 x 3 = 9
4 x 3 = 12
3/4 = 9/12
Hope that helps!
Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21
Answers
Given:
The set of integers in the options.
-13 , 4, 0, -8
-5 , -2, 3, 1
-12 -18 , -4 , 7
-15, 6 , -9 , -21
To find:
The set of integers that is ordered from least to greatest.
Solution:
We know that the larger negative value is the smaller value and the larger positive value is the greater value.
Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.
In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.
In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.
In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.
In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.
Therefore, all the options are incorrect.
2+2
1+1
5+10
q+3=21 What is q
Answers
Answer:
18
Step-by-step explanation:
21 - 3= 18
/:
Answer:
Step-by-step explanation:
2+2 = 4
1+1 = 2
5+10 = 15
q+3 = 21, q = 21-3 = 18
Or if you meant all of them added together is 21, 2+2+1+1+5+10+q+3=21
q = -3
The sum of two numbers is 25. The difference between twice the first number and the second number is -10. Find the numbers
Answers
Answer:
15 and 10
Step-by-step explanation:
Let the two numbers be x and y
x+y= 25
2x-2y=-10
HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is _____ %. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is _____ %. (Round to the nearest hundredth.)
Answers
For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%
Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92
Step-by-step explanation:
there ya go!!
Answer:
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .
The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .
Step-by-step explanation:
2.76% + 2.86% + 3.44% + 2.65% = 11.71%
11.71 / 3.44 = .2937
.2937 = 29.37%
In this triangle, the value of y is:
Answers
Answer:
It's either b or d more likely d though.
Step-by-step explanation:
Wiki
Help I’ll give Brainly est
Answers
Round to nearest degree.
8
х
11
Answers
Answer:
36
Step-by-step explanation:
tan^-1(8/11)=36.027
1
Which expression can be simplified as m18?
Answers
Answer:
D : ( n^-3)6
Step-by-step explanation:
can someone help me do this one problem please like I need help Right now
Answers
7/12 + 1/12
= 7/12 + 4/12
=11/12
Answer:
x= 11/12
Step-by-step explanation:
you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12
Lol my brain just went blank
Answers
Answer:
is it 3,4
Step-by-step explanation:
sorry if im wrong i tried.
Which expression is equal to x^2- y^5?
Answers
x^2-y^5 would equal 0
if $45 is divided into the ratio 4:5 the smaller part is A. $1.50 B.$3.50 C.$4.50 D.$24.50 Asap
Answers
Answer:
Step-by-step explanation:
When you do 45 divided by 9 you get 5.
45 / 9 = 5
To figure out what the smaller number (in this the 4) equals,
you have to do 4 times 9 to get 36.
4 * 9 = 36
So your answer is 36.
Write an equation of the line that passes through the points (−3,−4) and (0,2).
y=23x−2
y−3=23(x−0)
y−0=23(x−3)
y+0=23(x+3)
which one of them are it
Answers
PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
Answers
Answer:
C. 43.98
Step-by-step explanation:
6 of 7
£25 = 700 rubles, how many £ are in 1,260 rubles?
£
Answers
Answer:
45
Step-by-step explanation:
25 = 700
Y = 1260
Now you need to do cross multiplication .
25 X 1260=700Y
Since it's in a multiplying form you can simplify by dividing 700 by 25
1260=700Y/25
1260=28Y
Y=45
Please help my test is tomorrow thank you god bless you all
Answers
Answer:
"(2x - 1) (x - 7)." i think
Step-by-step explanation:
Solve for n.
7n - 4 = 317
n =
Answers
Step-by-step explanation:
[tex]7n - 4 = 317 \\ 7n = 317 + 4 \\ 7n = 321 \\ n = \frac{321}{7} \\ n = 45 \frac{6}{7} [/tex]
Answer:
[tex]n = \frac{321}{7} [/tex]
Step-by-step explanation:
1) Add 4 to both sides.
[tex]7n = 317 + 4[/tex]
2) Simplify 317 + 4 to 321.
[tex]7n = 321[/tex]
3) Divide both sides by 7.
[tex]n = \frac{321}{7} [/tex]
Therefor, the answer is n = 321/7 and in decimal form it would be, 45.857143.