Given that L is the centroid of triangle FGH, find LG.

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

First, you have to find x
KG and HK are equal
3x=x+8
Solve, and you get 4=x
plug that in to x+3
JL=7
LG is twice as long as JL
7*2=14
JL is 14
make sure to rate brainliest if it helped!!

You might be interested in

What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

7 0

3 years ago

Need help with this answer !!!

KengaRu [80]

To find the area of a rectangle, multiple the width by the length.

(And simply the fractions for a simpler equation)

For piece A:
The length 1 and 3/5 can be turned into an improper fraction by multiplying 1 by the denominator (5) and adding it to the numerator (3). 1 and 3/5 = 8/5

(3/4) • (8/5) = area

Multiple the numerators with each other and the denominators with each other (3 times 8 = 24) (4 times 5 = 20)

The area of piece A is 24/20

If you do the same for piece B:

(2/5) • (21/8) = area

The answer is 42/40

8 0

4 years ago

Read 2 more answers

(6x^2+40x+29)/(x+6) what is the Quotient and Remainder

Lunna [17]

Are you sure about the arrow up or down..

8 0

3 years ago

Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo

klasskru [66]

Answer:

250-120/e