The vertices of △JKL are J(−3, 4), K(3, 0), and L(−5, −4). The equation of the median to J is y=0. What are the coordinates of the centroid of △JKL?

Answers

Answer 1

Answer:j

Step-by-step explanation:

Answer 2

The coordinates of the centroid of △JKL are (-5/3 , 0)

What is centroid of a triangle and its coordinates?

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

The vertices of ΔJKL lies in first quadrant because the coordinated of the vertices are positive which means the vertices are in the form of (x,y).

If the ΔJKL reflects along the x-axis then the vertices are in the form of (x,-y). Now the  ΔJKL reflects along the y-axis then the vertices are in the form of (-x,-y).

The given coordinates of the the vertices after transformation is J(−3, 4), K(3, 0), and L(−5, −4).

The equation of the median to J is y=0.

(-3 + 3 - 5 / 3 , 4 + 0 - 4/ 3) = (-5/3 , 0)

Learn more about centroid here:

https://brainly.com/question/7358842

#SPJ2


Related Questions

What’s the slope m and y-intercept b of both these images?

Answers

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Find the missing angle.

Answers

Answer:

Linear pair angle of 40 is

=180-40

=140

If, the two rays are parallel

Therefore, the two rays are parallel and the straight line is transversal

Therefore, (?) angle =140 corrosponding angle

Your answer is 140

The table shows the results of an experiment in which Max drew tiles from a bag. If Max conducts this experiment again and performs 200 trials, which is the best prediction of how many times he will draw a blue tile?


Frequency
Red 9
Blue 46
Green 25
TOTAL TRIALS 80

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Find the value of x and justify your answer

Answers

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

A: x=20

Step-by-step explanation:

angles in a triangle always equal 180° so knowing this 2x+3x+4x=180

9x=180

9x÷9=x

180÷9=20

can someone help?????

Answers

Answer:

what's the question?

Step-by-step explanation:

what the question

Answer:

The angle is 136 degrees because the 44 degree angle adds up to 180 since it is suplementary. so that means when u minus or take away 44 degrees from 180 it gives u 136.

Step-by-step explanation:

Hope this helps!

help please! (no links)

Answers

EZ is 24.5
Happy is 25

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°

100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.

Answers

Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]

[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]

20=c/5

can you show your work thanks
Someone help me I need this one fast

Answers

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

When creating a histogram, the first recorded scale is 1 to 15. What should the second scale indicate?

A. 15-30
B. 16-30
C. 16-29
D. 16-31

Answers

Answer:

B.16-30

step by step explanation:

Answer:

I guess B?

Step-by-step explanation:

1.X + 1 3/7 = 4 5/7 Use either method that was
taught.

Answers

Answer:

32/7

Step-by-step explanation:

probability help , not understanding

Answers

Answer:

70%

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

If I’m correct the answer is A

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

-----------------------------------------------------------------------------------------------------------------

7y - 5x = 8

    +5x  +5x

----------------

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

-----------------------------------------------------------------------------------------------------------------

After graphing the lines, you then can see that the lines only ever intersect once.

Please help me with those questions please

Answers

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

can you help me answer this?

Answers

The answer is C i think.

What is the equation of the line with a y-intercept of −10 and a slope of 3?

y
=

10
x

3

y = − 10 x − 3

y
=

10
x
+
3

y = − 10 x + 3

y
=
3
x

10

y = 3 x − 10

y
=
3
x
+
10

y = 3 x + 10

Answers

tem que ser portugeis lindo tchua feio

Step-by-step explanation:

aaahahahahajababababaabb ano reposta e eeeeee 3992

The recycling center collected 48,000 ounces of
aluminum cans last week. How many tons of
aluminum did the recycling center collect?

Answers

Answer: 1.5 tons

Step-by-step explanation:

Given

The recycling center collected 48,000 ounces of aluminum can

An ounce is the unit of weight and it can be expressed in tons as

[tex]1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}[/tex]

[tex]\therefore 48,000\ \text{ounces} \equiv\ 3.125\times 10^{-5}\times 48,000=1.5\ \text{tons}[/tex]

A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
What is the approximate area of the paved walkway?

Answers

Given:

Outer diameter = D = 80 ftInner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

Tom has 4 1/2 cases of soda.if there are 12 cans in case, how many cans does Tom have?

Answers

Answer:

54 cans

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4*12=48

48+6=54

HELP ASAP. please show work. the plane of a room in the picture. the scale is 2 inches: 6 feet. what is the actual length, width , and area?

Answers

Answer:

Actual Length: 27 feet - Actual Width: 15 feet - Actual Area: 405 feet

Step-by-step explanation:

First, to find the length, you have to divide 9 by 2 to get 4.5 and then multiply it by 6 to get the actual amount of feet. Then you divide 5 by 2 and multiply the quotient by 6 to get the actual width. Then, you take the actual length (27 feet) and multiply it by the actual width (15 feet) and you get an area of 405 feet

Which set of ordered pairs represents y as a function of x?

Answers

Answer:

D is the correct answer

Explanation:

the following function satisfies each output to its input for the set D

f(x)=x/2

let's check each pair:

0/2=0

-1/2=-0.5

-2/2=-1

-3/2=-1.5

-4/2=-2

the reason why A, B, and C can't be pairs of inputs and outputs x and y it's because a variable x can't have more than one y (that's a behaviour of an equation not a function!)

- in A x=-1 | y=2, -2 and this wrong

- in B x=3 | y=9, 16 and this wrong

- in C x=0 | y=0, 1 and this wrong

I hope this was helpful

the table shows the heights of 40 students in a class b.) explain why your answer (a) is an estimate

Answers

Answer:

whatssssssssssssssssssss

EQ: How do you use elimination to solve a system of
equations?

Answers

Answer:

Step-by-step explanation:

when you use elimination you want to set two of the terms, in the different equations,  equal to each other and then subtract the entire equation from the other,  so that the two terms cancel out.    Then you have an equation with one less variable in it.  :)  

A package for number cubes is in the shape of a right rectangular prism. The package holds 2 cubes across, 2 cubes high, and 5 cubes deep. Each edge of each number cube measures of an inch. What is the volume of the package?

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

20 cubic inches

Step-by-step explanation:

10)
11)
a) The following letter cards are put in a bag. SQUARE
A card is picked at random.
Choose from the list of words to complete each sentence.
certain impossible likely unlikely evens
(1) It is
to pick a card with the letter D on it.
(ii) It is
to pick a card with a vowel on it.
b) The Venn diagram shows the number of students who passed their
examination in German (G) and in English (E)
The number of students who did not pass either examination is f.
() Find fif the total number of students is 62. f = 9
If one of the 62 students is randomly selected, what is the
(13 (24) 16)
probability that this student
(ii) passed both German and English?
24/62
(iii) passed exactly one of these two subjects?
[1]
[1]
29/62
Submit Answer

Answers

Step-by-step explanation:

it's impossible to pick the letter D

it is likely to pick a vowel.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Answers

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

PLEASE HELP PLEASE ASAP​

Answers

Answer:

60ft

Step-by-step explanation:

multiply all the #

For each function shown:
*Name the starting point.
*Explain how y changes as x increases.

Function #1: [tex]y = 0.5 + 3x[/tex]

Function #2: [tex]y = 3(5)^x[/tex]

Answers

Answer:

The starting point of

F1 is

[tex](0. \frac{1}{2} )[/tex]

F2 is

[tex](0.3)[/tex]

Y will increase if the x increase in the two equation

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?

Answers

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

What is the perimeter of the composite figure?

Enter your answer in the box.
perimeter = yd

Answers

Answer: 38 yd. plz mark me brainliest

Step-by-step explanation: Square: 4+4+4+4=16 6+8+8=22 so 22+16=38 so 38 yd. plz mark me brainliest. (tap the crown on the bottom right of an answer) there has to be 2 answers if there is no crown and 2 answers then reload the page.

Answer:

in big TRAINGLE

by using Pythagoras law

other side =√(6²+8²)=10yd

perimeter of composite figure =6+4+4+4+4+10=32yd

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