5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

Answers

Answer 1

Answer:

The coordinate or the point N is (2,3)

Step-by-step explanation:

The formula for the midpoint of two points is;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

for AB

A(-1,3) and B (7,-3)

We have;

(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)

For CM;

C(1,6) and M(3,0)

(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)


Related Questions

1521 milliliters equals to how many liters??

Answers

Answer:

It is 1.521 Liters

Step-by-step explanation:

A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?​

Answers

The final price of the lucky charms is $2.54

The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages

Answers

Answer:

Presently; Veeru is 15 and Neeru is 20

Step-by-step explanation:

Given

See comment for proper format of question

Let their present ages be x and y

So:

[tex]x : y = 3 : 4[/tex]

5 years time, the ratio will be:

[tex]x + 5: y + 5= 4 : 5[/tex]

Required

Their present ages

Express both ratios as fractions

[tex]x : y = 3 : 4[/tex] becomes

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

and

[tex]x + 5: y + 5= 4 : 5[/tex] becomes

[tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

Make x the subject in: [tex]\frac{x}{y} = \frac{3}{4}[/tex]

[tex]x = \frac{3}{4}y[/tex]

[tex]x = 0.75y[/tex]

Cross multiply in [tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

[tex]5(x + 5) = 4(y + 5)[/tex]

Substitute [tex]x = 0.75y[/tex]

[tex]5(0.75y + 5) = 4(y + 5)[/tex]

Open brackets

[tex]3.75y + 25 = 4y + 20[/tex]

Collect like terms

[tex]3.75y -4y = -25 + 20[/tex]

[tex]-0.25y = -5[/tex]

Divide by -0.25

[tex]y = 20[/tex]

Substitute [tex]y = 20[/tex] in [tex]x = 0.75y[/tex]

[tex]x = 0.75 * 20[/tex]

[tex]x = 15[/tex]

help help me please!!
Sebutkan sepuluh bilangan genap?​

Answers

Answer:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Step-by-step explanation:

➡️ Pembahasan:

Bilangan Genap adalah bilangan yang dapat di bagi 2.

➡️ Penyelesaian Soal:

10 bilangan genap adalah

2468101214161820

[tex]HAVE \: \ \: A \: \: \: \: NICE \: \: \: \: DAY![/tex]

Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34

Answers

Answer: d. $16.34

Step-by-step explanation:

The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.

Luce therefore has a federal tax of $86 as she falls in the bracket described.

If state tax is 19% of this, state tax is:

= 19% * 86

= $16.34

The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

What is federal income tax?

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there  .

A 9-column table with 7 rows is given in the prooblem.

Luce is single and making $763 biweekly. She claims no federal withholding allowances.

This amount is come between the values of $760 and $780.  If we look into the table provided into the problem, the federal tax for this slab is $86.  

Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,

[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]

Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

Learn more about the federal income tax here;

https://brainly.com/question/25504589

how to solve mix surds 8√2+2√8​

Answers

Answer:

[tex] { \tt{8 \sqrt{2} + 2 \sqrt{8} }}[/tex]

separate the biggest root ( √8 ):

[tex]{ \tt{ = 8 \sqrt{2} + 2 \sqrt{4 \times 2} }} \\ = { \tt{ 8 \sqrt{2} + (2 \times 2) \sqrt{2} }} \\ = { \tt{8 \sqrt{2} + 4 \sqrt{2} }}[/tex]

factorise √2 out:

[tex] = { \tt{(8 + 4) \sqrt{2} }} \\ \\ = { \bf{12 \sqrt{2} }}[/tex]

what is the domain of the function represented by the graph

Answers

Answer:

Domain:  all real numbers

Step-by-step explanation:

The domain is the values that x can take

X can be any real number

Domain:  all real numbers

square root of 129 is greater than, less than or equal to 95/8?​

Answers

√129 is less than [tex] \frac{95}{8} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for √129.

➝[tex] \:\sqrt{129} [/tex]

➝[tex]\:11.3578[/tex]

Now,

➝[tex]\: \frac{95}{8} [/tex]

➝[tex]\:11.875[/tex]

Clearly,

➵[tex]\:11.3578 < 11.875[/tex]

➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]

Hence, √129 is less than [tex] \frac{95}{8}[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?

Answers

Answer:

distance = 68 pie x

Step-by-step explanation:

Hope this helps

James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned​

Answers

Answer:

30 hectares

Step-by-step explanation:

Answer:

Step-by-step explanation:

Land area James inherited = 19.5 hectares

The area of the land he inherited is 65% of the total land his father owned.

Let

x = Total land his father owned

Land area James inherited = 65% of the total land his father owned

19.5 = 65% of x

19.5 = 65/100 * x

19.5 = 0.65 * x

19.5 = 0.65x

x = 19.5 / 0.65

x = 30

x = Total land his father owned = 30 hectares

Algebra 2 Problem! Rational Roots

Answers

Answer:

este no hablo inglés

plzz help 100 points
Part B
What is the measurement of angle G? Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c. Part D
What is the measurement of angle C?

Answers

Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.

Angles G and C are supplementary angles which need to equal 180 degrees

Angle c = 180-g = 180-60 = 120

Angle c = 120 degrees.

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then Δ EGF

∠ G = 180° - (90 + 30)° = 180° - 120° = 60°

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

c and g are adjacent angles and sum to 180° , then

c + g = 180° , that is

c + 60° = 180° ( subtract 60° from both sides )

c = 120

That is ∠ C = 120°

A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?

Answers

Answer:

ok so the equation would look like this

B=1.5A

so b is 1.5 times more then a

B=1.5A So your answer is that it’s 1.5 times greater

The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240​

Answers

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

In a street of 72 dwellings, 5/12 are bungalows. The rest are two-storey houses. Half of the bungalows are detached and 2/7 of the houses are detached. What fraction of the 72 dwellings are detached?

Answers

Answer:27/ 72 or 3/8

Step-by-step explanation:

Trust me

-5+(-4)
Adding and subtracting intergers

Answers

Answer:

9

Step-by-step explanation:

Integer

The base of a triangle is 20m and its area is 250m.What is the height of the triangle

Answers

Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

please help :DDDDDDD

Answers

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

Which of the following is the solution set for -3t + 11 > 20?

t < 3
t > 3
t < -3
t > -3

Answers

Answer:

t < -3

Step-by-step explanation:

-3t + 11 > 20

subtract 11 from both sides

-3t > 9

Divide both sides by -3

when multipying or dividing by a negative the inequality must be reversed

t < -3

The box part of the box plot contains all the values between which numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
оооо
between 32 and 37
O between 27 and 32 and between 37 and 40

Answers

Answer:

Between 32 and 37

Step-by-step explanation:

Here, we simply want to get the data portion represented by the box alone

we can see that the box starts from 32

It ends at the number 37

Note;

between each individual number on the plot, we have 5 small lines indicating an extra point

Find the coordinates of the points on the graph of y= 3x - 16

Answers

Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5

Step-by-step explanation:

Hello! I am simply looking for help, no this is not a test. Once again I am just looking for hints/help.

Answers

Answer:

No problem, here is a tip

Step-by-step explanation:

take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9

What is the approximate circumference of a circle that has a diameter of 15 inches?

Answers

Answer:

[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]

Which is the graph of y – 3 =-2/3 (x + 6)?

Answers

Answer:

see graph below

The discount on a toy is 40% the toy robot is on sale for $54 find the original price

Answers

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

[tex]\frac{54}{y} :\frac{60}{100}[/tex]

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

Helpppppppppp what’s the angleeeee plz tell me tytytytyytyttytytyt

Answers

Answer:

101°

Step-by-step explanation:

the angle is 79 degrees

Please help me on this question

Answers

Answer:

√20

Or

2√5

Step-by-step explanation:

It is very easy just substitute

It will be:

Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?

Answers

Answer:

El número obtenido es:

1089.

Step-by-step explanation:

Vamos a escoger tres números sencillos para cada variable como:

a1 = 1b1 = 2c1 = 3

Por lo tanto, nuestro número de tres cifras es:

123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)

Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:

321

A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:

321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)

Como obtuvimos el número 198, se podría decir que:

a2 = 1b2 = 9c2 = 8

Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:

891

Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:

891 + 198 = 1089

Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.

Name the marked angle in 2 different ways.

Answers

Answer:

∠GIH or ∠HIG

Explanation:

Just make sure the vertex of the angle is the middle letter. In this case, it is I.

Which 2 options are correct?

Answers

Answer:

A,C

Step-by-step explanation:

i took the test

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