write the linear equation

Answer:

Given: Two Isosceles triangle ABC and Δ PBC having same base BC. AD is the median of Δ ABC and PD is the median of Δ PBC.

To prove: Point A,D,P are collinear.

Proof:

→Case 1.  When vertices A and P are opposite side of Base BC.

In Δ ABD and Δ ACD

AB= AC   [Given]

AD is common.

BD=DC  [median of a triangle divides the side in two equal parts]

Δ ABD ≅Δ ACD [SSS]

∠1=∠2 [CPCT].........................(1)

Similarly, Δ PBD ≅ Δ PCD [By SSS]

∠ 3 = ∠4 [CPCT].................(2)

But,  ∠1+∠2+ ∠ 3 + ∠4 =360° [At a point angle formed is 360°]

2 ∠2 + 2∠ 4=360° [using (1) and (2)]

∠2 + ∠ 4=180°

But ,∠2 and ∠ 4 forms a linear pair i.e Point D is common point of intersection of median AD and PD of ΔABC and ΔPBC respectively.

So, point A, D, P lies on a line.

CASE 2.

When ΔABC and ΔPBC lie on same side of Base BC.

In ΔPBD and ΔPCD

PB=PC[given]

PD is common.

BD =DC [Median of a triangle divides the side in two equal parts]

ΔPBD ≅ ΔPCD  [SSS]

∠PDB=∠PDC [CPCT]

Similarly, By proving ΔADB≅ΔADC we will get,  ∠ADB=∠ADC[CPCT]

As PD and AD are medians to same base BC of ΔPBC and ΔABC.

∴ P,A,D lie on a line i.e they are collinear.

Answer:

depends who the faster person is

Answer:

need more information

Answer:

6(6+2)4

6×8×4 = 192

Answer is 192

Answer:

12

Step-by-step explanation:

6(g+2)h=6(6+2)4=6(8)4=484=12

Answer:

2123.72

Step-by-step explanation:

A=4πr2=4·π·132≈2123.71663

Answer:

2120 (rounded off to 3 s.f.)

Formula:

Surface area of sphere = 4×pi×r²

Step-by-step explanation:

Apply the formula with the radius as 13:

4×pi×13² = 4×pi×169

              = 676pi

              = 2120 (rounded off to 3 s.f.)

Responder:

Explicación paso a paso:

Paso uno:

datos dados

el costo de un metro de cinta tricolor = $ 15.5.

se nos dice que un lazo necesitará 3,5 m de cinta, ya que tu madre hizo dos lazos, usó un total de 3,5 * 2 = 7 m de cinta

Segundo paso:

ahora calcularemos el dinero que gastó su madre.

si 1 m le costará $ 15.5

entonces 7 millones le costarán $ x

Cruz multiplicar tenemos

x = 15,5 * 7

x = $ 108.5

Esto significa que tu madre gastará $ 108.5 para hacerte los dos moños.

Queremos saber cuanto pagó mamá dado que conocemos cuantos metros de listón utilizo y cuanto cuesta el metro. Veremos que mamá pagó $54.25 por el listón.

Sabemos que cada metro del listón cuesta $15.50.

Tambien sabemos que mamá utiliza 3.5 metros de este listón, entonces el precio será 3.5 veces el precio del metro de liston, que es $15.50, esto se calcula como:

3.5*$15.50 = $54.25

Es decir, mamá pagó $54.25

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19162379

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

Answer:

y = -1/3x + 19/3

Step-by-step explanation:

let the equation of the line be y = mx + b

since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.

hence, 3 x m = -1

m = -1/3

sub m = -1/3 and (7, 4):

4 = -1/3(7) + b

b = 19/3

therefore, equation of the line is y = -1/3x + 19/3

Topic: coordinate geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

LCM: 16r⁴+36r²s²+81s⁴,8r³–27s³,8r²–22rs+15s²

Answer:

126/420

Step-by-step explanation:

you cross multipy 3/10 and x/420 then you get 1260=10x, then you divide by 10 and get 126

Answer:

6

Step-by-step explanation:

because you divided the amount of mile by the amount of time it took to get your answer

Answer:

i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid

Step-by-step explanation:

Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.

Step-by-step explanation:

Answer:

i think the 3 one

Step-by-step explanation:

Answer:

A: 6 + 2(x + 4) = 1/2(3 - x)

Answer:

-8,1 mabey I don't really know

Answer: 3x

Step-by-step explanation:

Answer: 7.60x ≥ 500, where x represents the numbers of hours worked.

Step-by-step explanation:

Answer:

There is no question here.

Put the question in the replies of this answer and I'll gladly answer it for you.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

Step-by-step explanation:

Answer:

2320 smartphone owners exists in the year 2017

Step-by-step explanation:

Given that:

P is a function ; which gives the number of people who own a smartphone t years after year 2000

If P(17) = 2320

Then the function stated above represents the number of people who own a smartphone 17 years after year 2000

17 years after year 2000 equals ;

2000 + 17 = 2017

Hence, according to the function 2320 smartphone owners exists in the year 2017

Answer:

4/15

Step-by-step explanation:

Answer:

4/15 Is the answer

Step-by-step explanation:

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income  = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 7,846/160

Part-time worker hourly wage = 7,846/80

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income  = Hourly wage * 80

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income  = US$ 7,846.40

Step-by-step explanation:

15% of 77:

77 x (15/100) =11.55

so to find the discount price:

77-11.55=65.45

discount price= $65.45

Answer:

4 1/3

I hope this helps

Answer:

Step-by-step explanation:

Answer:

0.06

Step-by-step explanation:

probability of multiple of 6= 0.2

probability of multiple of 4= 0.3

0.2 * 0.3 = 0.06

Answer:

A on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took test

Answer: 3x + 15

Step-by-step explanation:

Distribute the 3 to each of the values within the paranthesis:

3 * x = 3x and 3 * 5 = 15

Combine and the solution is 3x + 15