CAYB is a quadrilateral

CA= 3a
CB= 6b
BY= 5a-b

X is the point on AB such that AX:XB= 1:2

Prove that CX = 2/5 CY

CAYB Is A Quadrilateral CA= 3aCB= 6bBY= 5a-bX Is The Point On AB Such That AX:XB= 1:2Prove That CX =

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

CY = CB + BY

     = 6b + 5a - b

     = 5a + 5b

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

CX = CA + AX

     = CA + [tex]\frac{1}{3}[/tex] AB , find AB

AB = AC + CB

     = - 3a + 6b

     = 6b - 3a

Thus

CX = CA  + [tex]\frac{1}{3}[/tex] AB

      = 3a + [tex]\frac{1}{3}[/tex](6b - 3a)

      = 3a + 2b - a

      = 2a + 2b

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

and

[tex]\frac{2}{5}[/tex] CY

= [tex]\frac{2}{5}[/tex] (5a + 5b)

= 2a + 2b = CX

Hence CX = [tex]\frac{2}{5}[/tex] CY ⇒ Proven

 


Related Questions

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?

Answers

suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

how do i find my sister's math question she just posted how do i find it

Answers

Answer:

You can find it on her profile, in the questions section.

Step-by-step explanation:

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

What is x- value of point A

Answers

Answer:

5

Step-by-step explanation:

The x value of point A is 5

You and your mom enter a drawing with 3 different prizes. The prizes are
awarded at random.
If a total of 10 people entered the drawing, in how many ways can you win
first prize and your mom win second prize?
a. 8
b. 2
c. 10
d. 1

Answers

Answer:

The correct answer is 8.

Step-by-step explanation:

There are 2 ways that you can win first prize and your mom can win the second prize.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 10 people who entered the drawing.

Since the prizes are awarded at random, the probability of you winning the first prize is 1/3, and the probability of your mom winning the second prize is 1/2.

We can use the multiplication principle of counting to find the number of ways that you can win first prize and your mom can win the second prize.

The number of ways that you can win first prize is 1 since there is only one first prize and you are one of the 10 people who entered.

Once the first prize winner is chosen, there are 9 people left, and the number of ways that your mom can win the second prize is 1 out of 9.

The total number of ways that you can win first prize and your mom can win the second prize is:

1 × 1/3 × 1/2 × 9 = 3/2

However, the answer cannot be a fraction or decimal, since we are counting the number of ways in which events can occur.

Therefore, we round up to the nearest integer and get:

3/2 ≈ 2

Therefore,

There are 2 ways that you can win first prize and your mom can win the second prize.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

What is 64.2 multiplied by 0.25

Answers

Answer:

16.05

Step-by-step explanation:

multiplication

Answer:

16.05

Step-by-step explanation:

Help
This is easy but I am DUMB

Answers

Answer:1. The third stage it did the addition first not the division and number two the first stage u need to do the problem on the parenthesis first .

Step-by-step explanation:

the difference between two numbers is 3. their sum is 13. find the numbers

Answers

Answer:

8 and 5

Step-by-step explanation:

8 plus 5 is 13 and 8 minus 5 is 3

What is the simplified form of the expression?

Answers

Answer:

7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.

I hope I helped you

7c ^2 d-7c+4d-10

hope this helps

A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible​

Answers

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Answers

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

Please answer FAST i need your help and when you put your answers put them like
1.
2.
3.
4.
5.

Answers

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

1. 3.5
2.=-1/8
3.-30.66
4.=1/3

Determine whether the given equation has one solution, no solution, or infinitely many solutions.

2 - 3(x + 4) = 3(3 - x)

cannot be determined
one solution
no solution
infinitely many solutions

Answers

Answer:

one solution is your answer to the question

Answer:

Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x

Gather all the x terms on one side and all the constants on the other:

-3x + 3x = 9 + 12 - 2, or 0 = 19

since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.

What si the answer of Y = 7x -3 for x

Help

Answers

Answer:

[tex]x=\frac{1}{7}y+\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]y=7x-3[/tex]

[tex]7x-3=y[/tex]

[tex]7x-3+3=y+3[/tex]

[tex]\frac{7x}{7}= \frac{y+3}{7}[/tex]

[tex]x=\frac{1}{4}y+\frac{3}{7}[/tex]

What is an equation of the line that passes through the points (-1, 1) and
(-2,-4)?

Answers

Answer: The equation is y=5x+6

Step-by-step explanation:

Answer:

y=5x+6

Step-by-step explanation:

(-1,1) and (-2,-4)

Peter bought 8 lemons for $6,. Each lemon was the same price.
What was the cost for 1 lemon?

Answers

Answer:

.75 cents

Step-by-step explanation:

In the diagram, AB= DC and AC= DB. Why does m

Answers

Answer:

why does m what????

Step-by-step explanation:

Please help. Questions in the picture.

Answers

Answer:

Step-by-step explanation:

(2 , 0)  ; (0, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

          [tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

                                  [tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]

slope = (-1/2)

y - intercept = 1

10³ ÷ (25×4) = Please​

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10³ ÷ (25×4)

1000 ÷ 100 = 10

Question 7 of 25
If two line segments have the same length, which of the
following must be true?
A. They form a right angle.
B. They are congruent.
ht
C. They are equal.
O D. They share an endpoint.

Answers

i think B. they are congruent?

Lastly solve |5x-7|= -3

Answers

Answer:

there is no number to plug into x cause you can't have a negative number if it is absolute value cause that makes everything positive

7. Two people enter a whispering gallery t want to know where they should stand so they can hear other people whisper. The gallery is too fast wide and the vertical distance from their head to the peak of the ceiling is 30ft.​

Answers

Answer: Just get closer

Step-by-step explanation:

Walk next to someone to hear them left foot right foot towards them.

Can someone please help? I will give Brainliest. ​

Answers

Answer:

Ask your mom and she might tell you

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

HELP DUE IN 4 MINS WILL GIVE BRAINLYIST

Use the graph to fill in the table

Answers

Answer:

Step-by-step explanation:

process 0=20  1=50  2= 80  3=110  4=140  5=170  6=200

total cost =770

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.

________ – 5xy3 + 9x2y

0
5xy3
9x2y
8y4
4xy3

Answers

Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

You want to apply two coats of paint to walls that are 8 ft high in a room that is 7 11/12 feet wide and 9 5/6 feet long. One gallon of paint covers 350 square feet.

Answers

Answer:

Paint required will be 2.06gallons

Step-by-step explanation:

The given dimensions are

Height - 8ft

Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft

Length - 9. 83ft

To calculate the the amount of paint required to paint the walls we need to find the area of the walls

wall 1  = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]

wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]

The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]

ceiling area = 77.66[tex]ft^2[/tex]

total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]

One gallon of paint covers 350 [tex]ft^2[/tex] of area

so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint

also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons

                                           

I really need a 100 I'm felling in all my classes, please


Select the fraction that is equivalent to one-sixth.

Answers

Answer:

There is no picture, or diagram with the question, but 1/6 = 2/12

Answer:

2/12

Step-by-step explanation:

1/6 * 2 = 2/12

Multiply both numerator and denomanotor

Is 11/5 rational or irrational ?

Answers

Answer:

Step-by-step explanation:

Rational number. An rational number is simply a number of arithmetic: a whole number, fraction, mixed or decimal; together with its negative image.

A group of 8 friends went to lunh and Spent a total of $76 which included the food bill in the tip of $16 they decide to split the bill into evenly among themselves

Answers

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

The solution x=60 represents the total food bill.

Step-by-step explanation:

As in the question it is mentioned that there is eight group of friends and the total amount incurred is $76 that also involved $16

Now let us assume the food bill be x

So the equation would be

(x + 16) ÷ 8 = 76 ÷ 8

(x + 16) ÷ 8 = 9.5

x + 16 = 9.5 × 8

x = 76 -16

x = 60

So, the bill of food is 60

As per the given options, the above two statements should be selected

In 2015 the population of 895 quail increases at an annual rate of 3.5%. In writing an
exponential function to model the quail population, using f(t) = a(b)+ what is the value
of a
?
and b =


Please help!!

Answers

Answer:

y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.

Step-by-step explanation:

hope this helps

1. What is the solution to the equation modeled below?

Answers

Answer:

3.67

Step-by-step explanation:

the equation is 3x + 5= 16

do 16 - 5 to get 11

next do 11 divided by 3 to get 3.67

hope this helps :)

this answer may be incorrect because the answer was really 3.66666666667

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