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
Answers
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
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
In the diagram, AB= DC and AC= DB. Why does m
Answers
Answer:
why does m what????
Step-by-step explanation:
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
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.
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)
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:
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.
What is 64.2 multiplied by 0.25
Answers
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
What is x- value of point A
Answers
Answer:
5
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
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.
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!
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
2.=-1/8
3.-30.66
4.=1/3
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
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
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
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
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
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
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
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
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:
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
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:
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
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
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]
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
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.