Point P partitions directed segment AB in the ratio of 3:4.

What is the total number of congruent sections/parts? (what

is the k value?)

how many congruent sections are there

Answers

Answer 1

Answer:

Total number of congruent sections/parts = 7

[tex] k = \frac{3}{7} [/tex]

Step-by-step explanation:

Given that partitions directed segment AB such that AP : PB = 3 : 4, this implies that:

There are 7 parts/congruent sections that AB has been divided into.

Also, point P, partitions AB in the ratio 3:4.

Therefore, there are a total of 7 congruent sections/parts.

Value of k:

Value of k = numerator of the original ratio ÷ sum of numerator and denominator of the original ratio

[tex] k = \frac{3}{3 + 4} [/tex]

[tex] k = \frac{3}{7} [/tex]


Related Questions

A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%

Answers

Incomplete question. Attached is an image of the table.

Step-by-step explanation:

A.

Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%.   and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%

Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%.  and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.


Adam has two kinds of fruit punch left over from a party. He mixes 5 liters of fruit punch A with 10 liters of fruit punch B to create fruit
punch C. Fruit punch A contains 25% orange juice and the resulting fruit punch C contains 35% orange juice.
What percent orange juice does fruit punch B contain?
OA. 20%
OB. 50%
OC. 40%
OD 25%

Answers

Answer:

A. 20%

Step-by-step explanation:

fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.

Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards, what is the width of the festival?

Answers

Answer: 43 yards.

Step-by-step explanation:

Let the shape of the area occupied for festival be rectangle.

and area of rectangle = length x width

Given: Area of the festival= 2,494 square yards.

Length of the festival=  58 yards

Then width = (Area )÷ (length)

=  (2494)÷58  yards

= 43 yards

hence, the  width of the festival = 43 yards.


Dylan mowed three lawns for $45. Determine the cost per lawn

Answers

Answer:

$15

Step-by-step explanation:

Dvide 45 by 3 to get 15.

Answer: $15 per lawn

Explanation: If he mowed 3 laws for $45, you need to do 45 divided by 3 which equals 15 to find out he makes $15 per lawn.

I need help please and thank you in advance

Answers

im pretty sure it’s g(x) = x^2 - 3

To finish a certain job in 8 days in 6 workers are needed. if it is required to finish the same job in 2 days advance how many workers have to work?​

Answers

Answer:

The job needs 48 worker/days.

Step-by-step explanation:

To do it in 4 days, 48/4 or 12

Solve the inequality. 12x<-144

Answers

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

What is the greatest whole number that rounds to 2, 100when rounded to the nearest​ hundred? The least whole​ number?

Answers

Answer:

i am pretty sure it would be 8

Step-by-step explanation:

when it rounds to 2 but also rounds to 100, 8 would be the best bet.

Anyone know how to do this? I’m stuck

Answers

I’ll make it easier, so for number 2 on number 6 7/8 times 8 and 6 and you have 48, then add the top number which would be 55. Then for the second number, 4 1/3 do the same thing! 4*3= 12+1= 13 then add 13+55 and your answer is 68! Then put it in fraction form! 17/25, then all you do is simplify it! If it can’t be simplified (17/25 can not be simplified), it stays the same. Hope that helps! :)

Find the slope of the line

Answers

(0,5) is the answer

△BCD≅△GEF . If BC=10 , CD=3x+8 and EF=4x+6 , then what is the measure of CD ?

Answers

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

[tex] 3x + 8 = 4x + 6[/tex]

[tex]8 = 4x + 6 - 3x[/tex]

[tex]8 = 1x + 6[/tex]

[tex]1x + 6= 8[/tex]

[tex]1x = 8 - 6[/tex]

[tex]1x = 2[/tex]

[tex]x = 2[/tex]

Then :-

EF =

[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]

CD =

[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]

Therefore , CD = 14 .

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]

Given that CD=3x+8 and EF=4x+6

[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]

The value of x=2

Now we find measure of CD

[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]

The measure of CD is 14

Learn more :  brainly.com/question/18373823

Graph the line y-3=-1/3(x+2)

Answers

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

PLEASE HELP ASAP
Solve the following system of equations.
y = 5x – 3
y = x2 + 3x – 2
Question 4 options:

A)

(–1,8)

B)

(0,–3)

C)

(2,7)

D)

(1,2)

Answers

The Answer fam is......... D) (1,2)

The solution for the given system of equations as per linear and quadratic equation is (x, y) = (1, 2).

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

What is a quadratic equation?

"A quadratic equation is an equation in which the highest power of the variable is always 2."

Given two linear equations are:

y = 5x – 3                        (1)  

y = x² + 3x – 2                (2)

Therefore, combining the two equations, we get:

5x - 3 = x² + 3x - 2

⇒ x² - 5x +3x - 2 + 3 = 0

⇒ x² - 2x + 1 = 0

⇒ (x)² - 2 × x × 1 + (1)² = 0

⇒ (x - 1)² = 0

⇒ (x - 1) = 0

⇒ x = 1

Now substituting the value of 'x' in the equation (1), we get:

y = 5 × 1 - 3

⇒ y = 2

Therefore, by solving the given two equations, we get: x = 1, y = 2.

Learn more about linear and quadratic equation here: https://brainly.com/question/26020597

#SPJ2

Two angles of a triangle measure 12 and 40. What is the third angle?

Answers

The sum of angles in the triangles is 180 degrees 12+40+X=180

52+X=180

X=180-52 = 128 degrees

X is the third angle of the triangle

Answer:

The third angle is 128°.

Step-by-step explanation:

We need to remember that the sum of the 3 angles of a triangle is 180°, hence if we have 2 angles, the third angle is:

[tex] 180 = \alpha + \beta + \theta [/tex]

[tex] 180 = 12 + 40 + \theta [/tex]

[tex] \theta = 180 - 52 [/tex]

[tex] \theta = 128 [/tex]

Therefore, the third angle is 128°.

I hope it helps you!

A college food court surveyed 325 students to see how many drink tea and how many drink coffee.
The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
-All students in the survey
(a) How many of the students drink coffee?
Drink
tea
Drink
coffee
0
students
94
77
56
(b) How many of the students drink tea or coffee (or both)?
. students
98
(c) How many of the students do not drink both tea and coffee?
students

Answers

Answer:

Add the 3 then subtract that from 325

you should know part B

Step-by-step explanation:

Kyle plans to estimate the area of the figure below by identifying the full and partial squares that make up the figure.
If Kyle uses the strategy, which statement best describes the figure?
O 20 full squares and 8 partial squares
0 24 full squares and 12 partial squares
0 36 full squares and 12 partial squares
O 40 full squares and 8 partial squares

Answers

Answer:

The answer is one hundred percent D

Step-by-step explanation:

Hi

Answer:

D

Step-by-step explanation:

P
L
E
A
S
E

H
E
L
P

M
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Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.

Answers

Answer:

the last option D.comparing the decimal equivalents of their scores shows that Zack won because -3.6 is less than -3.625

Step by step explanation

Got it correct on edge

Answer:

D

Step-by-step explanation:

10,716/ 456 written as a decimal

Answers

Explanation/Answer: 23.5

The decimal value of 10716 / 456 is 23.5.

Given,

10716 / 456.

We need to convert it into a decimal value.

What is a decimal number?

A number that has a decimal point is called a decimal number.

In order to convert a fraction into a decimal number, we need to divide the numerator by the denominator.

Example: 7/2 =3.5

Find the decimal number.

We have,

10716 / 456

We can directly divide or we can simplify the fraction into a simpler fraction.

10716 = 12 x 893

456 = 12 x 38

So,

= 12 x 893 / 12 x 38

= 893 / 38
Divide 893 by 38

We get,

= 23.5

Thus the decimal value of 10716 / 456 is 23.5.

Learn more about converting fractions into decimals here:

https://brainly.com/question/2362378

#SPJ2  

Show your work:
−15x = 0

Answers

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0

Is this a function or not a function? (Picture)

Answers

Answer:

Yes it is a function

Step-by-step explanation:

I can do math can I get brainliest?

Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.

Answers

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

[tex]x^2 + y^2 = 8[/tex]

If we put x=0 then we get two value of y i.e [tex]\sqrt8[/tex] and [tex]-\sqrt8[/tex] which satisfy the equation  and therefore the equation is not a function.

Need help asap PLEASE same problem just made it easier to see

Answers

Label XY with 3.

Label angle X with 53 degrees.

Label angle Y with 90 degrees.

Label angle C with 37 degrees.

Label angle A with 53 degrees.

Label BC with 4.

Label AC with 5.

Answer: i don't know if you want degrees or the lengths so i did both

∠ACB = 37°

∠BAC = 53°

∠ZXY = 53°

∠XYZ = 90°

∠XZY = 37°

∠ABC = 90°

BC = 4

AC = 5

AB = 3

YZ = 4

XY = 3

XZ = 5

Step-by-step explanation:

37 + 90 = 127

180 - 127 = 53

37 + 90 + 53 = 180

What place value is the 5 in the following number, 123.465? earn 100 points!!!

Answers

Answer:

it will be in the thousands  place for sure

Step-by-step explanation:

hope that helps =) i forgot there were a decimal point

Answer:

The place value of 5 in "123.465" is the thousandths

Step-by-step explanation:

The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.

Which of the following is a binomial?

Answers

Answer:

B

Step-by-step explanation:

u/5 =13/7 solve for u

Answers

Answer:

u = 65/7

Step-by-step explanation:

u/5 = 13/7

Using the cross product

7u = 5*13

7u = 65

Divide each side by 7

7u/7 = 65/7

u = 65/7

-6(x+4) what this answer simplified.

Answers

Answer:

-6x-24

Step-by-step explanation:

all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting

Answer:

Step-by-step explanation:

Give the probability distribution for X:

x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8

Find Var.

Answers

Answer:

Var(x)=1

Step-by-step explanation:

x p(x)         x² x*p(x) x²*p(x)

0 1/4     0 0         0

1 1/8     1 1/8             1/8

2 1/2     4 1           2

3 1/8     9 3/8            9/8

Total                      3/2              13/4

The required variance can be computed as

Var(x)=sumx²*p(x)-(sum(x*p(x)))²

Var(x)=13/4-(3/2)²

Var(x)=13/4-9/4

Var(x)=4/4

Var(x)=1

Thus, the required variance is 1.

Find the product: 5(2x2 + 4x + 3)

Answers

Answer:

10x^2+20x+15

Step-by-step explanation:

5(2x^2+4x+3)

u distributed it and u get

10x^2+20x+15

Answer: I am pretty sure it is 115+20x

Step-by-step explanation: You have to do distributive Property

10 times 10+ 20x+15

100+20x+15

115+20x

Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)

Answers

im not sure just yet

Do yoi think you can sovle this?
Free brainlest for answer, 25 points.

Answers

Answer:

23 did i get it?

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