What is the value of k?
k=
m
Done
Intro
DOOODDOOO

What Is The Value Of K?k=mDoneIntroDOOODDOOO

Answers

Answer 1

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

All of the triangles are similar, so the ratio of short side to long side is the same for all.

  4/8 = k/4

  k = 16/8 = 2 . . . . multiply by 4 and simplify

The value of k is 2.

_____

Additional comment

By similar reasoning or by the Pythagorean theorem, ...

  l = √20 = 2√5

  m = √80 = 4√5


Related Questions

HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)

Answers

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

For more about triangles,

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Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50​

Answers

Answer:

2.25 should be the right answer

simplify the expression -3/8(-4y+z)

Answers

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Am not sure what this answer is

Answers

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

the correct answer would be D/ 100 pieces

I need to know where to place the dot​

Answers

Answer:

in your but

Step-by-step explanation:

nah jk its 3,-3

What is the slope of the line graphed on the coordinate plane?​

Answers

Answer:

3/4 slope

Step-by-step explanation:

Mark me brainleist please ;c

don’t make me cry ;c

Step-by-step explanation:

When the line moves up 3 blocks, it also moves across 4 blocks.

Therefore the slope of the line is 3/4.

A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%

Answers

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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Please answer quickly, thanks. :)

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

Plz help. Will give brainliest for the best answer

Answers

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^





(Please don't answer with anything random just for the points)

Answers

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)

Answers

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

What is polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

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Help me pls ! if you do l give you the brainiest

Answers

the first answer is correct because the terms are alike in both expressions

The two expressions in answer A are equivalent with each other.

The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the temperature change.

Enter the correct answers in the boxes.

Expression:
a

Temperature change:
∘F

Answers

2- F= -15
I assume that F (is the variable) it’s what’s missing from the equation. The change i. temperature. To find F add 2 +(-15) which is -13 so the change in temperature is -13

Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.

Answers

Answer:
H. Add 2 to both sides of the inequality.

Explanation:
To get x by itself, I would add 2 on both sides.

15 3/4 < -2 + x
+2 on both sides
17 3/4 < x

A store has a video game rewards program. The fee to join the program is $10 plus $3 per week. Which equation can be used to find y, the total cost that Mark will spend to join the rewards program after x weeks?
a
y = 10x + 3
b
y = 3x + 10
c
y = 3x +12
d
y = 12x + 10

Answers

I am pretty sure the Anwser is C

PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

A(4, -3) ;      B(2, 1)

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

          [tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]

m = -2 ;  A(4,-3)

[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]

Garret paid 20$ for five movie tickets find the cost per ticket



Megan paid 22$ for 7 books determine the cost per book

Answers

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8

GwhbbsnNn mmNlnananK a Kknaba

Answers

dysodjd kfudoandudslfhsotn

Where is the blue dot on the number line?

Answers

it should be -2.1
if not then sorry

Answer: The blue dot is -2.1

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

What could be the value of x in the number sentence? 6 + x < 10

Answers

Answer:

the answer is 3 or less dhevvshsbdvdd

One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake

Answers

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

Answer:

Each person will get 1/8 of the whole cake but 1/4 of half of the cake.

Step-by-step explanation:

Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.

A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?

Answers

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answers

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

What’s the answer I need help!!

Answers

Answer:

150

Step-by-step explanation:

add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    72² + 65² = x²Exponents:                           5184 + 4225 = x²Add:                                      9409 = x²Isolate x:                               97 = xRewrite:                                x = 97

please help me, this isn't a test or quiz I just need some help.

Answers

the right is answer is B) alternate exterior

Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?

Answers

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer​

Answers

Answer:

20 years

Step-by-step explanation:

We can find the time it took to invest

Using the formula for calculating simple interest as shown

SI = PRT/100

Given

Principal P =  $600,000

SI = $39,000

Rate R = 3 1/4%

Required

Time

Substitute

39,000 = 600,000*13/400 * T

39,000 * 400 = 600,000*13 * T

15,600,000 = 7,800,000T

T = 15,600,000/7,800,000

T = 20

Hence it took 20years for the sum invested to generate the interest

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