Given: LM ∥ KN, KL ∥ NM


LP = h­1 = 5, MQ = h2 = 6

Perimeter of KLMN = 42

Find: Area of KLMN

Given: LM KN, KL NMLP = H1 = 5, MQ = H2 = 6 Perimeter Of KLMN = 42 Find: Area Of KLMN

Answers

Answer 1

Answer:

57 3/11 square units

Step-by-step explanation:

The area of a parallelogram is the product of its height and the length of the perpendicular base. The given conditions allow us to find the area two ways. Of course, the area is the same in each case, so ...

area(KLMN) = KN·LP = KL·MQ

KN·5 = KL·6 . . . . . substituting the given numbers

KL = (5/6)·KN . . . . solve for one of the lengths in terms of the other

Now, the perimeter is the sum of the side lengths, and opposite sides are the same length, so we have the relation ...

perimeter(KLMN) = KN + KL + KN + KL = 2(KN +KL)

42 = 2(KN +(5/6)KN) = (11/3)KN . . . . . substitute for KL from above

KN = 42·(3/11) . . . . . . multiply by 3/11

area(KLMN) = KN·5 = (42·3/11)·5 = 630/11 = 57 3/11

_____

Check

KN = 126/11

KL = 5/6·KN = 105/11

KN·5 = 630/11 = KL·6 = 630/11 . . . . . areas match

KL+KN = 231/11 = 21 = half the perimeter . . . . . perimeter agrees


Related Questions

18........................

Answers

Answer:

D

Step-by-step explanation:

We will use the radical property  [tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex]  to simplify this.

The problem is  [tex]\sqrt{169*x^5}[/tex]

We can simplify this as:

[tex]\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}[/tex]

Now we can use the property of radicals,  [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex]  , to write as:

[tex]\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}[/tex]

D is right answer.

Answer:

d. [tex]13x^{\frac{5}{2}}[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt{169x^5}[/tex]

We can rewrite this as

[tex]\sqrt{169}\times \sqrt{x^5}[/tex]

We rewrite as a rational exponent to obtain;

[tex](13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}[/tex]

Recall that;

[tex](a^m)^n=a^{mn}[/tex]

[tex]13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}[/tex]

[tex]13^1 (x)^{\frac{5}{2}}[/tex]

The correct choice is D

[tex]13x^{\frac{5}{2}}[/tex]

Given the following linear function, sketch the graph of the function and find the domain and range. f(x)=2/3-3

Answers

Answer:

f(x)= 2/3-3 is undefined.

Which two numbers does 65/10 lie between?

Answers

Answer:

6 and 7

Step-by-step explanation:

because 65/10 equals 6.5

Answer:

It lies between 6 and 7

what decimal is equivalent to -7 / 8​

Answers

That decimal would be -.875

Hey there!

In order to find the decimal divide the numerator (top number) from the denominator (bottom number)

~ -7 ÷ 8 = 0.875 (as a decimal)

~ Thus your answer will most likely be, -0.875

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

A group of volunteers has been collecting toys to deliver to a local charity. Over the last 6 days, The volunteers have collected 492 toys. What has been their collection rate, in toys per day?

Answers

Answer:

82 toys per day

Step-by-step explanation:

492 divided by 6 = 82 (toys)

6 divided by 6 = 1 (days)

492/6 = 82/1

Answer:

a

Step-by-step explanation:

HELP PLS WILL MARK BRAINLIEST HAVE PICTURE BELOW
Drag a figure into each blank space so that the two figures in the row match the description.

Answers

Answer:

Figure 4: Square

Figure 1: Parallelogram

Figure 2: Rectangle

Step-by-step explanation:

Question 1: If they're not similar it can't be the same shape but if they have the same corresponding angles it has to be either a rectangle or a square. It can't be a rectangle so it must be a square.

Question 2: Can't be similar so it can't be the same shape. The only two shapes with side lengths proportional are the parallelogram and the rectangle. It can't be the rectangle so it must be the parallelogram.

Question 3: If it's similar it has to be the same shape so the answer must be the rectangle.

Answer:

hope this helps

Step-by-step explanation:

Which of the following is the converse of the statement, "If you are smiling, thern you are happy"?
O A. If you are happy, then you are not smiling
O B. If you are not happy, then you are not smiling
O C. If you are not smiling, then you are not happy
O D. If you are happy, then you are smiling

Answers

The converse of the statement, "If you are smiling, then you are happy" is Option(C) "If you are not smiling, then you are not happy".

Converse of a statement -

The converse of a statement is formed by switching the hypothesis and the conclusion. Thus the converse of a true statement is always false and for conditional relation statement, "If true then yes". If there are two statement proposition p and q then the converse of the statements is denoted as p→q.

How to find the converse of the given statements ?

Original statement given "If you are smiling, then you are happy" .

Converse is just opposite of the given statement denoting the same meaning of the Hypothesis.

Thus we have the converse statement in Option (C),

"If you are not smiling, then you are not happy".

To learn more about converse statement , refer -

https://brainly.com/question/1899843

#SPJ2

 How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 150​-ft ​radius? Use 3.14 for pi.

Answers

Final answer:

To surround a circular garden with a 150-ft radius every 3 inches with flowers, calculate the garden's circumference using the formula C = 2πr, convert it to inches and divide by the spacing. You'd need approximately 3,768 flowers.

Explanation:

To calculate the number of flowers needed to surround a circular garden with a 150-ft radius spaced every 3 inches, you have to find the circumference of the garden and then determine how many 3-inch spaces fit along that circumference.

First, find the circumference (C) of the garden using the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius. In this case:

C = 2 × 3.14 × 150 ftC = 2 × 3.14 × 150 ft = 942 ft

Convert 942 ft into inches because the spacing is in inches:

C = 942 ft × 12 in/ft = 11,304 in

Now, divide the circumference in inches by the spacing to get the number of flowers:

Number of flowers = 11,304 in / 3 in per flowerNumber of flowers = 3,768

Therefore, you would need 3,768 flowers to surround the garden spaced every 3 inches.

picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts

Answers

Answer:

you have 10 shirts in all to choose from

Step-by-step explanation:

if ur picking a shirt then  you will have 10 all together.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 8/10, 4/5, or 80%.

Since there are 8 blue shirts out of 10 shirts, you have a 8/10 chance to pick a blue shirt. Since this is probability, it is best to show it in percent and decimal form too.

8/10=80%=0.8 chance

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The point slope form of the eqaution of the line that passes through (-5,-1) and (10, -7) is y+7= -2/5 (x - 10) what is the standard form of the equation for this line 2x-5y=-15 2x-5y= -17 2x+5y=-15 2x+5y=-17

Answers

Answer:

2x + 5y = -15

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

We have the equation in point-slope form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]

Convert it to the standard form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]     multiply both sides by 5

[tex]5y+35=-2(x-10)[/tex]         use the distributive property a(b + c) = ab + ac

[tex]5y+35=(-2)(x)+(-2)(-10)[/tex]

[tex]5y+35=-2x+20[/tex]          subtract 35 from both sides

[tex]5y=-2x-15[/tex]            add 2x to both sides

[tex]2x+5y=-15[/tex]

Eli claims that the product of and is . Which explains whether Eli is correct?

Answers

Answer: last option.

Step-by-step explanation:

According to the Product of powers property, you have:

[tex]a^n*a^m=a^{(n+m)}[/tex]

As you can see, when you can add the exponents when you have powers with equal base.

Then,  [tex]6^5[/tex]  and [tex]5^{-3}[/tex] do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

Answer:

d

Step-by-step explanation:

please mark brainliest

A plate lunch costs $1.35. Bought separately, the items cost: sandwich, $0.95; milk, $0.35; and fruit, $0.20. Which is the less expensive way to buy the items?

Plz explain

Answers

Add 0.95 0.35 and 0.20 and if it’s less than 1.35 it’s ur answer but if 1.35 is less, than that’s ur answer

Answer:

Step-by-step explanation:

Cost of items =$0.95+$0.35+$0.20=$1.50

Plate cost=$1.35

Plate is less expensive way to buy items

Help me solve plz. Use substitution to check. y - 4 = 36​

Answers

Answer:

y = 40

Step-by-step explanation:

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides.

y - 4 = 36

y - 4 (+4) = 36 (+4)

y = 36 + 4

y = 40

Check. Substitute 40 for y.

Plug in 40 for y.

y - 4 = 36

(40) - 4 = 36

36 = 36 (True).

~

Bob is thinking about leasing a car the lease comes with an interest rate of 8% determine the money factor that will be used to calculate bonus payment

Answers

Answer:

0.00333

Hope that helps.

What is the surface area of this cylinder to the nearest integer?

57 in2

75 in2

132 in2

250 in2

Answers

Answer:

131.95in^2

Step-by-step explanation:

The formula for surface area in a cylinder is A = 2pi*r*h + 2pi*r^2

The radius in this cylinder is half the diameter in the cylinder which is 6, so the radius is 3.

The height is 4 since it is given.

Then we just plug the values into the equation and we get a surface area around 131.95in^2

Answer:

The answer is C. 132 [tex]in^{2}[/tex]

Step-by-step explanation:

Remember: If the answer is not there, check your work or round up! :)

On a local sports​ team, 20​% of 50 players are left​-handed. How many left​-handed players are​ there?

Answers

Answer:

10

Step-by-step explanation:

20%x50=10

Final answer:

To find the number of left-handed players on the sports team, 20% of the 50 total players is calculated, which equals 10 left-handed players.

Explanation:

To calculate the number of left-handed players on a local sports team where 20% of the players are left-handed, you need to apply the percentage to the total number of players. If there are 50 players in total, you would calculate 20% of 50:

Convert the percentage to a decimal by dividing it by 100. So, 20% becomes 0.20.

Multiply this decimal by the total number of players to find the number of left-handed players: 0.20  imes 50 = 10.

Therefore, there are 10 left-handed players on the team.

please graph this.
x + y ≤ 6
x ≤ 4

Answers

Answer:

The graph attached

y ≤ 6 - x

x ≤ 4

Step-by-step explanation:

∵ x + y ≤ 6

∴ y ≤ 6 - x

* Lets draw the line y = 6 - x

* Assume that:

· x = -1 ⇒ y = 7 ⇒ (-1 , 7)

· x = 0 ⇒ y = 6 ⇒ (0 , 6)

· x = 1 ⇒ y = 5 ⇒ (1 , 5)

· x = 2 ⇒ y = 4 ⇒ (2 , 4)

* Plot the points on the graph and make the line sold ( ≤ )

* Shade all the region under the line

∵ x ≤ 4

* Lets draw the line x = 4

* All the points on this line have x-coordinate = 4 (vertical line)

* Draw a vertical line on x = 4 the line is sold (≤)

* Shade all the region left to the line

* The solutions of this system of equations will be on the

  common shaded

  parts of the two lines (red and blue together)

according to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Answers

Answer:

[tex]\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}[/tex]

Step-by-step explanation:

The given polynomial function is

[tex]f(x)=5x^3-7x+11[/tex]

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

[tex]\pm\frac{11}{1}=\pm11[/tex]

[tex]\pm\frac{1}{1}=\pm1[/tex]

[tex]\pm\frac{11}{5}[/tex]

[tex]\pm\frac{1}{5}[/tex]

Line jk passes through points j(-4,-5) and k(-6,3). What is the value of b

Answers

Answer:

b = -21

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

b - y-intercept → (0, b)

We have the points J(-4, -5) and K(-6, 3).

The points J, K and y-intercept A(0, b) are collinear. Therefore the slope of JA and KA are the same.

We have the equation:

[tex]\dfrac{b-(-5)}{0-(-4)}=\dfrac{b-3}{0-(-6)}\\\\\dfrac{b+5}{4}=\dfrac{b-3}{6}\qquad\text{cross multiply}\\\\6(b+5)=4(b-3)\qquad\text{use the distributive property}\\\\6b+30=4b-12\qquad\text{subtract 30 from both sides}\\\\6b=4b-42\qquad\text{subtract 4b from both sides}\\\\2b=-42\qquad\text{divide both sides by 2}\\\\b=-21[/tex]

How many 2/3 's make up 4 1/5

Answers

Answer:

6³/₁₀

Step-by-step explanation:

Number of bits = Total amount/Size of each bit

                         = (4⅕)/(⅔)

Convert the mixed number to an improper fraction

No. = (²¹/₅)/(⅔)

Invert the denominator and change division to multiplication

No. = ²¹/₅ × ³/₂

Multiply numerators and denominators.

No. = ⁶³/₁₀

Convert the improper fraction to a mixed number.

No. = 6³/₁₀

It takes 6³/₁₀ ⅔s to make up 4⅕.

Plz help me i need it

Answers

Answer:  [tex]a)\quad f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{3}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\\dfrac{x+5}{3}=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{\dfrac{x+5}{3}}=y[/tex]

Giraffes are herbivores,or plant eaters. A giraffe can eat up to 75 pounds of leaves each day. Write and evaluate an expression to find how many pounds of leaves 5 giraffes can eat in a week.​

Answers

Answer: 2625

Let’s say you multiply 5 giraffes by 75 pounds = 375lbs 5 giraffes eat a day multiply the 5 giraffes and they answer should be 2625lbs

the First one witch for me is six (6)

Convert 6 pounds, 4 oz. to ounces.

64 oz.
76 oz.
95 oz.
100 oz.

Answers


[tex]1lb = 16oz. \\ 16 \times 6 = 96oz \\ 96 + 4 = 100 \: oz \\ the \: answer \: is \: 100 \: oz[/tex]

Answer:

The answer is 100 oz

Step-by-step explanation:

HOPE THIS HELPS YOU

Use the slope formula to find the missing coordinate. m = -7/2 , T(13, 2), W(_, -5)
A. -11
B. 11
C. 15

Answers

Answer:

Option C. [tex]15[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]T(13,2)\ W(x2,-5)[/tex]

[tex]m=-\frac{7}{2}[/tex]

Substitute the values  and solve for x2

[tex]-\frac{7}{2}=\frac{-5-2}{x2-13}[/tex]

[tex]-\frac{7}{2}=\frac{-7}{x2-13}[/tex]

equate the denominators

[tex]x2-13=2\\x2=2+13\\ x2=15[/tex]

Answer:

The answer is C-15

The town swimming pool is d feet deep. The width of the pool is 5 feet greater than 5 times its depth. The length of the pool is 50 feet greater than 5 times its depth. Enter a simplified expression to represent the volume of the pool.

Answers

Answer:

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

Step-by-step explanation:

If the pool has a rectangular shape then its volume can be written as:

V = Width * Length * Depth

Let's call:

w = width

l = length

d = depth.

So we know from the statement of the problem that:

[tex]d = d[/tex]

[tex]w = 5 + 5d[/tex]              (5 feet more than 5 times the depth)

[tex]l = 50 + 5d[/tex]              (50 feet more than 5 times the depth)

Then, the volume can be written according to the depth as:

[tex]V = d(5 + 5d)(50 + 5d)[/tex]

[tex]V = d[250 + 25d + 250d + 25d ^ 2][/tex]

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

The volume of the swimming pool is represented by the expression V = (5d + 50)(5d + 5)(d), where d is the depth of the pool.

The student is asked to find a simplified expression to represent the volume of the swimming pool, with the pool's depth given as d feet. To calculate the volume, we need to find the dimensions for the width and length of the pool. The width is described as 5 feet greater than 5 times its depth, which translates to

5d + 5 feet.

The length is 50 feet greater than 5 times its depth, so it will be

5d + 50 feet. The volume (V) of a rectangular solid is given by the product of its length (L), width (W), and depth (D), so the volume of this swimming pool is

V = LWD = (5d + 50)(5d + 5)(d).

Solve –3(2 – 5w) = 9w + 66 for w.

Answers

-6 + 15w = 9w + 66

6w = 72

w = 12

Patrick 8
Jeffery 12
Robin 7
Sally 15
Manuel 4
Ming 10
Jesse 12
Mark 17
Jenna 16
The owner of a car dealership keeps track of the monthly car sales for the salespeople at the dealership. What is the range for the number of cars sold?

My Answer:

Answers

The range is from 4 to 17.

When you are identifying a range you need to identify the highest and lowest number. This is your range because all of the other numbers are between the identified two.

Answer:

Step-by-step explanation:

4 to 17.. that is the answer to ur question love.

A die is rolled 3 times. What is the probability of getting 1’s on each roll?

Answers

Answer: The answer is around 16.66%

Answer:

Step-by-step explanation  

The first step you have to get it into this form

a[tex]x^{2}[/tex] + bx + c

So that would be

3x[tex]x^{2}[/tex] + 1x + c

we do not know what c is

we have to get x by it self from 3x[tex]x^{2}[/tex] so first you have to square it now we are at 9x

    9x divided by 9 that would leave us with x

so our finished product is x + 1x + c  

we have to get x by itself from 1x so we do exactly what we just did 1x divided by 1x would leave us with x

x + x=[tex]x^{2}[/tex] + x

[tex]x^{2}[/tex] + c is the finished product which is your answer

Please solve this question ASAP.

Answers

Answer:

m∠QPR = 80°

Step-by-step explanation:

Look at the picture.

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore

In ΔTQR we have the equation:

[tex]\alpha+\beta+130^o=180^o[/tex]         subtract 130° from both sides

[tex]\alpha+\beta=50^o[/tex]

In ΔPQR we have the equation:

[tex]2\alpha+2\beta+m\angle QPR=180^o[/tex]

[tex]2(\alpha+\beta)+m\angle QPR=180^o[/tex]

Substitute from the first equation

[tex]\alpha+\beta=50^o[/tex]

[tex]2(50^o)+m\angle QPR=180^o[/tex]

[tex]100^o+m\angle QPR=180^o[/tex]            subtract 100° from both sides

[tex]m\angle QPR=80^o[/tex]

What is the mean of the mean of the data set below?


12, 15, 10 ,11

Answers

Answer:

12

Step-by-step explanation:

12+15+10+11=48

48/4=12

Sum of all the data which is 12+15+10+11=48 then divide by how many data point which is 4

48/4 =12

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